TSTP Solution File: ALG155+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG155+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 : n029.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 16:38:27 EDT 2023
% Result : Unsatisfiable 50.81s 7.77s
% Output : Proof 253.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG155+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 02:58:56 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.64 ________ _____
% 0.20/0.64 ___ __ \_________(_)________________________________
% 0.20/0.64 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.64 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.64 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.64
% 0.20/0.64 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.64 (2023-06-19)
% 0.20/0.64
% 0.20/0.64 (c) Philipp Rümmer, 2009-2023
% 0.20/0.64 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.64 Amanda Stjerna.
% 0.20/0.64 Free software under BSD-3-Clause.
% 0.20/0.64
% 0.20/0.64 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.64
% 0.20/0.64 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.65 Running up to 7 provers in parallel.
% 0.20/0.67 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.67 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.67 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.67 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.67 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.67 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.67 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 6.92/1.81 Prover 4: Preprocessing ...
% 7.36/1.84 Prover 1: Preprocessing ...
% 7.61/1.86 Prover 0: Preprocessing ...
% 7.61/1.86 Prover 2: Preprocessing ...
% 7.61/1.86 Prover 3: Preprocessing ...
% 7.61/1.87 Prover 5: Preprocessing ...
% 8.10/1.94 Prover 6: Preprocessing ...
% 13.29/2.69 Prover 3: Constructing countermodel ...
% 13.29/2.69 Prover 2: Constructing countermodel ...
% 13.86/2.74 Prover 1: Constructing countermodel ...
% 14.18/2.78 Prover 4: Constructing countermodel ...
% 14.18/2.81 Prover 0: Constructing countermodel ...
% 14.18/2.82 Prover 6: Constructing countermodel ...
% 17.50/3.29 Prover 5: Constructing countermodel ...
% 50.81/7.76 Prover 3: proved (7101ms)
% 50.81/7.77
% 50.81/7.77 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 50.81/7.77
% 50.81/7.77 Prover 6: stopped
% 50.81/7.78 Prover 5: stopped
% 50.81/7.78 Prover 2: stopped
% 51.35/7.79 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 51.35/7.79 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 51.35/7.79 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 51.35/7.79 Prover 0: stopped
% 51.35/7.80 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 51.35/7.81 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 52.70/8.19 Prover 8: Preprocessing ...
% 54.48/8.26 Prover 11: Preprocessing ...
% 55.79/8.39 Prover 13: Preprocessing ...
% 55.79/8.41 Prover 10: Preprocessing ...
% 55.79/8.44 Prover 7: Preprocessing ...
% 55.79/8.47 Prover 8: Constructing countermodel ...
% 57.44/8.60 Prover 11: Constructing countermodel ...
% 57.44/8.81 Prover 13: Constructing countermodel ...
% 58.67/8.92 Prover 10: Constructing countermodel ...
% 58.67/8.98 Prover 7: Constructing countermodel ...
% 83.79/12.32 Prover 13: stopped
% 83.79/12.34 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 87.46/12.58 Prover 16: Preprocessing ...
% 89.72/12.97 Prover 16: Constructing countermodel ...
% 113.18/16.02 Prover 1: stopped
% 113.18/16.02 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 113.47/16.30 Prover 19: Preprocessing ...
% 116.24/16.45 Prover 19: Constructing countermodel ...
% 124.96/17.62 Prover 16: stopped
% 137.69/19.64 Prover 19: stopped
% 195.65/28.00 Prover 4: stopped
% 200.80/28.90 Prover 7: stopped
% 234.91/39.36 Prover 11: stopped
% 236.78/39.90 Prover 10: Found proof (size 574523)
% 236.78/39.90 Prover 10: proved (32113ms)
% 236.78/39.90 Prover 8: stopped
% 236.78/39.90
% 236.78/39.90 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 236.78/39.90
% 238.74/40.74 % SZS output start Proof for theBenchmark
% 239.41/40.97 Assumptions after simplification:
% 239.41/40.97 ---------------------------------
% 239.41/40.97
% 239.41/40.97 (ax1)
% 239.52/41.01 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 239.52/41.01 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 239.52/41.01 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 239.52/41.01 $i] : ? [v14: $i] : ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 &
% 239.52/41.01 op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 &
% 239.52/41.01 op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 &
% 239.52/41.01 op(e1, e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 239.52/41.01 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 239.52/41.01 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 239.52/41.01 $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 =
% 239.52/41.01 e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e3 | v13 = e2 |
% 239.52/41.01 v13 = e1 | v13 = e0) & (v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11
% 239.52/41.01 = e3 | v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 |
% 239.52/41.01 v10 = e0) & (v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 |
% 239.52/41.01 v8 = e1 | v8 = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 |
% 239.52/41.01 v6 = e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 239.52/41.01 (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 = e1 | v3
% 239.52/41.01 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3 | v1 = e2 | v1
% 239.52/41.01 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 239.52/41.01
% 239.52/41.01 (ax10)
% 239.52/41.02 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 239.52/41.02 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(v1, v1) = v2 &
% 239.52/41.02 op(e1, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e1, e3) = v1 &
% 239.52/41.02 $i(v1))))
% 239.52/41.02
% 239.52/41.02 (ax11)
% 239.52/41.02 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 239.52/41.02 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(v1, v1) = v2 &
% 239.52/41.02 op(e2, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e2, e3) = v1 &
% 239.52/41.02 $i(v1))))
% 239.52/41.02
% 239.52/41.02 (ax12)
% 239.52/41.02 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 239.52/41.02 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(v1, v1) = v2 &
% 239.52/41.02 op(e2, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e2, e0) = v1 &
% 239.52/41.02 $i(v1))))
% 239.52/41.02
% 239.52/41.02 (ax13)
% 239.52/41.02 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 239.52/41.02 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(v1, v1) = v2 &
% 239.52/41.03 op(e3, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e3, e0) = v1 &
% 239.52/41.03 $i(v1))))
% 239.52/41.03
% 239.52/41.03 (ax14)
% 239.52/41.03 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 239.52/41.03 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(v1, v1) = v2 &
% 239.52/41.03 op(e0, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e0, e2) = v1 &
% 239.52/41.03 $i(v1))))
% 239.52/41.03
% 239.52/41.03 (ax15)
% 239.52/41.03 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 239.52/41.03 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(v1, v1) = v2 &
% 239.52/41.03 op(e3, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e3, e2) = v1 &
% 239.52/41.03 $i(v1))))
% 239.52/41.03
% 239.52/41.03 (ax16)
% 239.52/41.03 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 239.52/41.03 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(v1, v1) = v2 &
% 239.52/41.03 op(e0, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e0, e3) = v1 &
% 239.52/41.03 $i(v1))))
% 239.52/41.03
% 239.52/41.03 (ax17)
% 239.52/41.04 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 239.52/41.04 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(v1, v1) = v2 &
% 239.52/41.04 op(e2, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e2, e3) = v1 &
% 239.52/41.04 $i(v1))))
% 239.52/41.04
% 239.52/41.04 (ax18)
% 239.52/41.04 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 239.52/41.04 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(v1, v1) = v2 &
% 239.52/41.04 op(e1, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e1, e0) = v1 &
% 239.52/41.04 $i(v1))))
% 239.52/41.04
% 239.52/41.04 (ax19)
% 239.52/41.04 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 239.52/41.04 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(v1, v1) = v2 &
% 239.52/41.04 op(e3, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e3, e0) = v1 &
% 239.52/41.04 $i(v1))))
% 239.52/41.04
% 239.52/41.04 (ax2)
% 239.52/41.07 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 239.52/41.07 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 239.52/41.07 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 239.52/41.07 $i] : ? [v14: $i] : ? [v15: $i] : (((v15 = e3 & op(e3, e3) = e3) | (v14 =
% 239.52/41.07 e3 & op(e3, e2) = e3) | (v11 = e3 & op(e3, e1) = e3) | (v6 = e3 & op(e3,
% 239.52/41.07 e0) = e3)) & ((v15 = e3 & op(e3, e3) = e3) | (v13 = e3 & op(e2, e3) =
% 239.52/41.07 e3) | (v9 = e3 & op(e1, e3) = e3) | (v3 = e3 & op(e0, e3) = e3)) & ((v15
% 239.52/41.07 = e2 & op(e3, e3) = e2) | (v14 = e2 & op(e3, e2) = e2) | (v11 = e2 &
% 239.52/41.07 op(e3, e1) = e2) | (v6 = e2 & op(e3, e0) = e2)) & ((v15 = e2 & op(e3,
% 239.52/41.07 e3) = e2) | (v13 = e2 & op(e2, e3) = e2) | (v9 = e2 & op(e1, e3) = e2)
% 239.52/41.07 | (v3 = e2 & op(e0, e3) = e2)) & ((v15 = e1 & op(e3, e3) = e1) | (v14 = e1
% 239.52/41.07 & op(e3, e2) = e1) | (v11 = e1 & op(e3, e1) = e1) | (v6 = e1 & op(e3,
% 239.52/41.07 e0) = e1)) & ((v15 = e1 & op(e3, e3) = e1) | (v13 = e1 & op(e2, e3) =
% 239.52/41.07 e1) | (v9 = e1 & op(e1, e3) = e1) | (v3 = e1 & op(e0, e3) = e1)) & ((v15
% 239.52/41.07 = e0 & op(e3, e3) = e0) | (v14 = e0 & op(e3, e2) = e0) | (v11 = e0 &
% 239.52/41.07 op(e3, e1) = e0) | (v6 = e0 & op(e3, e0) = e0)) & ((v15 = e0 & op(e3,
% 239.52/41.07 e3) = e0) | (v13 = e0 & op(e2, e3) = e0) | (v9 = e0 & op(e1, e3) = e0)
% 239.52/41.07 | (v3 = e0 & op(e0, e3) = e0)) & ((v14 = e3 & op(e3, e2) = e3) | (v12 = e3
% 239.52/41.07 & op(e2, e2) = e3) | (v8 = e3 & op(e1, e2) = e3) | (v2 = e3 & op(e0, e2)
% 239.52/41.07 = e3)) & ((v14 = e2 & op(e3, e2) = e2) | (v12 = e2 & op(e2, e2) = e2) |
% 239.52/41.07 (v8 = e2 & op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & ((v14 = e1 &
% 239.52/41.07 op(e3, e2) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v8 = e1 & op(e1, e2)
% 239.52/41.07 = e1) | (v2 = e1 & op(e0, e2) = e1)) & ((v14 = e0 & op(e3, e2) = e0) |
% 239.52/41.07 (v12 = e0 & op(e2, e2) = e0) | (v8 = e0 & op(e1, e2) = e0) | (v2 = e0 &
% 239.52/41.07 op(e0, e2) = e0)) & ((v13 = e3 & op(e2, e3) = e3) | (v12 = e3 & op(e2,
% 239.52/41.07 e2) = e3) | (v10 = e3 & op(e2, e1) = e3) | (v5 = e3 & op(e2, e0) =
% 239.52/41.07 e3)) & ((v13 = e2 & op(e2, e3) = e2) | (v12 = e2 & op(e2, e2) = e2) |
% 239.52/41.07 (v10 = e2 & op(e2, e1) = e2) | (v5 = e2 & op(e2, e0) = e2)) & ((v13 = e1 &
% 239.52/41.07 op(e2, e3) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v10 = e1 & op(e2, e1)
% 239.52/41.07 = e1) | (v5 = e1 & op(e2, e0) = e1)) & ((v13 = e0 & op(e2, e3) = e0) |
% 239.52/41.07 (v12 = e0 & op(e2, e2) = e0) | (v10 = e0 & op(e2, e1) = e0) | (v5 = e0 &
% 239.52/41.07 op(e2, e0) = e0)) & ((v11 = e3 & op(e3, e1) = e3) | (v10 = e3 & op(e2,
% 239.52/41.07 e1) = e3) | (v7 = e3 & op(e1, e1) = e3) | (v1 = e3 & op(e0, e1) = e3))
% 239.52/41.07 & ((v11 = e2 & op(e3, e1) = e2) | (v10 = e2 & op(e2, e1) = e2) | (v7 = e2 &
% 239.52/41.07 op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v11 = e1 & op(e3,
% 239.52/41.07 e1) = e1) | (v10 = e1 & op(e2, e1) = e1) | (v7 = e1 & op(e1, e1) = e1)
% 239.52/41.07 | (v1 = e1 & op(e0, e1) = e1)) & ((v11 = e0 & op(e3, e1) = e0) | (v10 = e0
% 239.52/41.07 & op(e2, e1) = e0) | (v7 = e0 & op(e1, e1) = e0) | (v1 = e0 & op(e0, e1)
% 239.52/41.07 = e0)) & ((v9 = e3 & op(e1, e3) = e3) | (v8 = e3 & op(e1, e2) = e3) |
% 239.52/41.07 (v7 = e3 & op(e1, e1) = e3) | (v4 = e3 & op(e1, e0) = e3)) & ((v9 = e2 &
% 239.52/41.07 op(e1, e3) = e2) | (v8 = e2 & op(e1, e2) = e2) | (v7 = e2 & op(e1, e1) =
% 239.52/41.07 e2) | (v4 = e2 & op(e1, e0) = e2)) & ((v9 = e1 & op(e1, e3) = e1) | (v8
% 239.52/41.07 = e1 & op(e1, e2) = e1) | (v7 = e1 & op(e1, e1) = e1) | (v4 = e1 &
% 239.52/41.07 op(e1, e0) = e1)) & ((v9 = e0 & op(e1, e3) = e0) | (v8 = e0 & op(e1, e2)
% 239.52/41.07 = e0) | (v7 = e0 & op(e1, e1) = e0) | (v4 = e0 & op(e1, e0) = e0)) &
% 239.52/41.07 ((v6 = e3 & op(e3, e0) = e3) | (v5 = e3 & op(e2, e0) = e3) | (v4 = e3 &
% 239.52/41.07 op(e1, e0) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v6 = e2 & op(e3, e0)
% 239.52/41.07 = e2) | (v5 = e2 & op(e2, e0) = e2) | (v4 = e2 & op(e1, e0) = e2) | (v0
% 239.52/41.07 = e2 & op(e0, e0) = e2)) & ((v6 = e1 & op(e3, e0) = e1) | (v5 = e1 &
% 239.52/41.07 op(e2, e0) = e1) | (v4 = e1 & op(e1, e0) = e1) | (v0 = e1 & op(e0, e0) =
% 239.52/41.07 e1)) & ((v3 = e3 & op(e0, e3) = e3) | (v2 = e3 & op(e0, e2) = e3) | (v1
% 239.52/41.07 = e3 & op(e0, e1) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v3 = e2 &
% 239.52/41.07 op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = e2) | (v1 = e2 & op(e0, e1) =
% 239.52/41.07 e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v3 = e1 & op(e0, e3) = e1) | (v2
% 239.52/41.07 = e1 & op(e0, e2) = e1) | (v1 = e1 & op(e0, e1) = e1) | (v0 = e1 &
% 239.52/41.07 op(e0, e0) = e1)) & ((v0 = e0 & op(e0, e0) = e0) | (((v6 = e0 & op(e3,
% 239.52/41.07 e0) = e0) | (v5 = e0 & op(e2, e0) = e0) | (v4 = e0 & op(e1, e0) =
% 239.52/41.07 e0)) & ((v3 = e0 & op(e0, e3) = e0) | (v2 = e0 & op(e0, e2) = e0) |
% 239.52/41.07 (v1 = e0 & op(e0, e1) = e0)))))
% 239.52/41.07
% 239.52/41.07 (ax20)
% 239.52/41.08 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 239.52/41.08 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(v1, v1) = v2 &
% 239.52/41.08 op(e0, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e0, e1) = v1 &
% 239.52/41.08 $i(v1))))
% 239.52/41.08
% 239.52/41.08 (ax21)
% 239.96/41.08 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 239.96/41.08 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(v1, v1) = v2 &
% 239.96/41.08 op(e3, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e3, e1) = v1 &
% 239.96/41.08 $i(v1))))
% 239.96/41.08
% 239.96/41.08 (ax22)
% 239.96/41.08 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 239.96/41.08 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(v1, v1) = v2 &
% 239.96/41.08 op(e0, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e0, e3) = v1 &
% 239.96/41.08 $i(v1))))
% 239.96/41.08
% 239.96/41.08 (ax23)
% 239.96/41.08 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 239.96/41.08 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(v1, v1) = v2 &
% 239.96/41.08 op(e1, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e1, e3) = v1 &
% 239.96/41.08 $i(v1))))
% 239.96/41.08
% 239.96/41.08 (ax24)
% 239.96/41.08 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 239.96/41.08 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(v1, v1) = v2 &
% 239.96/41.08 op(e1, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e1, e0) = v1 &
% 239.96/41.08 $i(v1))))
% 239.96/41.08
% 239.96/41.08 (ax25)
% 239.96/41.08 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 239.96/41.08 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(v1, v1) = v2 &
% 239.96/41.08 op(e2, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e2, e0) = v1 &
% 239.96/41.08 $i(v1))))
% 239.96/41.08
% 239.96/41.08 (ax26)
% 239.96/41.08 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 239.96/41.08 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(v1, v1) = v2 &
% 239.96/41.08 op(e0, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e0, e1) = v1 &
% 239.96/41.08 $i(v1))))
% 239.96/41.08
% 239.96/41.08 (ax27)
% 239.96/41.09 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 239.96/41.09 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(v1, v1) = v2 &
% 239.96/41.09 op(e2, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e2, e1) = v1 &
% 239.96/41.09 $i(v1))))
% 239.96/41.09
% 239.96/41.09 (ax28)
% 239.96/41.09 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 239.96/41.09 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(v1, v1) = v2 &
% 239.96/41.09 op(e0, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e0, e2) = v1 &
% 239.96/41.09 $i(v1))))
% 239.96/41.09
% 239.96/41.09 (ax29)
% 239.96/41.09 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 239.96/41.09 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(v1, v1) = v2 &
% 239.96/41.09 op(e1, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e1, e2) = v1 &
% 239.96/41.09 $i(v1))))
% 239.96/41.09
% 239.96/41.09 (ax3)
% 240.03/41.09 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.03/41.09 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 240.03/41.09 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 240.03/41.09 $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~
% 240.03/41.09 (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 240.03/41.09 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 240.03/41.09 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 240.03/41.09 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 240.03/41.09 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 240.03/41.09 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 240.03/41.09 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 240.03/41.09 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 240.03/41.09 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 240.03/41.09 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) =
% 240.03/41.09 v11 & op(e3, e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) =
% 240.03/41.09 v10 & op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) = v9
% 240.03/41.09 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0, e2) = v8 &
% 240.03/41.09 op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 240.03/41.09 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 240.03/41.09 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 240.03/41.09
% 240.03/41.09 (ax4)
% 240.03/41.10 ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~
% 240.03/41.10 (e1 = e0) & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 240.03/41.10
% 240.03/41.10 (ax5)
% 240.17/41.12 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.17/41.12 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 240.17/41.12 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 240.17/41.12 $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18:
% 240.17/41.12 $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23:
% 240.17/41.12 $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 240.17/41.12 $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (((v31 = e3 & v30 = e2 &
% 240.17/41.12 v29 = e1 & v28 = e0 & op(e3, v12) = e2 & op(e3, v9) = e1 & op(e3, v6) =
% 240.17/41.12 e0 & op(e3, v5) = e3 & op(e3, e3) = v5 & op(e3, e2) = v12 & op(e3, e1) =
% 240.17/41.12 v9 & op(e3, e0) = v6 & $i(v12) & $i(v9) & $i(v6) & $i(v5) & ((v3 = e3 &
% 240.17/41.12 op(e2, e2) = e3) | ( ~ (v15 = e2) & op(e2, e3) = v15 & $i(v15))) &
% 240.17/41.12 ((v1 = e3 & op(e1, e1) = e3) | ( ~ (v14 = e1) & op(e1, e3) = v14 &
% 240.17/41.12 $i(v14))) & ((v0 = e3 & op(e0, e0) = e3) | ( ~ (v13 = e0) & op(e0,
% 240.17/41.12 e3) = v13 & $i(v13)))) | (v27 = e3 & v26 = e2 & v25 = e1 & v24 =
% 240.17/41.12 e0 & op(e2, v15) = e3 & op(e2, v8) = e1 & op(e2, v4) = e0 & op(e2, v3) =
% 240.17/41.12 e2 & op(e2, e3) = v15 & op(e2, e2) = v3 & op(e2, e1) = v8 & op(e2, e0) =
% 240.17/41.12 v4 & $i(v15) & $i(v8) & $i(v4) & $i(v3) & ((v5 = e2 & op(e3, e3) = e2) |
% 240.17/41.12 ( ~ (v12 = e3) & op(e3, e2) = v12 & $i(v12))) & ((v1 = e2 & op(e1, e1)
% 240.17/41.12 = e2) | ( ~ (v11 = e1) & op(e1, e2) = v11 & $i(v11))) & ((v0 = e2 &
% 240.17/41.12 op(e0, e0) = e2) | ( ~ (v10 = e0) & op(e0, e2) = v10 & $i(v10)))) |
% 240.17/41.12 (v23 = e3 & v22 = e2 & v21 = e1 & v20 = e0 & op(e1, v14) = e3 & op(e1,
% 240.17/41.12 v11) = e2 & op(e1, v2) = e0 & op(e1, v1) = e1 & op(e1, e3) = v14 &
% 240.17/41.12 op(e1, e2) = v11 & op(e1, e1) = v1 & op(e1, e0) = v2 & $i(v14) & $i(v11)
% 240.17/41.12 & $i(v2) & $i(v1) & ((v5 = e1 & op(e3, e3) = e1) | ( ~ (v9 = e3) &
% 240.17/41.12 op(e3, e1) = v9 & $i(v9))) & ((v3 = e1 & op(e2, e2) = e1) | ( ~ (v8
% 240.17/41.12 = e2) & op(e2, e1) = v8 & $i(v8))) & ((v0 = e1 & op(e0, e0) = e1)
% 240.17/41.12 | ( ~ (v7 = e0) & op(e0, e1) = v7 & $i(v7)))) | (v19 = e3 & v18 = e2 &
% 240.17/41.12 v17 = e1 & v16 = e0 & op(e0, v13) = e3 & op(e0, v10) = e2 & op(e0, v7) =
% 240.17/41.12 e1 & op(e0, v0) = e0 & op(e0, e3) = v13 & op(e0, e2) = v10 & op(e0, e1)
% 240.17/41.12 = v7 & op(e0, e0) = v0 & $i(v13) & $i(v10) & $i(v7) & $i(v0) & ((v5 = e0
% 240.17/41.12 & op(e3, e3) = e0) | ( ~ (v6 = e3) & op(e3, e0) = v6 & $i(v6))) &
% 240.17/41.12 ((v3 = e0 & op(e2, e2) = e0) | ( ~ (v4 = e2) & op(e2, e0) = v4 &
% 240.17/41.12 $i(v4))) & ((v1 = e0 & op(e1, e1) = e0) | ( ~ (v2 = e1) & op(e1, e0)
% 240.17/41.12 = v2 & $i(v2))))) & ((v15 = e2 & v1 = e3 & ~ (v14 = e1) & ~ (v3 =
% 240.17/41.12 e3) & op(e2, e3) = e2 & op(e2, e2) = v3 & op(e1, e3) = v14 & op(e1,
% 240.17/41.12 e1) = e3 & $i(v14) & $i(v3)) | (v15 = e2 & v0 = e3 & ~ (v13 = e0) &
% 240.17/41.12 ~ (v3 = e3) & op(e2, e3) = e2 & op(e2, e2) = v3 & op(e0, e3) = v13 &
% 240.17/41.12 op(e0, e0) = e3 & $i(v13) & $i(v3)) | (v14 = e1 & v3 = e3 & ~ (v15 =
% 240.17/41.12 e2) & ~ (v1 = e3) & op(e2, e3) = v15 & op(e2, e2) = e3 & op(e1, e3) =
% 240.17/41.12 e1 & op(e1, e1) = v1 & $i(v15) & $i(v1)) | (v14 = e1 & v0 = e3 & ~ (v13
% 240.17/41.12 = e0) & ~ (v1 = e3) & op(e1, e3) = e1 & op(e1, e1) = v1 & op(e0, e3)
% 240.17/41.12 = v13 & op(e0, e0) = e3 & $i(v13) & $i(v1)) | (v12 = e3 & v1 = e2 & ~
% 240.17/41.12 (v11 = e1) & ~ (v5 = e2) & op(e3, e3) = v5 & op(e3, e2) = e3 & op(e1,
% 240.17/41.12 e2) = v11 & op(e1, e1) = e2 & $i(v11) & $i(v5)) | (v12 = e3 & v0 = e2
% 240.17/41.12 & ~ (v10 = e0) & ~ (v5 = e2) & op(e3, e3) = v5 & op(e3, e2) = e3 &
% 240.17/41.12 op(e0, e2) = v10 & op(e0, e0) = e2 & $i(v10) & $i(v5)) | (v11 = e1 & v5
% 240.17/41.12 = e2 & ~ (v12 = e3) & ~ (v1 = e2) & op(e3, e3) = e2 & op(e3, e2) = v12
% 240.17/41.12 & op(e1, e2) = e1 & op(e1, e1) = v1 & $i(v12) & $i(v1)) | (v11 = e1 & v0
% 240.17/41.12 = e2 & ~ (v10 = e0) & ~ (v1 = e2) & op(e1, e2) = e1 & op(e1, e1) = v1
% 240.17/41.12 & op(e0, e2) = v10 & op(e0, e0) = e2 & $i(v10) & $i(v1)) | (v9 = e3 & v3
% 240.17/41.12 = e1 & ~ (v8 = e2) & ~ (v5 = e1) & op(e3, e3) = v5 & op(e3, e1) = e3 &
% 240.17/41.12 op(e2, e2) = e1 & op(e2, e1) = v8 & $i(v8) & $i(v5)) | (v9 = e3 & v0 =
% 240.17/41.12 e1 & ~ (v7 = e0) & ~ (v5 = e1) & op(e3, e3) = v5 & op(e3, e1) = e3 &
% 240.17/41.12 op(e0, e1) = v7 & op(e0, e0) = e1 & $i(v7) & $i(v5)) | (v8 = e2 & v5 =
% 240.17/41.12 e1 & ~ (v9 = e3) & ~ (v3 = e1) & op(e3, e3) = e1 & op(e3, e1) = v9 &
% 240.17/41.12 op(e2, e2) = v3 & op(e2, e1) = e2 & $i(v9) & $i(v3)) | (v8 = e2 & v0 =
% 240.17/41.12 e1 & ~ (v7 = e0) & ~ (v3 = e1) & op(e2, e2) = v3 & op(e2, e1) = e2 &
% 240.17/41.12 op(e0, e1) = v7 & op(e0, e0) = e1 & $i(v7) & $i(v3)) | (v6 = e3 & v3 =
% 240.17/41.12 e0 & ~ (v5 = e0) & ~ (v4 = e2) & op(e3, e3) = v5 & op(e3, e0) = e3 &
% 240.17/41.12 op(e2, e2) = e0 & op(e2, e0) = v4 & $i(v5) & $i(v4)) | (v6 = e3 & v1 =
% 240.17/41.12 e0 & ~ (v5 = e0) & ~ (v2 = e1) & op(e3, e3) = v5 & op(e3, e0) = e3 &
% 240.17/41.12 op(e1, e1) = e0 & op(e1, e0) = v2 & $i(v5) & $i(v2)) | (v5 = e0 & v4 =
% 240.17/41.12 e2 & ~ (v6 = e3) & ~ (v3 = e0) & op(e3, e3) = e0 & op(e3, e0) = v6 &
% 240.17/41.12 op(e2, e2) = v3 & op(e2, e0) = e2 & $i(v6) & $i(v3)) | (v5 = e0 & v2 =
% 240.17/41.12 e1 & ~ (v6 = e3) & ~ (v1 = e0) & op(e3, e3) = e0 & op(e3, e0) = v6 &
% 240.17/41.12 op(e1, e1) = v1 & op(e1, e0) = e1 & $i(v6) & $i(v1)) | (v4 = e2 & v1 =
% 240.17/41.12 e0 & ~ (v3 = e0) & ~ (v2 = e1) & op(e2, e2) = v3 & op(e2, e0) = e2 &
% 240.17/41.12 op(e1, e1) = e0 & op(e1, e0) = v2 & $i(v3) & $i(v2)) | (v3 = e0 & v2 =
% 240.17/41.12 e1 & ~ (v4 = e2) & ~ (v1 = e0) & op(e2, e2) = e0 & op(e2, e0) = v4 &
% 240.17/41.12 op(e1, e1) = v1 & op(e1, e0) = e1 & $i(v4) & $i(v1)) | (op(e0, e0) = v0
% 240.17/41.12 & $i(v0) & ((v13 = e0 & v3 = e3 & ~ (v15 = e2) & ~ (v0 = e3) & op(e2,
% 240.17/41.12 e3) = v15 & op(e2, e2) = e3 & op(e0, e3) = e0 & $i(v15)) | (v13 =
% 240.17/41.12 e0 & v1 = e3 & ~ (v14 = e1) & ~ (v0 = e3) & op(e1, e3) = v14 &
% 240.17/41.12 op(e1, e1) = e3 & op(e0, e3) = e0 & $i(v14)) | (v10 = e0 & v5 = e2 &
% 240.17/41.12 ~ (v12 = e3) & ~ (v0 = e2) & op(e3, e3) = e2 & op(e3, e2) = v12 &
% 240.17/41.12 op(e0, e2) = e0 & $i(v12)) | (v10 = e0 & v1 = e2 & ~ (v11 = e1) &
% 240.17/41.12 ~ (v0 = e2) & op(e1, e2) = v11 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 240.17/41.12 $i(v11)) | (v7 = e0 & v5 = e1 & ~ (v9 = e3) & ~ (v0 = e1) & op(e3,
% 240.17/41.12 e3) = e1 & op(e3, e1) = v9 & op(e0, e1) = e0 & $i(v9)) | (v7 = e0
% 240.17/41.12 & v3 = e1 & ~ (v8 = e2) & ~ (v0 = e1) & op(e2, e2) = e1 & op(e2,
% 240.17/41.12 e1) = v8 & op(e0, e1) = e0 & $i(v8))))))
% 240.17/41.12
% 240.17/41.12 (ax6)
% 240.17/41.12 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.17/41.12 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(v1, v1) = v2 &
% 240.17/41.12 op(e2, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e2, e1) = v1 &
% 240.17/41.12 $i(v1))))
% 240.17/41.12
% 240.17/41.12 (ax7)
% 240.17/41.12 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.17/41.12 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(v1, v1) = v2 &
% 240.17/41.12 op(e3, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e3, e1) = v1 &
% 240.17/41.12 $i(v1))))
% 240.17/41.12
% 240.17/41.12 (ax8)
% 240.17/41.12 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.17/41.12 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(v1, v1) = v2 &
% 240.17/41.12 op(e1, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e1, e2) = v1 &
% 240.17/41.13 $i(v1))))
% 240.17/41.13
% 240.17/41.13 (ax9)
% 240.17/41.13 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.17/41.13 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(v1, v1) = v2 &
% 240.17/41.13 op(e3, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e3, e2) = v1 &
% 240.17/41.13 $i(v1))))
% 240.17/41.13
% 240.17/41.13 (function-axioms)
% 240.17/41.13 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3,
% 240.17/41.13 v2) = v1) | ~ (op(v3, v2) = v0))
% 240.17/41.13
% 240.17/41.13 Those formulas are unsatisfiable:
% 240.17/41.13 ---------------------------------
% 240.17/41.13
% 240.17/41.13 Begin of proof
% 240.17/41.13 |
% 240.17/41.13 | ALPHA: (ax1) implies:
% 240.17/41.14 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 240.17/41.14 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 240.17/41.14 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 240.17/41.14 | ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13
% 240.17/41.14 | & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 & op(e2, e1)
% 240.17/41.14 | = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 & op(e1,
% 240.17/41.14 | e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 240.17/41.14 | op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) &
% 240.17/41.14 | $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 240.17/41.14 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15
% 240.17/41.14 | = e2 | v15 = e1 | v15 = e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14
% 240.17/41.14 | = e0) & (v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e3 |
% 240.17/41.14 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e3 | v11 = e2 | v11 = e1 |
% 240.17/41.14 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) & (v9 = e3
% 240.17/41.14 | | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 | v8 = e1 | v8
% 240.17/41.14 | = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 | v6 =
% 240.17/41.14 | e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 240.17/41.14 | (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 =
% 240.17/41.14 | e1 | v3 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3
% 240.17/41.14 | | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0
% 240.17/41.14 | = e0))
% 240.17/41.14 |
% 240.17/41.14 | ALPHA: (ax2) implies:
% 240.17/41.15 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 240.17/41.15 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 240.17/41.15 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 240.17/41.15 | ? [v15: $i] : (((v15 = e3 & op(e3, e3) = e3) | (v14 = e3 & op(e3, e2)
% 240.17/41.15 | = e3) | (v11 = e3 & op(e3, e1) = e3) | (v6 = e3 & op(e3, e0) =
% 240.17/41.15 | e3)) & ((v15 = e3 & op(e3, e3) = e3) | (v13 = e3 & op(e2, e3) =
% 240.17/41.15 | e3) | (v9 = e3 & op(e1, e3) = e3) | (v3 = e3 & op(e0, e3) = e3))
% 240.17/41.15 | & ((v15 = e2 & op(e3, e3) = e2) | (v14 = e2 & op(e3, e2) = e2) | (v11
% 240.17/41.15 | = e2 & op(e3, e1) = e2) | (v6 = e2 & op(e3, e0) = e2)) & ((v15 =
% 240.17/41.15 | e2 & op(e3, e3) = e2) | (v13 = e2 & op(e2, e3) = e2) | (v9 = e2 &
% 240.17/41.15 | op(e1, e3) = e2) | (v3 = e2 & op(e0, e3) = e2)) & ((v15 = e1 &
% 240.17/41.15 | op(e3, e3) = e1) | (v14 = e1 & op(e3, e2) = e1) | (v11 = e1 &
% 240.17/41.15 | op(e3, e1) = e1) | (v6 = e1 & op(e3, e0) = e1)) & ((v15 = e1 &
% 240.17/41.15 | op(e3, e3) = e1) | (v13 = e1 & op(e2, e3) = e1) | (v9 = e1 &
% 240.17/41.15 | op(e1, e3) = e1) | (v3 = e1 & op(e0, e3) = e1)) & ((v15 = e0 &
% 240.17/41.15 | op(e3, e3) = e0) | (v14 = e0 & op(e3, e2) = e0) | (v11 = e0 &
% 240.17/41.15 | op(e3, e1) = e0) | (v6 = e0 & op(e3, e0) = e0)) & ((v15 = e0 &
% 240.17/41.15 | op(e3, e3) = e0) | (v13 = e0 & op(e2, e3) = e0) | (v9 = e0 &
% 240.17/41.15 | op(e1, e3) = e0) | (v3 = e0 & op(e0, e3) = e0)) & ((v14 = e3 &
% 240.17/41.15 | op(e3, e2) = e3) | (v12 = e3 & op(e2, e2) = e3) | (v8 = e3 &
% 240.17/41.15 | op(e1, e2) = e3) | (v2 = e3 & op(e0, e2) = e3)) & ((v14 = e2 &
% 240.17/41.15 | op(e3, e2) = e2) | (v12 = e2 & op(e2, e2) = e2) | (v8 = e2 &
% 240.17/41.15 | op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & ((v14 = e1 &
% 240.17/41.15 | op(e3, e2) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v8 = e1 &
% 240.17/41.15 | op(e1, e2) = e1) | (v2 = e1 & op(e0, e2) = e1)) & ((v14 = e0 &
% 240.17/41.15 | op(e3, e2) = e0) | (v12 = e0 & op(e2, e2) = e0) | (v8 = e0 &
% 240.17/41.15 | op(e1, e2) = e0) | (v2 = e0 & op(e0, e2) = e0)) & ((v13 = e3 &
% 240.17/41.15 | op(e2, e3) = e3) | (v12 = e3 & op(e2, e2) = e3) | (v10 = e3 &
% 240.17/41.15 | op(e2, e1) = e3) | (v5 = e3 & op(e2, e0) = e3)) & ((v13 = e2 &
% 240.17/41.15 | op(e2, e3) = e2) | (v12 = e2 & op(e2, e2) = e2) | (v10 = e2 &
% 240.17/41.15 | op(e2, e1) = e2) | (v5 = e2 & op(e2, e0) = e2)) & ((v13 = e1 &
% 240.17/41.15 | op(e2, e3) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v10 = e1 &
% 240.17/41.15 | op(e2, e1) = e1) | (v5 = e1 & op(e2, e0) = e1)) & ((v13 = e0 &
% 240.17/41.15 | op(e2, e3) = e0) | (v12 = e0 & op(e2, e2) = e0) | (v10 = e0 &
% 240.17/41.15 | op(e2, e1) = e0) | (v5 = e0 & op(e2, e0) = e0)) & ((v11 = e3 &
% 240.17/41.15 | op(e3, e1) = e3) | (v10 = e3 & op(e2, e1) = e3) | (v7 = e3 &
% 240.17/41.15 | op(e1, e1) = e3) | (v1 = e3 & op(e0, e1) = e3)) & ((v11 = e2 &
% 240.17/41.15 | op(e3, e1) = e2) | (v10 = e2 & op(e2, e1) = e2) | (v7 = e2 &
% 240.17/41.15 | op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v11 = e1 &
% 240.17/41.15 | op(e3, e1) = e1) | (v10 = e1 & op(e2, e1) = e1) | (v7 = e1 &
% 240.17/41.15 | op(e1, e1) = e1) | (v1 = e1 & op(e0, e1) = e1)) & ((v11 = e0 &
% 240.17/41.15 | op(e3, e1) = e0) | (v10 = e0 & op(e2, e1) = e0) | (v7 = e0 &
% 240.17/41.15 | op(e1, e1) = e0) | (v1 = e0 & op(e0, e1) = e0)) & ((v9 = e3 &
% 240.17/41.15 | op(e1, e3) = e3) | (v8 = e3 & op(e1, e2) = e3) | (v7 = e3 &
% 240.17/41.15 | op(e1, e1) = e3) | (v4 = e3 & op(e1, e0) = e3)) & ((v9 = e2 &
% 240.17/41.15 | op(e1, e3) = e2) | (v8 = e2 & op(e1, e2) = e2) | (v7 = e2 &
% 240.17/41.15 | op(e1, e1) = e2) | (v4 = e2 & op(e1, e0) = e2)) & ((v9 = e1 &
% 240.17/41.15 | op(e1, e3) = e1) | (v8 = e1 & op(e1, e2) = e1) | (v7 = e1 &
% 240.17/41.15 | op(e1, e1) = e1) | (v4 = e1 & op(e1, e0) = e1)) & ((v9 = e0 &
% 240.17/41.15 | op(e1, e3) = e0) | (v8 = e0 & op(e1, e2) = e0) | (v7 = e0 &
% 240.17/41.15 | op(e1, e1) = e0) | (v4 = e0 & op(e1, e0) = e0)) & ((v6 = e3 &
% 240.17/41.15 | op(e3, e0) = e3) | (v5 = e3 & op(e2, e0) = e3) | (v4 = e3 &
% 240.17/41.15 | op(e1, e0) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v6 = e2 &
% 240.17/41.15 | op(e3, e0) = e2) | (v5 = e2 & op(e2, e0) = e2) | (v4 = e2 &
% 240.17/41.15 | op(e1, e0) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v6 = e1 &
% 240.17/41.16 | op(e3, e0) = e1) | (v5 = e1 & op(e2, e0) = e1) | (v4 = e1 &
% 240.17/41.16 | op(e1, e0) = e1) | (v0 = e1 & op(e0, e0) = e1)) & ((v3 = e3 &
% 240.17/41.16 | op(e0, e3) = e3) | (v2 = e3 & op(e0, e2) = e3) | (v1 = e3 &
% 240.17/41.16 | op(e0, e1) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v3 = e2 &
% 240.17/41.16 | op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = e2) | (v1 = e2 &
% 240.17/41.16 | op(e0, e1) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v3 = e1 &
% 240.17/41.16 | op(e0, e3) = e1) | (v2 = e1 & op(e0, e2) = e1) | (v1 = e1 &
% 240.17/41.16 | op(e0, e1) = e1) | (v0 = e1 & op(e0, e0) = e1)) & ((v0 = e0 &
% 240.17/41.16 | op(e0, e0) = e0) | (((v6 = e0 & op(e3, e0) = e0) | (v5 = e0 &
% 240.17/41.16 | op(e2, e0) = e0) | (v4 = e0 & op(e1, e0) = e0)) & ((v3 = e0 &
% 240.17/41.16 | op(e0, e3) = e0) | (v2 = e0 & op(e0, e2) = e0) | (v1 = e0 &
% 240.17/41.16 | op(e0, e1) = e0)))))
% 240.17/41.16 |
% 240.17/41.16 | ALPHA: (ax3) implies:
% 240.17/41.16 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 240.17/41.16 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 240.17/41.16 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 240.17/41.16 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~
% 240.17/41.16 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~
% 240.17/41.16 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~
% 240.17/41.16 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12
% 240.17/41.16 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 =
% 240.17/41.16 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9)
% 240.17/41.16 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~
% 240.17/41.16 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6)
% 240.17/41.16 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6
% 240.17/41.16 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) &
% 240.17/41.16 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 240.17/41.16 | v0) & ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) = v11 & op(e3,
% 240.17/41.16 | e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) = v10 &
% 240.17/41.16 | op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) =
% 240.17/41.16 | v9 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0,
% 240.17/41.16 | e2) = v8 & op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) &
% 240.17/41.16 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 240.17/41.16 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 240.17/41.16 |
% 240.17/41.16 | ALPHA: (ax4) implies:
% 240.17/41.16 | (4) ~ (e1 = e0)
% 240.17/41.16 | (5) ~ (e2 = e0)
% 240.17/41.16 | (6) ~ (e2 = e1)
% 240.17/41.16 | (7) ~ (e3 = e0)
% 240.17/41.16 | (8) ~ (e3 = e1)
% 240.17/41.16 | (9) ~ (e3 = e2)
% 240.17/41.16 |
% 240.17/41.16 | ALPHA: (ax5) implies:
% 240.17/41.18 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 240.17/41.18 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 240.17/41.18 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 240.17/41.18 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 240.17/41.18 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 240.17/41.18 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 240.17/41.18 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (((v31 = e3 & v30
% 240.17/41.18 | = e2 & v29 = e1 & v28 = e0 & op(e3, v12) = e2 & op(e3, v9) = e1
% 240.17/41.18 | & op(e3, v6) = e0 & op(e3, v5) = e3 & op(e3, e3) = v5 & op(e3,
% 240.17/41.18 | e2) = v12 & op(e3, e1) = v9 & op(e3, e0) = v6 & $i(v12) &
% 240.17/41.18 | $i(v9) & $i(v6) & $i(v5) & ((v3 = e3 & op(e2, e2) = e3) | ( ~
% 240.17/41.18 | (v15 = e2) & op(e2, e3) = v15 & $i(v15))) & ((v1 = e3 &
% 240.17/41.18 | op(e1, e1) = e3) | ( ~ (v14 = e1) & op(e1, e3) = v14 &
% 240.17/41.18 | $i(v14))) & ((v0 = e3 & op(e0, e0) = e3) | ( ~ (v13 = e0) &
% 240.17/41.18 | op(e0, e3) = v13 & $i(v13)))) | (v27 = e3 & v26 = e2 & v25 =
% 240.17/41.18 | e1 & v24 = e0 & op(e2, v15) = e3 & op(e2, v8) = e1 & op(e2, v4)
% 240.17/41.18 | = e0 & op(e2, v3) = e2 & op(e2, e3) = v15 & op(e2, e2) = v3 &
% 240.17/41.18 | op(e2, e1) = v8 & op(e2, e0) = v4 & $i(v15) & $i(v8) & $i(v4) &
% 240.17/41.18 | $i(v3) & ((v5 = e2 & op(e3, e3) = e2) | ( ~ (v12 = e3) & op(e3,
% 240.17/41.18 | e2) = v12 & $i(v12))) & ((v1 = e2 & op(e1, e1) = e2) | ( ~
% 240.17/41.18 | (v11 = e1) & op(e1, e2) = v11 & $i(v11))) & ((v0 = e2 &
% 240.17/41.18 | op(e0, e0) = e2) | ( ~ (v10 = e0) & op(e0, e2) = v10 &
% 240.17/41.18 | $i(v10)))) | (v23 = e3 & v22 = e2 & v21 = e1 & v20 = e0 &
% 240.17/41.18 | op(e1, v14) = e3 & op(e1, v11) = e2 & op(e1, v2) = e0 & op(e1,
% 240.17/41.18 | v1) = e1 & op(e1, e3) = v14 & op(e1, e2) = v11 & op(e1, e1) =
% 240.17/41.18 | v1 & op(e1, e0) = v2 & $i(v14) & $i(v11) & $i(v2) & $i(v1) &
% 240.17/41.18 | ((v5 = e1 & op(e3, e3) = e1) | ( ~ (v9 = e3) & op(e3, e1) = v9 &
% 240.17/41.18 | $i(v9))) & ((v3 = e1 & op(e2, e2) = e1) | ( ~ (v8 = e2) &
% 240.17/41.18 | op(e2, e1) = v8 & $i(v8))) & ((v0 = e1 & op(e0, e0) = e1) |
% 240.17/41.18 | ( ~ (v7 = e0) & op(e0, e1) = v7 & $i(v7)))) | (v19 = e3 & v18
% 240.17/41.18 | = e2 & v17 = e1 & v16 = e0 & op(e0, v13) = e3 & op(e0, v10) = e2
% 240.17/41.18 | & op(e0, v7) = e1 & op(e0, v0) = e0 & op(e0, e3) = v13 & op(e0,
% 240.17/41.18 | e2) = v10 & op(e0, e1) = v7 & op(e0, e0) = v0 & $i(v13) &
% 240.17/41.18 | $i(v10) & $i(v7) & $i(v0) & ((v5 = e0 & op(e3, e3) = e0) | ( ~
% 240.17/41.18 | (v6 = e3) & op(e3, e0) = v6 & $i(v6))) & ((v3 = e0 & op(e2,
% 240.17/41.18 | e2) = e0) | ( ~ (v4 = e2) & op(e2, e0) = v4 & $i(v4))) &
% 240.17/41.18 | ((v1 = e0 & op(e1, e1) = e0) | ( ~ (v2 = e1) & op(e1, e0) = v2 &
% 240.17/41.18 | $i(v2))))) & ((v15 = e2 & v1 = e3 & ~ (v14 = e1) & ~ (v3 =
% 240.17/41.18 | e3) & op(e2, e3) = e2 & op(e2, e2) = v3 & op(e1, e3) = v14 &
% 240.17/41.18 | op(e1, e1) = e3 & $i(v14) & $i(v3)) | (v15 = e2 & v0 = e3 & ~
% 240.17/41.18 | (v13 = e0) & ~ (v3 = e3) & op(e2, e3) = e2 & op(e2, e2) = v3 &
% 240.17/41.18 | op(e0, e3) = v13 & op(e0, e0) = e3 & $i(v13) & $i(v3)) | (v14 =
% 240.17/41.18 | e1 & v3 = e3 & ~ (v15 = e2) & ~ (v1 = e3) & op(e2, e3) = v15 &
% 240.17/41.18 | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) = v1 & $i(v15) &
% 240.17/41.18 | $i(v1)) | (v14 = e1 & v0 = e3 & ~ (v13 = e0) & ~ (v1 = e3) &
% 240.17/41.18 | op(e1, e3) = e1 & op(e1, e1) = v1 & op(e0, e3) = v13 & op(e0,
% 240.17/41.18 | e0) = e3 & $i(v13) & $i(v1)) | (v12 = e3 & v1 = e2 & ~ (v11 =
% 240.17/41.18 | e1) & ~ (v5 = e2) & op(e3, e3) = v5 & op(e3, e2) = e3 &
% 240.17/41.18 | op(e1, e2) = v11 & op(e1, e1) = e2 & $i(v11) & $i(v5)) | (v12 =
% 240.17/41.18 | e3 & v0 = e2 & ~ (v10 = e0) & ~ (v5 = e2) & op(e3, e3) = v5 &
% 240.17/41.18 | op(e3, e2) = e3 & op(e0, e2) = v10 & op(e0, e0) = e2 & $i(v10) &
% 240.17/41.18 | $i(v5)) | (v11 = e1 & v5 = e2 & ~ (v12 = e3) & ~ (v1 = e2) &
% 240.17/41.18 | op(e3, e3) = e2 & op(e3, e2) = v12 & op(e1, e2) = e1 & op(e1,
% 240.17/41.18 | e1) = v1 & $i(v12) & $i(v1)) | (v11 = e1 & v0 = e2 & ~ (v10 =
% 240.17/41.18 | e0) & ~ (v1 = e2) & op(e1, e2) = e1 & op(e1, e1) = v1 &
% 240.17/41.18 | op(e0, e2) = v10 & op(e0, e0) = e2 & $i(v10) & $i(v1)) | (v9 =
% 240.17/41.18 | e3 & v3 = e1 & ~ (v8 = e2) & ~ (v5 = e1) & op(e3, e3) = v5 &
% 240.17/41.18 | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = v8 & $i(v8) &
% 240.17/41.18 | $i(v5)) | (v9 = e3 & v0 = e1 & ~ (v7 = e0) & ~ (v5 = e1) &
% 240.17/41.18 | op(e3, e3) = v5 & op(e3, e1) = e3 & op(e0, e1) = v7 & op(e0, e0)
% 240.17/41.18 | = e1 & $i(v7) & $i(v5)) | (v8 = e2 & v5 = e1 & ~ (v9 = e3) & ~
% 240.17/41.18 | (v3 = e1) & op(e3, e3) = e1 & op(e3, e1) = v9 & op(e2, e2) = v3
% 240.17/41.18 | & op(e2, e1) = e2 & $i(v9) & $i(v3)) | (v8 = e2 & v0 = e1 & ~
% 240.17/41.18 | (v7 = e0) & ~ (v3 = e1) & op(e2, e2) = v3 & op(e2, e1) = e2 &
% 240.17/41.18 | op(e0, e1) = v7 & op(e0, e0) = e1 & $i(v7) & $i(v3)) | (v6 = e3
% 240.17/41.18 | & v3 = e0 & ~ (v5 = e0) & ~ (v4 = e2) & op(e3, e3) = v5 &
% 240.17/41.18 | op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = v4 & $i(v5) &
% 240.17/41.18 | $i(v4)) | (v6 = e3 & v1 = e0 & ~ (v5 = e0) & ~ (v2 = e1) &
% 240.17/41.18 | op(e3, e3) = v5 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0)
% 240.17/41.18 | = v2 & $i(v5) & $i(v2)) | (v5 = e0 & v4 = e2 & ~ (v6 = e3) & ~
% 240.17/41.18 | (v3 = e0) & op(e3, e3) = e0 & op(e3, e0) = v6 & op(e2, e2) = v3
% 240.17/41.18 | & op(e2, e0) = e2 & $i(v6) & $i(v3)) | (v5 = e0 & v2 = e1 & ~
% 240.17/41.18 | (v6 = e3) & ~ (v1 = e0) & op(e3, e3) = e0 & op(e3, e0) = v6 &
% 240.17/41.18 | op(e1, e1) = v1 & op(e1, e0) = e1 & $i(v6) & $i(v1)) | (v4 = e2
% 240.17/41.18 | & v1 = e0 & ~ (v3 = e0) & ~ (v2 = e1) & op(e2, e2) = v3 &
% 240.17/41.18 | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = v2 & $i(v3) &
% 240.17/41.18 | $i(v2)) | (v3 = e0 & v2 = e1 & ~ (v4 = e2) & ~ (v1 = e0) &
% 240.17/41.18 | op(e2, e2) = e0 & op(e2, e0) = v4 & op(e1, e1) = v1 & op(e1, e0)
% 240.17/41.18 | = e1 & $i(v4) & $i(v1)) | (op(e0, e0) = v0 & $i(v0) & ((v13 = e0
% 240.17/41.18 | & v3 = e3 & ~ (v15 = e2) & ~ (v0 = e3) & op(e2, e3) = v15
% 240.17/41.18 | & op(e2, e2) = e3 & op(e0, e3) = e0 & $i(v15)) | (v13 = e0 &
% 240.17/41.18 | v1 = e3 & ~ (v14 = e1) & ~ (v0 = e3) & op(e1, e3) = v14 &
% 240.17/41.18 | op(e1, e1) = e3 & op(e0, e3) = e0 & $i(v14)) | (v10 = e0 &
% 240.17/41.18 | v5 = e2 & ~ (v12 = e3) & ~ (v0 = e2) & op(e3, e3) = e2 &
% 240.17/41.18 | op(e3, e2) = v12 & op(e0, e2) = e0 & $i(v12)) | (v10 = e0 &
% 240.17/41.18 | v1 = e2 & ~ (v11 = e1) & ~ (v0 = e2) & op(e1, e2) = v11 &
% 240.17/41.18 | op(e1, e1) = e2 & op(e0, e2) = e0 & $i(v11)) | (v7 = e0 & v5
% 240.17/41.18 | = e1 & ~ (v9 = e3) & ~ (v0 = e1) & op(e3, e3) = e1 &
% 240.17/41.18 | op(e3, e1) = v9 & op(e0, e1) = e0 & $i(v9)) | (v7 = e0 & v3
% 240.17/41.18 | = e1 & ~ (v8 = e2) & ~ (v0 = e1) & op(e2, e2) = e1 &
% 240.17/41.18 | op(e2, e1) = v8 & op(e0, e1) = e0 & $i(v8))))))
% 240.17/41.18 |
% 240.17/41.18 | ALPHA: (ax6) implies:
% 240.17/41.18 | (11) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 240.17/41.18 | ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(v1, v1) = v2 & op(e2, e1) = v1 &
% 240.17/41.18 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e2, e1) = v1 & $i(v1))))
% 240.17/41.18 |
% 240.17/41.18 | ALPHA: (ax7) implies:
% 240.17/41.18 | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 240.17/41.18 | ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(v1, v1) = v2 & op(e3, e1) = v1 &
% 240.17/41.18 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e3, e1) = v1 & $i(v1))))
% 240.17/41.18 |
% 240.17/41.18 | ALPHA: (ax8) implies:
% 240.17/41.18 | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 240.17/41.18 | ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(v1, v1) = v2 & op(e1, e2) = v1 &
% 240.17/41.18 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e1, e2) = v1 & $i(v1))))
% 240.17/41.18 |
% 240.17/41.18 | ALPHA: (ax9) implies:
% 240.17/41.18 | (14) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 240.17/41.18 | ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(v1, v1) = v2 & op(e3, e2) = v1 &
% 240.17/41.18 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e3, e2) = v1 & $i(v1))))
% 240.17/41.18 |
% 240.17/41.18 | ALPHA: (ax10) implies:
% 240.17/41.18 | (15) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 240.17/41.18 | ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(v1, v1) = v2 & op(e1, e3) = v1 &
% 240.17/41.18 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e1, e3) = v1 & $i(v1))))
% 240.17/41.18 |
% 240.17/41.18 | ALPHA: (ax11) implies:
% 240.17/41.18 | (16) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 240.17/41.18 | ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(v1, v1) = v2 & op(e2, e3) = v1 &
% 240.17/41.18 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e2, e3) = v1 & $i(v1))))
% 240.17/41.18 |
% 240.17/41.18 | ALPHA: (ax12) implies:
% 240.17/41.18 | (17) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 240.17/41.18 | ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(v1, v1) = v2 & op(e2, e0) = v1 &
% 240.17/41.18 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e2, e0) = v1 & $i(v1))))
% 240.17/41.18 |
% 240.17/41.18 | ALPHA: (ax13) implies:
% 240.17/41.18 | (18) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 240.17/41.18 | ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(v1, v1) = v2 & op(e3, e0) = v1 &
% 240.17/41.18 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e3, e0) = v1 & $i(v1))))
% 240.17/41.18 |
% 240.17/41.18 | ALPHA: (ax14) implies:
% 240.17/41.19 | (19) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 240.17/41.19 | ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(v1, v1) = v2 & op(e0, e2) = v1 &
% 240.17/41.19 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e0, e2) = v1 & $i(v1))))
% 240.17/41.19 |
% 240.17/41.19 | ALPHA: (ax15) implies:
% 240.17/41.19 | (20) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 240.17/41.19 | ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(v1, v1) = v2 & op(e3, e2) = v1 &
% 240.17/41.19 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e3, e2) = v1 & $i(v1))))
% 240.17/41.19 |
% 240.17/41.19 | ALPHA: (ax16) implies:
% 240.17/41.19 | (21) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 240.17/41.19 | ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(v1, v1) = v2 & op(e0, e3) = v1 &
% 240.17/41.19 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e0, e3) = v1 & $i(v1))))
% 240.17/41.19 |
% 240.17/41.19 | ALPHA: (ax17) implies:
% 240.17/41.19 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 240.17/41.19 | ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(v1, v1) = v2 & op(e2, e3) = v1 &
% 240.17/41.19 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e2, e3) = v1 & $i(v1))))
% 240.17/41.19 |
% 240.17/41.19 | ALPHA: (ax18) implies:
% 240.17/41.19 | (23) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 240.17/41.19 | ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(v1, v1) = v2 & op(e1, e0) = v1 &
% 240.17/41.19 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e1, e0) = v1 & $i(v1))))
% 240.17/41.19 |
% 240.17/41.19 | ALPHA: (ax19) implies:
% 240.17/41.19 | (24) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 240.17/41.19 | ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(v1, v1) = v2 & op(e3, e0) = v1 &
% 240.17/41.19 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e3, e0) = v1 & $i(v1))))
% 240.17/41.19 |
% 240.17/41.19 | ALPHA: (ax20) implies:
% 240.17/41.19 | (25) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 240.17/41.19 | ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(v1, v1) = v2 & op(e0, e1) = v1 &
% 240.17/41.19 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e0, e1) = v1 & $i(v1))))
% 240.17/41.19 |
% 240.17/41.19 | ALPHA: (ax21) implies:
% 240.17/41.19 | (26) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 240.17/41.19 | ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(v1, v1) = v2 & op(e3, e1) = v1 &
% 240.17/41.19 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e3, e1) = v1 & $i(v1))))
% 240.17/41.19 |
% 240.17/41.19 | ALPHA: (ax22) implies:
% 240.17/41.19 | (27) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 240.17/41.19 | ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(v1, v1) = v2 & op(e0, e3) = v1 &
% 240.17/41.19 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e0, e3) = v1 & $i(v1))))
% 240.17/41.19 |
% 240.17/41.19 | ALPHA: (ax23) implies:
% 240.17/41.19 | (28) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 240.17/41.19 | ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(v1, v1) = v2 & op(e1, e3) = v1 &
% 240.17/41.19 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e1, e3) = v1 & $i(v1))))
% 240.17/41.19 |
% 240.17/41.19 | ALPHA: (ax24) implies:
% 240.17/41.19 | (29) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 240.17/41.19 | ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(v1, v1) = v2 & op(e1, e0) = v1 &
% 240.17/41.19 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e1, e0) = v1 & $i(v1))))
% 240.17/41.19 |
% 240.17/41.19 | ALPHA: (ax25) implies:
% 240.17/41.19 | (30) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 240.17/41.19 | ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(v1, v1) = v2 & op(e2, e0) = v1 &
% 240.17/41.19 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e2, e0) = v1 & $i(v1))))
% 240.17/41.19 |
% 240.17/41.19 | ALPHA: (ax26) implies:
% 240.17/41.19 | (31) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 240.17/41.19 | ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(v1, v1) = v2 & op(e0, e1) = v1 &
% 240.17/41.19 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e0, e1) = v1 & $i(v1))))
% 240.17/41.19 |
% 240.17/41.19 | ALPHA: (ax27) implies:
% 240.17/41.20 | (32) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 240.17/41.20 | ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(v1, v1) = v2 & op(e2, e1) = v1 &
% 240.17/41.20 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e2, e1) = v1 & $i(v1))))
% 240.17/41.20 |
% 240.17/41.20 | ALPHA: (ax28) implies:
% 240.17/41.20 | (33) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 240.17/41.20 | ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(v1, v1) = v2 & op(e0, e2) = v1 &
% 240.17/41.20 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e0, e2) = v1 & $i(v1))))
% 240.17/41.20 |
% 240.17/41.20 | ALPHA: (ax29) implies:
% 240.17/41.20 | (34) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 240.17/41.20 | ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(v1, v1) = v2 & op(e1, e2) = v1 &
% 240.17/41.20 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e1, e2) = v1 & $i(v1))))
% 240.17/41.20 |
% 240.17/41.20 | DELTA: instantiating (20) with fresh symbols all_4_0, all_4_1, all_4_2 gives:
% 240.17/41.20 | (35) op(e2, e2) = all_4_2 & $i(all_4_2) & ( ~ (all_4_2 = e3) | ( ~ (all_4_0
% 240.17/41.20 | = e1) & op(all_4_1, all_4_1) = all_4_0 & op(e3, e2) = all_4_1 &
% 240.17/41.20 | $i(all_4_0) & $i(all_4_1)) | ( ~ (all_4_1 = e0) & op(e3, e2) =
% 240.17/41.20 | all_4_1 & $i(all_4_1)))
% 240.17/41.20 |
% 240.17/41.20 | ALPHA: (35) implies:
% 240.17/41.20 | (36) op(e2, e2) = all_4_2
% 240.17/41.20 | (37) ~ (all_4_2 = e3) | ( ~ (all_4_0 = e1) & op(all_4_1, all_4_1) =
% 240.17/41.20 | all_4_0 & op(e3, e2) = all_4_1 & $i(all_4_0) & $i(all_4_1)) | ( ~
% 240.17/41.20 | (all_4_1 = e0) & op(e3, e2) = all_4_1 & $i(all_4_1))
% 240.17/41.20 |
% 240.17/41.20 | DELTA: instantiating (27) with fresh symbols all_6_0, all_6_1, all_6_2 gives:
% 240.17/41.20 | (38) op(e3, e3) = all_6_2 & $i(all_6_2) & ( ~ (all_6_2 = e0) | ( ~ (all_6_0
% 240.17/41.20 | = e2) & op(all_6_1, all_6_1) = all_6_0 & op(e0, e3) = all_6_1 &
% 240.17/41.20 | $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 = e1) & op(e0, e3) =
% 240.17/41.20 | all_6_1 & $i(all_6_1)))
% 240.17/41.20 |
% 240.17/41.20 | ALPHA: (38) implies:
% 240.17/41.20 | (39) op(e3, e3) = all_6_2
% 240.17/41.20 | (40) ~ (all_6_2 = e0) | ( ~ (all_6_0 = e2) & op(all_6_1, all_6_1) =
% 240.17/41.20 | all_6_0 & op(e0, e3) = all_6_1 & $i(all_6_0) & $i(all_6_1)) | ( ~
% 240.17/41.20 | (all_6_1 = e1) & op(e0, e3) = all_6_1 & $i(all_6_1))
% 240.17/41.20 |
% 240.17/41.20 | DELTA: instantiating (21) with fresh symbols all_8_0, all_8_1, all_8_2 gives:
% 240.17/41.20 | (41) op(e3, e3) = all_8_2 & $i(all_8_2) & ( ~ (all_8_2 = e0) | ( ~ (all_8_0
% 240.17/41.20 | = e1) & op(all_8_1, all_8_1) = all_8_0 & op(e0, e3) = all_8_1 &
% 240.17/41.20 | $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 = e2) & op(e0, e3) =
% 240.17/41.20 | all_8_1 & $i(all_8_1)))
% 240.17/41.20 |
% 240.17/41.20 | ALPHA: (41) implies:
% 240.17/41.20 | (42) op(e3, e3) = all_8_2
% 240.17/41.20 | (43) ~ (all_8_2 = e0) | ( ~ (all_8_0 = e1) & op(all_8_1, all_8_1) =
% 240.17/41.20 | all_8_0 & op(e0, e3) = all_8_1 & $i(all_8_0) & $i(all_8_1)) | ( ~
% 240.17/41.20 | (all_8_1 = e2) & op(e0, e3) = all_8_1 & $i(all_8_1))
% 240.17/41.20 |
% 240.17/41.20 | DELTA: instantiating (11) with fresh symbols all_10_0, all_10_1, all_10_2
% 240.17/41.20 | gives:
% 240.17/41.20 | (44) op(e1, e1) = all_10_2 & $i(all_10_2) & ( ~ (all_10_2 = e2) | ( ~
% 240.17/41.20 | (all_10_0 = e0) & op(all_10_1, all_10_1) = all_10_0 & op(e2, e1) =
% 240.17/41.20 | all_10_1 & $i(all_10_0) & $i(all_10_1)) | ( ~ (all_10_1 = e3) &
% 240.17/41.20 | op(e2, e1) = all_10_1 & $i(all_10_1)))
% 240.17/41.20 |
% 240.17/41.20 | ALPHA: (44) implies:
% 240.17/41.20 | (45) op(e1, e1) = all_10_2
% 240.17/41.20 | (46) ~ (all_10_2 = e2) | ( ~ (all_10_0 = e0) & op(all_10_1, all_10_1) =
% 240.17/41.20 | all_10_0 & op(e2, e1) = all_10_1 & $i(all_10_0) & $i(all_10_1)) | (
% 240.17/41.20 | ~ (all_10_1 = e3) & op(e2, e1) = all_10_1 & $i(all_10_1))
% 240.17/41.20 |
% 240.17/41.20 | DELTA: instantiating (22) with fresh symbols all_12_0, all_12_1, all_12_2
% 240.17/41.20 | gives:
% 240.17/41.20 | (47) op(e3, e3) = all_12_2 & $i(all_12_2) & ( ~ (all_12_2 = e2) | ( ~
% 240.17/41.20 | (all_12_0 = e1) & op(all_12_1, all_12_1) = all_12_0 & op(e2, e3) =
% 240.17/41.20 | all_12_1 & $i(all_12_0) & $i(all_12_1)) | ( ~ (all_12_1 = e0) &
% 240.17/41.20 | op(e2, e3) = all_12_1 & $i(all_12_1)))
% 240.17/41.20 |
% 240.17/41.20 | ALPHA: (47) implies:
% 240.17/41.20 | (48) op(e3, e3) = all_12_2
% 240.58/41.20 | (49) ~ (all_12_2 = e2) | ( ~ (all_12_0 = e1) & op(all_12_1, all_12_1) =
% 240.58/41.20 | all_12_0 & op(e2, e3) = all_12_1 & $i(all_12_0) & $i(all_12_1)) | (
% 240.58/41.20 | ~ (all_12_1 = e0) & op(e2, e3) = all_12_1 & $i(all_12_1))
% 240.58/41.20 |
% 240.58/41.20 | DELTA: instantiating (29) with fresh symbols all_14_0, all_14_1, all_14_2
% 240.58/41.20 | gives:
% 240.58/41.20 | (50) op(e0, e0) = all_14_2 & $i(all_14_2) & ( ~ (all_14_2 = e1) | ( ~
% 240.58/41.20 | (all_14_0 = e3) & op(all_14_1, all_14_1) = all_14_0 & op(e1, e0) =
% 240.58/41.20 | all_14_1 & $i(all_14_0) & $i(all_14_1)) | ( ~ (all_14_1 = e2) &
% 240.58/41.20 | op(e1, e0) = all_14_1 & $i(all_14_1)))
% 240.58/41.20 |
% 240.58/41.20 | ALPHA: (50) implies:
% 240.58/41.20 | (51) op(e0, e0) = all_14_2
% 240.58/41.21 | (52) ~ (all_14_2 = e1) | ( ~ (all_14_0 = e3) & op(all_14_1, all_14_1) =
% 240.58/41.21 | all_14_0 & op(e1, e0) = all_14_1 & $i(all_14_0) & $i(all_14_1)) | (
% 240.58/41.21 | ~ (all_14_1 = e2) & op(e1, e0) = all_14_1 & $i(all_14_1))
% 240.58/41.21 |
% 240.58/41.21 | DELTA: instantiating (23) with fresh symbols all_16_0, all_16_1, all_16_2
% 240.58/41.21 | gives:
% 240.58/41.21 | (53) op(e0, e0) = all_16_2 & $i(all_16_2) & ( ~ (all_16_2 = e1) | ( ~
% 240.58/41.21 | (all_16_0 = e2) & op(all_16_1, all_16_1) = all_16_0 & op(e1, e0) =
% 240.58/41.21 | all_16_1 & $i(all_16_0) & $i(all_16_1)) | ( ~ (all_16_1 = e3) &
% 240.58/41.21 | op(e1, e0) = all_16_1 & $i(all_16_1)))
% 240.58/41.21 |
% 240.58/41.21 | ALPHA: (53) implies:
% 240.58/41.21 | (54) op(e0, e0) = all_16_2
% 240.58/41.21 | (55) ~ (all_16_2 = e1) | ( ~ (all_16_0 = e2) & op(all_16_1, all_16_1) =
% 240.58/41.21 | all_16_0 & op(e1, e0) = all_16_1 & $i(all_16_0) & $i(all_16_1)) | (
% 240.58/41.21 | ~ (all_16_1 = e3) & op(e1, e0) = all_16_1 & $i(all_16_1))
% 240.58/41.21 |
% 240.58/41.21 | DELTA: instantiating (24) with fresh symbols all_18_0, all_18_1, all_18_2
% 240.58/41.21 | gives:
% 240.58/41.21 | (56) op(e0, e0) = all_18_2 & $i(all_18_2) & ( ~ (all_18_2 = e3) | ( ~
% 240.58/41.21 | (all_18_0 = e2) & op(all_18_1, all_18_1) = all_18_0 & op(e3, e0) =
% 240.58/41.21 | all_18_1 & $i(all_18_0) & $i(all_18_1)) | ( ~ (all_18_1 = e1) &
% 240.58/41.21 | op(e3, e0) = all_18_1 & $i(all_18_1)))
% 240.58/41.21 |
% 240.58/41.21 | ALPHA: (56) implies:
% 240.58/41.21 | (57) op(e0, e0) = all_18_2
% 240.58/41.21 | (58) ~ (all_18_2 = e3) | ( ~ (all_18_0 = e2) & op(all_18_1, all_18_1) =
% 240.58/41.21 | all_18_0 & op(e3, e0) = all_18_1 & $i(all_18_0) & $i(all_18_1)) | (
% 240.58/41.21 | ~ (all_18_1 = e1) & op(e3, e0) = all_18_1 & $i(all_18_1))
% 240.58/41.21 |
% 240.58/41.21 | DELTA: instantiating (26) with fresh symbols all_20_0, all_20_1, all_20_2
% 240.58/41.21 | gives:
% 240.58/41.21 | (59) op(e1, e1) = all_20_2 & $i(all_20_2) & ( ~ (all_20_2 = e3) | ( ~
% 240.58/41.21 | (all_20_0 = e2) & op(all_20_1, all_20_1) = all_20_0 & op(e3, e1) =
% 240.58/41.21 | all_20_1 & $i(all_20_0) & $i(all_20_1)) | ( ~ (all_20_1 = e0) &
% 240.58/41.21 | op(e3, e1) = all_20_1 & $i(all_20_1)))
% 240.58/41.21 |
% 240.58/41.21 | ALPHA: (59) implies:
% 240.58/41.21 | (60) op(e1, e1) = all_20_2
% 240.58/41.21 | (61) ~ (all_20_2 = e3) | ( ~ (all_20_0 = e2) & op(all_20_1, all_20_1) =
% 240.58/41.21 | all_20_0 & op(e3, e1) = all_20_1 & $i(all_20_0) & $i(all_20_1)) | (
% 240.58/41.21 | ~ (all_20_1 = e0) & op(e3, e1) = all_20_1 & $i(all_20_1))
% 240.58/41.21 |
% 240.58/41.21 | DELTA: instantiating (31) with fresh symbols all_22_0, all_22_1, all_22_2
% 240.58/41.21 | gives:
% 240.58/41.21 | (62) op(e1, e1) = all_22_2 & $i(all_22_2) & ( ~ (all_22_2 = e0) | ( ~
% 240.58/41.21 | (all_22_0 = e3) & op(all_22_1, all_22_1) = all_22_0 & op(e0, e1) =
% 240.58/41.21 | all_22_1 & $i(all_22_0) & $i(all_22_1)) | ( ~ (all_22_1 = e2) &
% 240.58/41.21 | op(e0, e1) = all_22_1 & $i(all_22_1)))
% 240.58/41.21 |
% 240.58/41.21 | ALPHA: (62) implies:
% 240.58/41.21 | (63) op(e1, e1) = all_22_2
% 240.58/41.21 | (64) ~ (all_22_2 = e0) | ( ~ (all_22_0 = e3) & op(all_22_1, all_22_1) =
% 240.58/41.21 | all_22_0 & op(e0, e1) = all_22_1 & $i(all_22_0) & $i(all_22_1)) | (
% 240.58/41.21 | ~ (all_22_1 = e2) & op(e0, e1) = all_22_1 & $i(all_22_1))
% 240.58/41.21 |
% 240.58/41.21 | DELTA: instantiating (13) with fresh symbols all_24_0, all_24_1, all_24_2
% 240.58/41.21 | gives:
% 240.58/41.21 | (65) op(e2, e2) = all_24_2 & $i(all_24_2) & ( ~ (all_24_2 = e1) | ( ~
% 240.58/41.21 | (all_24_0 = e0) & op(all_24_1, all_24_1) = all_24_0 & op(e1, e2) =
% 240.58/41.21 | all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~ (all_24_1 = e3) &
% 240.58/41.21 | op(e1, e2) = all_24_1 & $i(all_24_1)))
% 240.58/41.21 |
% 240.58/41.21 | ALPHA: (65) implies:
% 240.58/41.21 | (66) op(e2, e2) = all_24_2
% 240.58/41.21 | (67) ~ (all_24_2 = e1) | ( ~ (all_24_0 = e0) & op(all_24_1, all_24_1) =
% 240.58/41.21 | all_24_0 & op(e1, e2) = all_24_1 & $i(all_24_0) & $i(all_24_1)) | (
% 240.58/41.21 | ~ (all_24_1 = e3) & op(e1, e2) = all_24_1 & $i(all_24_1))
% 240.58/41.21 |
% 240.58/41.21 | DELTA: instantiating (28) with fresh symbols all_26_0, all_26_1, all_26_2
% 240.58/41.21 | gives:
% 240.58/41.21 | (68) op(e3, e3) = all_26_2 & $i(all_26_2) & ( ~ (all_26_2 = e1) | ( ~
% 240.58/41.21 | (all_26_0 = e2) & op(all_26_1, all_26_1) = all_26_0 & op(e1, e3) =
% 240.58/41.21 | all_26_1 & $i(all_26_0) & $i(all_26_1)) | ( ~ (all_26_1 = e0) &
% 240.58/41.21 | op(e1, e3) = all_26_1 & $i(all_26_1)))
% 240.58/41.21 |
% 240.58/41.21 | ALPHA: (68) implies:
% 240.58/41.21 | (69) op(e3, e3) = all_26_2
% 240.58/41.21 | (70) ~ (all_26_2 = e1) | ( ~ (all_26_0 = e2) & op(all_26_1, all_26_1) =
% 240.58/41.21 | all_26_0 & op(e1, e3) = all_26_1 & $i(all_26_0) & $i(all_26_1)) | (
% 240.58/41.21 | ~ (all_26_1 = e0) & op(e1, e3) = all_26_1 & $i(all_26_1))
% 240.58/41.21 |
% 240.58/41.21 | DELTA: instantiating (30) with fresh symbols all_28_0, all_28_1, all_28_2
% 240.58/41.21 | gives:
% 240.58/41.21 | (71) op(e0, e0) = all_28_2 & $i(all_28_2) & ( ~ (all_28_2 = e2) | ( ~
% 240.58/41.21 | (all_28_0 = e3) & op(all_28_1, all_28_1) = all_28_0 & op(e2, e0) =
% 240.58/41.21 | all_28_1 & $i(all_28_0) & $i(all_28_1)) | ( ~ (all_28_1 = e1) &
% 240.58/41.21 | op(e2, e0) = all_28_1 & $i(all_28_1)))
% 240.58/41.21 |
% 240.58/41.21 | ALPHA: (71) implies:
% 240.58/41.21 | (72) op(e0, e0) = all_28_2
% 240.58/41.21 | (73) ~ (all_28_2 = e2) | ( ~ (all_28_0 = e3) & op(all_28_1, all_28_1) =
% 240.58/41.21 | all_28_0 & op(e2, e0) = all_28_1 & $i(all_28_0) & $i(all_28_1)) | (
% 240.58/41.21 | ~ (all_28_1 = e1) & op(e2, e0) = all_28_1 & $i(all_28_1))
% 240.58/41.21 |
% 240.58/41.21 | DELTA: instantiating (12) with fresh symbols all_30_0, all_30_1, all_30_2
% 240.58/41.21 | gives:
% 240.58/41.21 | (74) op(e1, e1) = all_30_2 & $i(all_30_2) & ( ~ (all_30_2 = e3) | ( ~
% 240.58/41.21 | (all_30_0 = e0) & op(all_30_1, all_30_1) = all_30_0 & op(e3, e1) =
% 240.58/41.21 | all_30_1 & $i(all_30_0) & $i(all_30_1)) | ( ~ (all_30_1 = e2) &
% 240.58/41.21 | op(e3, e1) = all_30_1 & $i(all_30_1)))
% 240.58/41.21 |
% 240.58/41.21 | ALPHA: (74) implies:
% 240.58/41.21 | (75) op(e1, e1) = all_30_2
% 240.58/41.21 | (76) ~ (all_30_2 = e3) | ( ~ (all_30_0 = e0) & op(all_30_1, all_30_1) =
% 240.58/41.21 | all_30_0 & op(e3, e1) = all_30_1 & $i(all_30_0) & $i(all_30_1)) | (
% 240.58/41.21 | ~ (all_30_1 = e2) & op(e3, e1) = all_30_1 & $i(all_30_1))
% 240.58/41.21 |
% 240.58/41.21 | DELTA: instantiating (19) with fresh symbols all_32_0, all_32_1, all_32_2
% 240.58/41.21 | gives:
% 240.58/41.22 | (77) op(e2, e2) = all_32_2 & $i(all_32_2) & ( ~ (all_32_2 = e0) | ( ~
% 240.58/41.22 | (all_32_0 = e1) & op(all_32_1, all_32_1) = all_32_0 & op(e0, e2) =
% 240.58/41.22 | all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~ (all_32_1 = e3) &
% 240.58/41.22 | op(e0, e2) = all_32_1 & $i(all_32_1)))
% 240.58/41.22 |
% 240.58/41.22 | ALPHA: (77) implies:
% 240.58/41.22 | (78) op(e2, e2) = all_32_2
% 240.58/41.22 | (79) ~ (all_32_2 = e0) | ( ~ (all_32_0 = e1) & op(all_32_1, all_32_1) =
% 240.58/41.22 | all_32_0 & op(e0, e2) = all_32_1 & $i(all_32_0) & $i(all_32_1)) | (
% 240.58/41.22 | ~ (all_32_1 = e3) & op(e0, e2) = all_32_1 & $i(all_32_1))
% 240.58/41.22 |
% 240.58/41.22 | DELTA: instantiating (32) with fresh symbols all_34_0, all_34_1, all_34_2
% 240.58/41.22 | gives:
% 240.58/41.22 | (80) op(e1, e1) = all_34_2 & $i(all_34_2) & ( ~ (all_34_2 = e2) | ( ~
% 240.58/41.22 | (all_34_0 = e3) & op(all_34_1, all_34_1) = all_34_0 & op(e2, e1) =
% 240.58/41.22 | all_34_1 & $i(all_34_0) & $i(all_34_1)) | ( ~ (all_34_1 = e0) &
% 240.58/41.22 | op(e2, e1) = all_34_1 & $i(all_34_1)))
% 240.58/41.22 |
% 240.58/41.22 | ALPHA: (80) implies:
% 240.58/41.22 | (81) op(e1, e1) = all_34_2
% 240.58/41.22 | (82) ~ (all_34_2 = e2) | ( ~ (all_34_0 = e3) & op(all_34_1, all_34_1) =
% 240.58/41.22 | all_34_0 & op(e2, e1) = all_34_1 & $i(all_34_0) & $i(all_34_1)) | (
% 240.58/41.22 | ~ (all_34_1 = e0) & op(e2, e1) = all_34_1 & $i(all_34_1))
% 240.58/41.22 |
% 240.58/41.22 | DELTA: instantiating (33) with fresh symbols all_36_0, all_36_1, all_36_2
% 240.58/41.22 | gives:
% 240.58/41.22 | (83) op(e2, e2) = all_36_2 & $i(all_36_2) & ( ~ (all_36_2 = e0) | ( ~
% 240.58/41.22 | (all_36_0 = e3) & op(all_36_1, all_36_1) = all_36_0 & op(e0, e2) =
% 240.58/41.22 | all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 = e1) &
% 240.58/41.22 | op(e0, e2) = all_36_1 & $i(all_36_1)))
% 240.58/41.22 |
% 240.58/41.22 | ALPHA: (83) implies:
% 240.58/41.22 | (84) op(e2, e2) = all_36_2
% 240.58/41.22 | (85) ~ (all_36_2 = e0) | ( ~ (all_36_0 = e3) & op(all_36_1, all_36_1) =
% 240.58/41.22 | all_36_0 & op(e0, e2) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | (
% 240.58/41.22 | ~ (all_36_1 = e1) & op(e0, e2) = all_36_1 & $i(all_36_1))
% 240.58/41.22 |
% 240.58/41.22 | DELTA: instantiating (25) with fresh symbols all_38_0, all_38_1, all_38_2
% 240.58/41.22 | gives:
% 240.58/41.22 | (86) op(e1, e1) = all_38_2 & $i(all_38_2) & ( ~ (all_38_2 = e0) | ( ~
% 240.58/41.22 | (all_38_0 = e2) & op(all_38_1, all_38_1) = all_38_0 & op(e0, e1) =
% 240.58/41.22 | all_38_1 & $i(all_38_0) & $i(all_38_1)) | ( ~ (all_38_1 = e3) &
% 240.58/41.22 | op(e0, e1) = all_38_1 & $i(all_38_1)))
% 240.58/41.22 |
% 240.58/41.22 | ALPHA: (86) implies:
% 240.58/41.22 | (87) op(e1, e1) = all_38_2
% 240.58/41.22 | (88) ~ (all_38_2 = e0) | ( ~ (all_38_0 = e2) & op(all_38_1, all_38_1) =
% 240.58/41.22 | all_38_0 & op(e0, e1) = all_38_1 & $i(all_38_0) & $i(all_38_1)) | (
% 240.58/41.22 | ~ (all_38_1 = e3) & op(e0, e1) = all_38_1 & $i(all_38_1))
% 240.58/41.22 |
% 240.58/41.22 | DELTA: instantiating (14) with fresh symbols all_40_0, all_40_1, all_40_2
% 240.58/41.22 | gives:
% 240.58/41.22 | (89) op(e2, e2) = all_40_2 & $i(all_40_2) & ( ~ (all_40_2 = e3) | ( ~
% 240.58/41.22 | (all_40_0 = e0) & op(all_40_1, all_40_1) = all_40_0 & op(e3, e2) =
% 240.58/41.22 | all_40_1 & $i(all_40_0) & $i(all_40_1)) | ( ~ (all_40_1 = e1) &
% 240.58/41.22 | op(e3, e2) = all_40_1 & $i(all_40_1)))
% 240.58/41.22 |
% 240.58/41.22 | ALPHA: (89) implies:
% 240.58/41.22 | (90) op(e2, e2) = all_40_2
% 240.58/41.22 | (91) ~ (all_40_2 = e3) | ( ~ (all_40_0 = e0) & op(all_40_1, all_40_1) =
% 240.58/41.22 | all_40_0 & op(e3, e2) = all_40_1 & $i(all_40_0) & $i(all_40_1)) | (
% 240.58/41.22 | ~ (all_40_1 = e1) & op(e3, e2) = all_40_1 & $i(all_40_1))
% 240.58/41.22 |
% 240.58/41.22 | DELTA: instantiating (15) with fresh symbols all_42_0, all_42_1, all_42_2
% 240.58/41.22 | gives:
% 240.58/41.22 | (92) op(e3, e3) = all_42_2 & $i(all_42_2) & ( ~ (all_42_2 = e1) | ( ~
% 240.58/41.22 | (all_42_0 = e0) & op(all_42_1, all_42_1) = all_42_0 & op(e1, e3) =
% 240.58/41.22 | all_42_1 & $i(all_42_0) & $i(all_42_1)) | ( ~ (all_42_1 = e2) &
% 240.58/41.22 | op(e1, e3) = all_42_1 & $i(all_42_1)))
% 240.58/41.22 |
% 240.58/41.22 | ALPHA: (92) implies:
% 240.58/41.22 | (93) op(e3, e3) = all_42_2
% 240.58/41.22 | (94) ~ (all_42_2 = e1) | ( ~ (all_42_0 = e0) & op(all_42_1, all_42_1) =
% 240.58/41.22 | all_42_0 & op(e1, e3) = all_42_1 & $i(all_42_0) & $i(all_42_1)) | (
% 240.58/41.22 | ~ (all_42_1 = e2) & op(e1, e3) = all_42_1 & $i(all_42_1))
% 240.58/41.22 |
% 240.58/41.22 | DELTA: instantiating (34) with fresh symbols all_44_0, all_44_1, all_44_2
% 240.58/41.22 | gives:
% 240.58/41.22 | (95) op(e2, e2) = all_44_2 & $i(all_44_2) & ( ~ (all_44_2 = e1) | ( ~
% 240.58/41.22 | (all_44_0 = e3) & op(all_44_1, all_44_1) = all_44_0 & op(e1, e2) =
% 240.58/41.22 | all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~ (all_44_1 = e0) &
% 240.58/41.22 | op(e1, e2) = all_44_1 & $i(all_44_1)))
% 240.58/41.22 |
% 240.58/41.22 | ALPHA: (95) implies:
% 240.58/41.22 | (96) op(e2, e2) = all_44_2
% 240.58/41.22 | (97) ~ (all_44_2 = e1) | ( ~ (all_44_0 = e3) & op(all_44_1, all_44_1) =
% 240.58/41.22 | all_44_0 & op(e1, e2) = all_44_1 & $i(all_44_0) & $i(all_44_1)) | (
% 240.58/41.22 | ~ (all_44_1 = e0) & op(e1, e2) = all_44_1 & $i(all_44_1))
% 240.58/41.22 |
% 240.58/41.22 | DELTA: instantiating (16) with fresh symbols all_46_0, all_46_1, all_46_2
% 240.58/41.22 | gives:
% 240.58/41.22 | (98) op(e3, e3) = all_46_2 & $i(all_46_2) & ( ~ (all_46_2 = e2) | ( ~
% 240.58/41.22 | (all_46_0 = e0) & op(all_46_1, all_46_1) = all_46_0 & op(e2, e3) =
% 240.58/41.22 | all_46_1 & $i(all_46_0) & $i(all_46_1)) | ( ~ (all_46_1 = e1) &
% 240.58/41.22 | op(e2, e3) = all_46_1 & $i(all_46_1)))
% 240.58/41.22 |
% 240.58/41.22 | ALPHA: (98) implies:
% 240.58/41.22 | (99) op(e3, e3) = all_46_2
% 240.58/41.22 | (100) ~ (all_46_2 = e2) | ( ~ (all_46_0 = e0) & op(all_46_1, all_46_1) =
% 240.58/41.22 | all_46_0 & op(e2, e3) = all_46_1 & $i(all_46_0) & $i(all_46_1)) | (
% 240.58/41.22 | ~ (all_46_1 = e1) & op(e2, e3) = all_46_1 & $i(all_46_1))
% 240.58/41.22 |
% 240.58/41.22 | DELTA: instantiating (18) with fresh symbols all_48_0, all_48_1, all_48_2
% 240.58/41.22 | gives:
% 240.58/41.22 | (101) op(e0, e0) = all_48_2 & $i(all_48_2) & ( ~ (all_48_2 = e3) | ( ~
% 240.58/41.22 | (all_48_0 = e1) & op(all_48_1, all_48_1) = all_48_0 & op(e3, e0)
% 240.58/41.22 | = all_48_1 & $i(all_48_0) & $i(all_48_1)) | ( ~ (all_48_1 = e2) &
% 240.58/41.22 | op(e3, e0) = all_48_1 & $i(all_48_1)))
% 240.58/41.22 |
% 240.58/41.22 | ALPHA: (101) implies:
% 240.58/41.22 | (102) op(e0, e0) = all_48_2
% 240.58/41.22 | (103) ~ (all_48_2 = e3) | ( ~ (all_48_0 = e1) & op(all_48_1, all_48_1) =
% 240.58/41.22 | all_48_0 & op(e3, e0) = all_48_1 & $i(all_48_0) & $i(all_48_1)) | (
% 240.58/41.22 | ~ (all_48_1 = e2) & op(e3, e0) = all_48_1 & $i(all_48_1))
% 240.58/41.22 |
% 240.58/41.22 | DELTA: instantiating (17) with fresh symbols all_50_0, all_50_1, all_50_2
% 240.58/41.22 | gives:
% 240.58/41.23 | (104) op(e0, e0) = all_50_2 & $i(all_50_2) & ( ~ (all_50_2 = e2) | ( ~
% 240.58/41.23 | (all_50_0 = e1) & op(all_50_1, all_50_1) = all_50_0 & op(e2, e0)
% 240.58/41.23 | = all_50_1 & $i(all_50_0) & $i(all_50_1)) | ( ~ (all_50_1 = e3) &
% 240.58/41.23 | op(e2, e0) = all_50_1 & $i(all_50_1)))
% 240.58/41.23 |
% 240.58/41.23 | ALPHA: (104) implies:
% 240.58/41.23 | (105) op(e0, e0) = all_50_2
% 240.58/41.23 | (106) ~ (all_50_2 = e2) | ( ~ (all_50_0 = e1) & op(all_50_1, all_50_1) =
% 240.58/41.23 | all_50_0 & op(e2, e0) = all_50_1 & $i(all_50_0) & $i(all_50_1)) | (
% 240.58/41.23 | ~ (all_50_1 = e3) & op(e2, e0) = all_50_1 & $i(all_50_1))
% 240.58/41.23 |
% 240.58/41.23 | DELTA: instantiating (3) with fresh symbols all_52_0, all_52_1, all_52_2,
% 240.58/41.23 | all_52_3, all_52_4, all_52_5, all_52_6, all_52_7, all_52_8, all_52_9,
% 240.58/41.23 | all_52_10, all_52_11, all_52_12, all_52_13, all_52_14, all_52_15 gives:
% 240.58/41.23 | (107) ~ (all_52_0 = all_52_1) & ~ (all_52_0 = all_52_2) & ~ (all_52_0 =
% 240.58/41.23 | all_52_3) & ~ (all_52_0 = all_52_4) & ~ (all_52_0 = all_52_8) &
% 240.58/41.23 | ~ (all_52_0 = all_52_12) & ~ (all_52_1 = all_52_2) & ~ (all_52_1 =
% 240.58/41.23 | all_52_3) & ~ (all_52_1 = all_52_5) & ~ (all_52_1 = all_52_9) &
% 240.58/41.23 | ~ (all_52_1 = all_52_13) & ~ (all_52_2 = all_52_3) & ~ (all_52_2 =
% 240.58/41.23 | all_52_6) & ~ (all_52_2 = all_52_10) & ~ (all_52_2 = all_52_14) &
% 240.58/41.23 | ~ (all_52_3 = all_52_7) & ~ (all_52_3 = all_52_11) & ~ (all_52_3 =
% 240.58/41.23 | all_52_15) & ~ (all_52_4 = all_52_5) & ~ (all_52_4 = all_52_6) &
% 240.58/41.23 | ~ (all_52_4 = all_52_7) & ~ (all_52_4 = all_52_8) & ~ (all_52_4 =
% 240.58/41.23 | all_52_12) & ~ (all_52_5 = all_52_6) & ~ (all_52_5 = all_52_7) &
% 240.58/41.23 | ~ (all_52_5 = all_52_9) & ~ (all_52_5 = all_52_13) & ~ (all_52_6 =
% 240.58/41.23 | all_52_7) & ~ (all_52_6 = all_52_10) & ~ (all_52_6 = all_52_14) &
% 240.58/41.23 | ~ (all_52_7 = all_52_11) & ~ (all_52_7 = all_52_15) & ~ (all_52_8
% 240.58/41.23 | = all_52_9) & ~ (all_52_8 = all_52_10) & ~ (all_52_8 = all_52_11)
% 240.58/41.23 | & ~ (all_52_8 = all_52_12) & ~ (all_52_9 = all_52_10) & ~
% 240.58/41.23 | (all_52_9 = all_52_11) & ~ (all_52_9 = all_52_13) & ~ (all_52_10 =
% 240.58/41.23 | all_52_11) & ~ (all_52_10 = all_52_14) & ~ (all_52_11 =
% 240.58/41.23 | all_52_15) & ~ (all_52_12 = all_52_13) & ~ (all_52_12 =
% 240.58/41.23 | all_52_14) & ~ (all_52_12 = all_52_15) & ~ (all_52_13 =
% 240.58/41.23 | all_52_14) & ~ (all_52_13 = all_52_15) & ~ (all_52_14 =
% 240.58/41.23 | all_52_15) & op(e3, e3) = all_52_0 & op(e3, e2) = all_52_4 & op(e3,
% 240.58/41.23 | e1) = all_52_8 & op(e3, e0) = all_52_12 & op(e2, e3) = all_52_1 &
% 240.58/41.23 | op(e2, e2) = all_52_5 & op(e2, e1) = all_52_9 & op(e2, e0) =
% 240.58/41.23 | all_52_13 & op(e1, e3) = all_52_2 & op(e1, e2) = all_52_6 & op(e1,
% 240.58/41.23 | e1) = all_52_10 & op(e1, e0) = all_52_14 & op(e0, e3) = all_52_3 &
% 240.58/41.23 | op(e0, e2) = all_52_7 & op(e0, e1) = all_52_11 & op(e0, e0) =
% 240.58/41.23 | all_52_15 & $i(all_52_0) & $i(all_52_1) & $i(all_52_2) & $i(all_52_3)
% 240.58/41.23 | & $i(all_52_4) & $i(all_52_5) & $i(all_52_6) & $i(all_52_7) &
% 240.58/41.23 | $i(all_52_8) & $i(all_52_9) & $i(all_52_10) & $i(all_52_11) &
% 240.58/41.23 | $i(all_52_12) & $i(all_52_13) & $i(all_52_14) & $i(all_52_15)
% 240.58/41.23 |
% 240.58/41.23 | ALPHA: (107) implies:
% 240.58/41.23 | (108) ~ (all_52_14 = all_52_15)
% 240.58/41.23 | (109) ~ (all_52_13 = all_52_15)
% 240.58/41.23 | (110) ~ (all_52_13 = all_52_14)
% 240.58/41.23 | (111) ~ (all_52_12 = all_52_15)
% 240.58/41.23 | (112) ~ (all_52_12 = all_52_14)
% 240.58/41.23 | (113) ~ (all_52_12 = all_52_13)
% 240.58/41.23 | (114) ~ (all_52_11 = all_52_15)
% 240.58/41.23 | (115) ~ (all_52_10 = all_52_14)
% 240.58/41.23 | (116) ~ (all_52_10 = all_52_11)
% 240.58/41.23 | (117) ~ (all_52_9 = all_52_13)
% 240.58/41.23 | (118) ~ (all_52_9 = all_52_11)
% 240.58/41.23 | (119) ~ (all_52_9 = all_52_10)
% 240.58/41.23 | (120) ~ (all_52_8 = all_52_12)
% 240.58/41.23 | (121) ~ (all_52_8 = all_52_11)
% 240.58/41.23 | (122) ~ (all_52_8 = all_52_10)
% 240.58/41.23 | (123) ~ (all_52_8 = all_52_9)
% 240.58/41.23 | (124) ~ (all_52_7 = all_52_15)
% 240.58/41.23 | (125) ~ (all_52_7 = all_52_11)
% 240.58/41.23 | (126) ~ (all_52_6 = all_52_14)
% 240.58/41.23 | (127) ~ (all_52_6 = all_52_10)
% 240.58/41.23 | (128) ~ (all_52_6 = all_52_7)
% 240.58/41.23 | (129) ~ (all_52_5 = all_52_13)
% 240.58/41.23 | (130) ~ (all_52_5 = all_52_9)
% 240.58/41.23 | (131) ~ (all_52_5 = all_52_7)
% 240.58/41.23 | (132) ~ (all_52_5 = all_52_6)
% 240.58/41.23 | (133) ~ (all_52_4 = all_52_12)
% 240.58/41.23 | (134) ~ (all_52_4 = all_52_8)
% 240.58/41.23 | (135) ~ (all_52_4 = all_52_7)
% 240.58/41.23 | (136) ~ (all_52_4 = all_52_6)
% 240.58/41.23 | (137) ~ (all_52_4 = all_52_5)
% 240.58/41.23 | (138) ~ (all_52_3 = all_52_15)
% 240.58/41.23 | (139) ~ (all_52_3 = all_52_11)
% 240.58/41.23 | (140) ~ (all_52_3 = all_52_7)
% 240.58/41.23 | (141) ~ (all_52_2 = all_52_14)
% 240.58/41.23 | (142) ~ (all_52_2 = all_52_10)
% 240.58/41.23 | (143) ~ (all_52_2 = all_52_6)
% 240.58/41.23 | (144) ~ (all_52_2 = all_52_3)
% 240.58/41.23 | (145) ~ (all_52_1 = all_52_13)
% 240.58/41.23 | (146) ~ (all_52_1 = all_52_9)
% 240.58/41.23 | (147) ~ (all_52_1 = all_52_5)
% 240.58/41.23 | (148) ~ (all_52_1 = all_52_3)
% 240.58/41.23 | (149) ~ (all_52_1 = all_52_2)
% 240.58/41.23 | (150) ~ (all_52_0 = all_52_12)
% 240.58/41.23 | (151) ~ (all_52_0 = all_52_8)
% 240.58/41.23 | (152) ~ (all_52_0 = all_52_4)
% 240.58/41.23 | (153) ~ (all_52_0 = all_52_3)
% 240.58/41.23 | (154) ~ (all_52_0 = all_52_2)
% 240.58/41.23 | (155) ~ (all_52_0 = all_52_1)
% 240.58/41.23 | (156) op(e0, e0) = all_52_15
% 240.58/41.23 | (157) op(e0, e1) = all_52_11
% 240.58/41.23 | (158) op(e0, e2) = all_52_7
% 240.58/41.23 | (159) op(e0, e3) = all_52_3
% 240.58/41.23 | (160) op(e1, e0) = all_52_14
% 240.58/41.23 | (161) op(e1, e1) = all_52_10
% 240.58/41.23 | (162) op(e1, e2) = all_52_6
% 240.58/41.23 | (163) op(e1, e3) = all_52_2
% 240.58/41.23 | (164) op(e2, e0) = all_52_13
% 240.58/41.23 | (165) op(e2, e1) = all_52_9
% 240.58/41.23 | (166) op(e2, e2) = all_52_5
% 240.58/41.23 | (167) op(e2, e3) = all_52_1
% 240.58/41.23 | (168) op(e3, e0) = all_52_12
% 240.58/41.23 | (169) op(e3, e1) = all_52_8
% 240.58/41.23 | (170) op(e3, e2) = all_52_4
% 240.58/41.23 | (171) op(e3, e3) = all_52_0
% 240.58/41.23 |
% 240.58/41.23 | DELTA: instantiating (1) with fresh symbols all_54_0, all_54_1, all_54_2,
% 240.58/41.23 | all_54_3, all_54_4, all_54_5, all_54_6, all_54_7, all_54_8, all_54_9,
% 240.58/41.23 | all_54_10, all_54_11, all_54_12, all_54_13, all_54_14, all_54_15 gives:
% 240.58/41.24 | (172) op(e3, e3) = all_54_0 & op(e3, e2) = all_54_1 & op(e3, e1) = all_54_2
% 240.58/41.24 | & op(e3, e0) = all_54_3 & op(e2, e3) = all_54_4 & op(e2, e2) =
% 240.58/41.24 | all_54_5 & op(e2, e1) = all_54_6 & op(e2, e0) = all_54_7 & op(e1, e3)
% 240.58/41.24 | = all_54_8 & op(e1, e2) = all_54_9 & op(e1, e1) = all_54_10 & op(e1,
% 240.58/41.24 | e0) = all_54_11 & op(e0, e3) = all_54_12 & op(e0, e2) = all_54_13 &
% 240.58/41.24 | op(e0, e1) = all_54_14 & op(e0, e0) = all_54_15 & $i(all_54_0) &
% 240.58/41.24 | $i(all_54_1) & $i(all_54_2) & $i(all_54_3) & $i(all_54_4) &
% 240.58/41.24 | $i(all_54_5) & $i(all_54_6) & $i(all_54_7) & $i(all_54_8) &
% 240.58/41.24 | $i(all_54_9) & $i(all_54_10) & $i(all_54_11) & $i(all_54_12) &
% 240.58/41.24 | $i(all_54_13) & $i(all_54_14) & $i(all_54_15) & (all_54_0 = e3 |
% 240.58/41.24 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0) & (all_54_1 = e3 |
% 240.58/41.24 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0) & (all_54_2 = e3 |
% 240.58/41.24 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0) & (all_54_3 = e3 |
% 240.58/41.24 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0) & (all_54_4 = e3 |
% 240.58/41.24 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0) & (all_54_5 = e3 |
% 240.58/41.24 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0) & (all_54_6 = e3 |
% 240.58/41.24 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0) & (all_54_7 = e3 |
% 240.58/41.24 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0) & (all_54_8 = e3 |
% 240.58/41.24 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0) & (all_54_9 = e3 |
% 240.58/41.24 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0) & (all_54_10 = e3 |
% 240.58/41.24 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0) & (all_54_11 = e3
% 240.58/41.24 | | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0) & (all_54_12 =
% 240.58/41.24 | e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0) & (all_54_13
% 240.58/41.24 | = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0) &
% 240.58/41.24 | (all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0) &
% 240.58/41.24 | (all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0)
% 240.58/41.24 |
% 240.58/41.24 | ALPHA: (172) implies:
% 240.58/41.24 | (173) op(e0, e0) = all_54_15
% 240.58/41.24 | (174) op(e0, e1) = all_54_14
% 240.58/41.24 | (175) op(e0, e2) = all_54_13
% 240.58/41.24 | (176) op(e0, e3) = all_54_12
% 240.58/41.24 | (177) op(e1, e0) = all_54_11
% 240.58/41.24 | (178) op(e1, e1) = all_54_10
% 240.58/41.24 | (179) op(e1, e2) = all_54_9
% 240.58/41.24 | (180) op(e1, e3) = all_54_8
% 240.58/41.24 | (181) op(e2, e0) = all_54_7
% 240.58/41.24 | (182) op(e2, e1) = all_54_6
% 240.58/41.24 | (183) op(e2, e2) = all_54_5
% 240.58/41.24 | (184) op(e2, e3) = all_54_4
% 240.58/41.24 | (185) op(e3, e0) = all_54_3
% 240.58/41.24 | (186) op(e3, e1) = all_54_2
% 240.58/41.24 | (187) op(e3, e2) = all_54_1
% 240.58/41.24 | (188) op(e3, e3) = all_54_0
% 240.58/41.24 | (189) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 240.58/41.24 | (190) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 240.58/41.24 | (191) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 240.58/41.24 | (192) all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 240.58/41.24 | (193) all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 240.58/41.24 | (194) all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 240.58/41.24 | (195) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 240.58/41.24 | (196) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 240.58/41.24 | (197) all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 240.58/41.24 | (198) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 240.58/41.24 | (199) all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 240.58/41.24 | (200) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 240.58/41.24 | (201) all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 240.58/41.24 | (202) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 240.58/41.24 | (203) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 240.58/41.24 | (204) all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 240.58/41.24 |
% 240.58/41.24 | DELTA: instantiating (2) with fresh symbols all_56_0, all_56_1, all_56_2,
% 240.58/41.24 | all_56_3, all_56_4, all_56_5, all_56_6, all_56_7, all_56_8, all_56_9,
% 240.58/41.24 | all_56_10, all_56_11, all_56_12, all_56_13, all_56_14, all_56_15 gives:
% 240.58/41.25 | (205) ((all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 240.58/41.25 | e3) | (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3,
% 240.58/41.25 | e0) = e3)) & ((all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 =
% 240.58/41.25 | e3 & op(e2, e3) = e3) | (all_56_6 = e3 & op(e1, e3) = e3) |
% 240.58/41.25 | (all_56_12 = e3 & op(e0, e3) = e3)) & ((all_56_0 = e2 & op(e3, e3)
% 240.58/41.25 | = e2) | (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_4 = e2 &
% 240.58/41.25 | op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)) &
% 240.58/41.25 | ((all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 240.58/41.25 | e2) | (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 &
% 240.58/41.25 | op(e0, e3) = e2)) & ((all_56_0 = e1 & op(e3, e3) = e1) |
% 240.58/41.25 | (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_4 = e1 & op(e3, e1) =
% 240.58/41.25 | e1) | (all_56_9 = e1 & op(e3, e0) = e1)) & ((all_56_0 = e1 &
% 240.58/41.25 | op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_6
% 240.58/41.25 | = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)) &
% 240.58/41.25 | ((all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 240.58/41.25 | e0) | (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3,
% 240.58/41.25 | e0) = e0)) & ((all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 =
% 240.58/41.25 | e0 & op(e2, e3) = e0) | (all_56_6 = e0 & op(e1, e3) = e0) |
% 240.58/41.25 | (all_56_12 = e0 & op(e0, e3) = e0)) & ((all_56_1 = e3 & op(e3, e2)
% 240.58/41.25 | = e3) | (all_56_3 = e3 & op(e2, e2) = e3) | (all_56_7 = e3 &
% 240.58/41.25 | op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)) &
% 240.58/41.25 | ((all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 240.58/41.25 | e2) | (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 &
% 240.58/41.25 | op(e0, e2) = e2)) & ((all_56_1 = e1 & op(e3, e2) = e1) |
% 240.58/41.25 | (all_56_3 = e1 & op(e2, e2) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 240.58/41.25 | e1) | (all_56_13 = e1 & op(e0, e2) = e1)) & ((all_56_1 = e0 &
% 240.58/41.25 | op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) | (all_56_7
% 240.58/41.25 | = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)) &
% 240.58/41.25 | ((all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 240.58/41.25 | e3) | (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 &
% 240.58/41.25 | op(e2, e0) = e3)) & ((all_56_2 = e2 & op(e2, e3) = e2) |
% 240.58/41.25 | (all_56_3 = e2 & op(e2, e2) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 240.58/41.25 | e2) | (all_56_10 = e2 & op(e2, e0) = e2)) & ((all_56_2 = e1 &
% 240.58/41.25 | op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) | (all_56_5
% 240.58/41.25 | = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)) &
% 240.58/41.25 | ((all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 240.58/41.25 | e0) | (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 &
% 240.58/41.25 | op(e2, e0) = e0)) & ((all_56_4 = e3 & op(e3, e1) = e3) |
% 240.58/41.25 | (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_8 = e3 & op(e1, e1) =
% 240.58/41.25 | e3) | (all_56_14 = e3 & op(e0, e1) = e3)) & ((all_56_4 = e2 &
% 240.58/41.25 | op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_8
% 240.58/41.25 | = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)) &
% 240.58/41.25 | ((all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 240.58/41.25 | e1) | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 &
% 240.58/41.25 | op(e0, e1) = e1)) & ((all_56_4 = e0 & op(e3, e1) = e0) |
% 240.58/41.25 | (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_8 = e0 & op(e1, e1) =
% 240.58/41.25 | e0) | (all_56_14 = e0 & op(e0, e1) = e0)) & ((all_56_6 = e3 &
% 240.58/41.25 | op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_8
% 240.58/41.25 | = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)) &
% 240.58/41.25 | ((all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 240.58/41.25 | e2) | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 &
% 240.58/41.25 | op(e1, e0) = e2)) & ((all_56_6 = e1 & op(e1, e3) = e1) |
% 240.58/41.25 | (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_8 = e1 & op(e1, e1) =
% 240.58/41.25 | e1) | (all_56_11 = e1 & op(e1, e0) = e1)) & ((all_56_6 = e0 &
% 240.58/41.25 | op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_8
% 240.58/41.25 | = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) &
% 240.58/41.25 | ((all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 240.58/41.25 | e3) | (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 &
% 240.58/41.25 | op(e0, e0) = e3)) & ((all_56_9 = e2 & op(e3, e0) = e2) |
% 240.58/41.25 | (all_56_10 = e2 & op(e2, e0) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 240.58/41.25 | e2) | (all_56_15 = e2 & op(e0, e0) = e2)) & ((all_56_9 = e1 &
% 240.58/41.25 | op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 240.58/41.25 | (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 240.58/41.25 | e1)) & ((all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 &
% 240.58/41.25 | op(e0, e2) = e3) | (all_56_14 = e3 & op(e0, e1) = e3) |
% 240.58/41.25 | (all_56_15 = e3 & op(e0, e0) = e3)) & ((all_56_12 = e2 & op(e0, e3)
% 240.58/41.25 | = e2) | (all_56_13 = e2 & op(e0, e2) = e2) | (all_56_14 = e2 &
% 240.58/41.25 | op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)) &
% 240.58/41.25 | ((all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 240.58/41.25 | e1) | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 &
% 240.58/41.25 | op(e0, e0) = e1)) & ((all_56_15 = e0 & op(e0, e0) = e0) |
% 240.58/41.25 | (((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0)
% 240.58/41.25 | = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 =
% 240.58/41.25 | e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 240.58/41.25 | (all_56_14 = e0 & op(e0, e1) = e0))))
% 240.58/41.25 |
% 240.58/41.25 | ALPHA: (205) implies:
% 240.58/41.25 | (206) (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) =
% 240.58/41.25 | e0) | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 240.58/41.25 | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 240.58/41.25 | (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1)
% 240.58/41.25 | = e0)))
% 240.58/41.25 | (207) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 240.58/41.25 | e1) | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0,
% 240.58/41.25 | e0) = e1)
% 240.58/41.25 | (208) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 240.58/41.25 | e2) | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0,
% 240.58/41.25 | e0) = e2)
% 240.58/41.25 | (209) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 240.58/41.25 | e3) | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0,
% 240.58/41.25 | e0) = e3)
% 240.58/41.25 | (210) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 240.58/41.25 | e1) | (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0,
% 240.58/41.25 | e0) = e1)
% 240.58/41.25 | (211) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 240.58/41.25 | e2) | (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0,
% 240.58/41.25 | e0) = e2)
% 240.58/41.25 | (212) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 240.58/41.25 | e3) | (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0,
% 240.58/41.25 | e0) = e3)
% 240.58/41.25 | (213) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0)
% 240.58/41.25 | | (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 240.58/41.25 | e0)
% 240.58/41.25 | (214) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1)
% 240.58/41.25 | | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 240.58/41.25 | e1)
% 240.58/41.25 | (215) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2)
% 240.58/41.25 | | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 240.58/41.25 | e2)
% 240.58/41.25 | (216) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3)
% 240.58/41.25 | | (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 240.58/41.25 | e3)
% 240.58/41.25 | (217) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0)
% 240.58/41.25 | | (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 240.58/41.25 | e0)
% 240.58/41.25 | (218) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1)
% 240.58/41.25 | | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 240.58/41.25 | e1)
% 240.58/41.26 | (219) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2)
% 240.58/41.26 | | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 240.58/41.26 | e2)
% 240.58/41.26 | (220) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3)
% 240.58/41.26 | | (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 240.58/41.26 | e3)
% 240.58/41.26 | (221) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 240.58/41.26 | | (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 240.58/41.26 | e0)
% 240.58/41.26 | (222) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 240.58/41.26 | | (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 240.58/41.26 | e1)
% 240.58/41.26 | (223) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 240.58/41.26 | | (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 240.58/41.26 | e2)
% 240.58/41.26 | (224) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 240.58/41.26 | | (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 240.58/41.26 | e3)
% 240.58/41.26 | (225) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 240.58/41.26 | | (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 240.58/41.26 | e0)
% 240.58/41.26 | (226) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 240.58/41.26 | | (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 240.58/41.26 | e1)
% 240.58/41.26 | (227) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 240.58/41.26 | | (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 240.58/41.26 | e2)
% 240.58/41.26 | (228) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 240.58/41.26 | | (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 240.58/41.26 | e3)
% 240.58/41.26 | (229) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 240.58/41.26 | | (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 240.58/41.26 | e0)
% 240.58/41.26 | (230) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0)
% 240.58/41.26 | | (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 240.58/41.26 | e0)
% 240.58/41.26 | (231) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 240.58/41.26 | | (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 240.58/41.26 | e1)
% 240.58/41.26 | (232) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1)
% 240.58/41.26 | | (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) =
% 240.58/41.26 | e1)
% 240.58/41.26 | (233) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 240.58/41.26 | | (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 240.58/41.26 | e2)
% 240.58/41.26 | (234) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 240.58/41.26 | | (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 240.58/41.26 | e2)
% 240.58/41.26 | (235) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3)
% 240.58/41.26 | | (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 240.58/41.26 | e3)
% 240.58/41.26 | (236) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3)
% 240.58/41.26 | | (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 240.58/41.26 | e3)
% 240.58/41.26 |
% 240.58/41.26 | DELTA: instantiating (10) with fresh symbols all_57_0, all_57_1, all_57_2,
% 240.58/41.26 | all_57_3, all_57_4, all_57_5, all_57_6, all_57_7, all_57_8, all_57_9,
% 240.58/41.26 | all_57_10, all_57_11, all_57_12, all_57_13, all_57_14, all_57_15,
% 240.58/41.26 | all_57_16, all_57_17, all_57_18, all_57_19, all_57_20, all_57_21,
% 240.58/41.26 | all_57_22, all_57_23, all_57_24, all_57_25, all_57_26, all_57_27,
% 240.58/41.26 | all_57_28, all_57_29, all_57_30, all_57_31 gives:
% 240.58/41.27 | (237) ((all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 & all_57_3 = e0 &
% 240.58/41.27 | op(e3, all_57_19) = e2 & op(e3, all_57_22) = e1 & op(e3,
% 240.58/41.27 | all_57_25) = e0 & op(e3, all_57_26) = e3 & op(e3, e3) =
% 240.58/41.27 | all_57_26 & op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 240.58/41.27 | op(e3, e0) = all_57_25 & $i(all_57_19) & $i(all_57_22) &
% 240.58/41.27 | $i(all_57_25) & $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 240.58/41.27 | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 240.58/41.27 | $i(all_57_16))) & ((all_57_30 = e3 & op(e1, e1) = e3) | ( ~
% 240.58/41.27 | (all_57_17 = e1) & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 240.58/41.27 | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~ (all_57_18 = e0) &
% 240.58/41.27 | op(e0, e3) = all_57_18 & $i(all_57_18)))) | (all_57_4 = e3 &
% 240.58/41.27 | all_57_5 = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2, all_57_16)
% 240.58/41.27 | = e3 & op(e2, all_57_23) = e1 & op(e2, all_57_27) = e0 & op(e2,
% 240.58/41.27 | all_57_28) = e2 & op(e2, e3) = all_57_16 & op(e2, e2) =
% 240.58/41.27 | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0) = all_57_27 &
% 240.58/41.27 | $i(all_57_16) & $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 240.58/41.27 | ((all_57_26 = e2 & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 240.58/41.27 | op(e3, e2) = all_57_19 & $i(all_57_19))) & ((all_57_30 = e2 &
% 240.58/41.27 | op(e1, e1) = e2) | ( ~ (all_57_20 = e1) & op(e1, e2) =
% 240.58/41.27 | all_57_20 & $i(all_57_20))) & ((all_57_31 = e2 & op(e0, e0) =
% 240.58/41.27 | e2) | ( ~ (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 240.58/41.27 | $i(all_57_21)))) | (all_57_8 = e3 & all_57_9 = e2 & all_57_10
% 240.58/41.27 | = e1 & all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 240.58/41.27 | all_57_20) = e2 & op(e1, all_57_29) = e0 & op(e1, all_57_30) =
% 240.58/41.27 | e1 & op(e1, e3) = all_57_17 & op(e1, e2) = all_57_20 & op(e1, e1)
% 240.58/41.27 | = all_57_30 & op(e1, e0) = all_57_29 & $i(all_57_17) &
% 240.58/41.27 | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) & ((all_57_26 = e1
% 240.58/41.27 | & op(e3, e3) = e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 240.58/41.27 | all_57_22 & $i(all_57_22))) & ((all_57_28 = e1 & op(e2, e2) =
% 240.58/41.27 | e1) | ( ~ (all_57_23 = e2) & op(e2, e1) = all_57_23 &
% 240.58/41.27 | $i(all_57_23))) & ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 240.58/41.27 | (all_57_24 = e0) & op(e0, e1) = all_57_24 & $i(all_57_24))))
% 240.58/41.27 | | (all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 & all_57_15 =
% 240.58/41.27 | e0 & op(e0, all_57_18) = e3 & op(e0, all_57_21) = e2 & op(e0,
% 240.58/41.27 | all_57_24) = e1 & op(e0, all_57_31) = e0 & op(e0, e3) =
% 240.58/41.27 | all_57_18 & op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 240.58/41.27 | op(e0, e0) = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 240.58/41.27 | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0 & op(e3, e3) =
% 240.58/41.27 | e0) | ( ~ (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 240.58/41.27 | $i(all_57_25))) & ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 240.58/41.27 | (all_57_27 = e2) & op(e2, e0) = all_57_27 & $i(all_57_27))) &
% 240.58/41.27 | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~ (all_57_29 = e1) &
% 240.58/41.27 | op(e1, e0) = all_57_29 & $i(all_57_29))))) & ((all_57_16 = e2
% 240.58/41.27 | & all_57_30 = e3 & ~ (all_57_17 = e1) & ~ (all_57_28 = e3) &
% 240.58/41.27 | op(e2, e3) = e2 & op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 240.58/41.27 | & op(e1, e1) = e3 & $i(all_57_17) & $i(all_57_28)) | (all_57_16 =
% 240.58/41.27 | e2 & all_57_31 = e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 240.58/41.27 | op(e2, e3) = e2 & op(e2, e2) = all_57_28 & op(e0, e3) = all_57_18
% 240.58/41.27 | & op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_28)) | (all_57_17 =
% 240.58/41.27 | e1 & all_57_28 = e3 & ~ (all_57_16 = e2) & ~ (all_57_30 = e3) &
% 240.58/41.27 | op(e2, e3) = all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 240.58/41.27 | op(e1, e1) = all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 240.58/41.27 | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 = e0) & ~
% 240.58/41.27 | (all_57_30 = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 240.58/41.27 | op(e0, e3) = all_57_18 & op(e0, e0) = e3 & $i(all_57_18) &
% 240.58/41.27 | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20
% 240.58/41.27 | = e1) & ~ (all_57_26 = e2) & op(e3, e3) = all_57_26 & op(e3,
% 240.58/41.27 | e2) = e3 & op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 240.58/41.27 | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3 & all_57_31 = e2
% 240.58/41.27 | & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) & op(e3, e3) =
% 240.58/41.27 | all_57_26 & op(e3, e2) = e3 & op(e0, e2) = all_57_21 & op(e0, e0)
% 240.58/41.27 | = e2 & $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1 &
% 240.58/41.27 | all_57_26 = e2 & ~ (all_57_19 = e3) & ~ (all_57_30 = e2) &
% 240.58/41.27 | op(e3, e3) = e2 & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 240.58/41.27 | op(e1, e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 240.58/41.27 | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 240.58/41.27 | (all_57_30 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 240.58/41.27 | op(e0, e2) = all_57_21 & op(e0, e0) = e2 & $i(all_57_21) &
% 240.58/41.27 | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 = e1 & ~ (all_57_23
% 240.58/41.27 | = e2) & ~ (all_57_26 = e1) & op(e3, e3) = all_57_26 & op(e3,
% 240.58/41.27 | e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 240.58/41.27 | $i(all_57_23) & $i(all_57_26)) | (all_57_22 = e3 & all_57_31 = e1
% 240.58/41.27 | & ~ (all_57_24 = e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 240.58/41.27 | all_57_26 & op(e3, e1) = e3 & op(e0, e1) = all_57_24 & op(e0, e0)
% 240.58/41.27 | = e1 & $i(all_57_24) & $i(all_57_26)) | (all_57_23 = e2 &
% 240.58/41.27 | all_57_26 = e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 240.58/41.27 | op(e3, e3) = e1 & op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28
% 240.58/41.27 | & op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)) | (all_57_23 =
% 240.58/41.27 | e2 & all_57_31 = e1 & ~ (all_57_24 = e0) & ~ (all_57_28 = e1) &
% 240.58/41.27 | op(e2, e2) = all_57_28 & op(e2, e1) = e2 & op(e0, e1) = all_57_24
% 240.58/41.27 | & op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28)) | (all_57_25 =
% 240.58/41.27 | e3 & all_57_28 = e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 240.58/41.27 | op(e3, e3) = all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 240.58/41.27 | op(e2, e0) = all_57_27 & $i(all_57_26) & $i(all_57_27)) |
% 240.58/41.27 | (all_57_25 = e3 & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 240.58/41.27 | (all_57_29 = e1) & op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 240.58/41.27 | op(e1, e1) = e0 & op(e1, e0) = all_57_29 & $i(all_57_26) &
% 240.58/41.27 | $i(all_57_29)) | (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25
% 240.58/41.27 | = e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 240.58/41.27 | all_57_25 & op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 240.58/41.27 | $i(all_57_25) & $i(all_57_28)) | (all_57_26 = e0 & all_57_29 = e1
% 240.58/41.27 | & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 240.58/41.27 | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30 & op(e1, e0) = e1
% 240.58/41.27 | & $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 240.58/41.27 | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 240.58/41.27 | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 240.58/41.27 | all_57_29 & $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0 &
% 240.58/41.27 | all_57_29 = e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 240.58/41.27 | op(e2, e2) = e0 & op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 240.58/41.27 | & op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)) | (op(e0, e0)
% 240.58/41.27 | = all_57_31 & $i(all_57_31) & ((all_57_18 = e0 & all_57_28 = e3 &
% 240.58/41.27 | ~ (all_57_16 = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 240.58/41.27 | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 240.58/41.27 | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 = e3 & ~
% 240.58/41.27 | (all_57_17 = e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 240.58/41.27 | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 240.58/41.27 | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 = e2 & ~
% 240.58/41.27 | (all_57_19 = e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 240.58/41.27 | op(e3, e2) = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 240.58/41.27 | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 = e1) & ~
% 240.58/41.27 | (all_57_31 = e2) & op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 240.58/41.27 | op(e0, e2) = e0 & $i(all_57_20)) | (all_57_24 = e0 &
% 240.58/41.27 | all_57_26 = e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 240.58/41.27 | op(e3, e3) = e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 240.58/41.27 | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 = e1 & ~
% 240.58/41.27 | (all_57_23 = e2) & ~ (all_57_31 = e1) & op(e2, e2) = e1 &
% 240.58/41.27 | op(e2, e1) = all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))))
% 240.58/41.27 |
% 240.58/41.27 | ALPHA: (237) implies:
% 240.58/41.28 | (238) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 = e1) & ~
% 240.58/41.28 | (all_57_28 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 240.58/41.28 | op(e1, e3) = all_57_17 & op(e1, e1) = e3 & $i(all_57_17) &
% 240.58/41.28 | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 = e3 & ~ (all_57_18 =
% 240.58/41.28 | e0) & ~ (all_57_28 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 240.58/41.28 | all_57_28 & op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 240.58/41.28 | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1 & all_57_28 = e3 &
% 240.58/41.28 | ~ (all_57_16 = e2) & ~ (all_57_30 = e3) & op(e2, e3) = all_57_16
% 240.58/41.28 | & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 240.58/41.28 | $i(all_57_16) & $i(all_57_30)) | (all_57_17 = e1 & all_57_31 = e3 &
% 240.58/41.28 | ~ (all_57_18 = e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 240.58/41.28 | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 240.58/41.28 | $i(all_57_18) & $i(all_57_30)) | (all_57_19 = e3 & all_57_30 = e2 &
% 240.58/41.28 | ~ (all_57_20 = e1) & ~ (all_57_26 = e2) & op(e3, e3) = all_57_26
% 240.58/41.28 | & op(e3, e2) = e3 & op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 240.58/41.28 | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3 & all_57_31 = e2 &
% 240.58/41.28 | ~ (all_57_21 = e0) & ~ (all_57_26 = e2) & op(e3, e3) = all_57_26
% 240.58/41.28 | & op(e3, e2) = e3 & op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 240.58/41.28 | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1 & all_57_26 = e2 &
% 240.58/41.28 | ~ (all_57_19 = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 240.58/41.28 | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 240.58/41.28 | $i(all_57_19) & $i(all_57_30)) | (all_57_20 = e1 & all_57_31 = e2 &
% 240.58/41.28 | ~ (all_57_21 = e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 240.58/41.28 | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 240.58/41.28 | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3 & all_57_28 = e1 &
% 240.58/41.28 | ~ (all_57_23 = e2) & ~ (all_57_26 = e1) & op(e3, e3) = all_57_26
% 240.58/41.28 | & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 240.58/41.28 | $i(all_57_23) & $i(all_57_26)) | (all_57_22 = e3 & all_57_31 = e1 &
% 240.58/41.28 | ~ (all_57_24 = e0) & ~ (all_57_26 = e1) & op(e3, e3) = all_57_26
% 240.58/41.28 | & op(e3, e1) = e3 & op(e0, e1) = all_57_24 & op(e0, e0) = e1 &
% 240.58/41.28 | $i(all_57_24) & $i(all_57_26)) | (all_57_23 = e2 & all_57_26 = e1 &
% 240.58/41.28 | ~ (all_57_22 = e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 240.58/41.28 | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 240.58/41.28 | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2 & all_57_31 = e1 &
% 240.58/41.28 | ~ (all_57_24 = e0) & ~ (all_57_28 = e1) & op(e2, e2) = all_57_28
% 240.58/41.28 | & op(e2, e1) = e2 & op(e0, e1) = all_57_24 & op(e0, e0) = e1 &
% 240.58/41.28 | $i(all_57_24) & $i(all_57_28)) | (all_57_25 = e3 & all_57_28 = e0 &
% 240.58/41.28 | ~ (all_57_26 = e0) & ~ (all_57_27 = e2) & op(e3, e3) = all_57_26
% 240.58/41.28 | & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 240.58/41.28 | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3 & all_57_30 = e0 &
% 240.58/41.28 | ~ (all_57_26 = e0) & ~ (all_57_29 = e1) & op(e3, e3) = all_57_26
% 240.58/41.28 | & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 240.58/41.28 | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0 & all_57_27 = e2 &
% 240.58/41.28 | ~ (all_57_25 = e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 240.58/41.28 | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 240.58/41.28 | $i(all_57_25) & $i(all_57_28)) | (all_57_26 = e0 & all_57_29 = e1 &
% 240.58/41.28 | ~ (all_57_25 = e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 240.58/41.28 | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 240.58/41.28 | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2 & all_57_30 = e0 &
% 240.58/41.28 | ~ (all_57_28 = e0) & ~ (all_57_29 = e1) & op(e2, e2) = all_57_28
% 240.58/41.28 | & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 240.58/41.28 | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0 & all_57_29 = e1 &
% 240.58/41.28 | ~ (all_57_27 = e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 240.58/41.28 | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 240.58/41.28 | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 240.58/41.28 | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 240.58/41.28 | e2) & ~ (all_57_31 = e3) & op(e2, e3) = all_57_16 & op(e2,
% 240.58/41.28 | e2) = e3 & op(e0, e3) = e0 & $i(all_57_16)) | (all_57_18 = e0
% 240.58/41.28 | & all_57_30 = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 240.58/41.28 | op(e1, e3) = all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 240.58/41.28 | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 = e2 & ~
% 240.58/41.28 | (all_57_19 = e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 240.58/41.28 | op(e3, e2) = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 240.58/41.28 | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 = e1) & ~
% 240.58/41.28 | (all_57_31 = e2) & op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 240.58/41.28 | op(e0, e2) = e0 & $i(all_57_20)) | (all_57_24 = e0 & all_57_26
% 240.58/41.28 | = e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 240.58/41.28 | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0 & $i(all_57_22))
% 240.58/41.28 | | (all_57_24 = e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 240.58/41.28 | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 240.58/41.28 | op(e0, e1) = e0 & $i(all_57_23))))
% 240.58/41.28 | (239) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 & all_57_3 = e0 &
% 240.58/41.28 | op(e3, all_57_19) = e2 & op(e3, all_57_22) = e1 & op(e3, all_57_25)
% 240.58/41.28 | = e0 & op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 & op(e3, e2)
% 240.58/41.28 | = all_57_19 & op(e3, e1) = all_57_22 & op(e3, e0) = all_57_25 &
% 240.58/41.28 | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 240.58/41.28 | ((all_57_28 = e3 & op(e2, e2) = e3) | ( ~ (all_57_16 = e2) & op(e2,
% 240.58/41.28 | e3) = all_57_16 & $i(all_57_16))) & ((all_57_30 = e3 & op(e1,
% 240.58/41.28 | e1) = e3) | ( ~ (all_57_17 = e1) & op(e1, e3) = all_57_17 &
% 240.58/41.28 | $i(all_57_17))) & ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 240.58/41.28 | (all_57_18 = e0) & op(e0, e3) = all_57_18 & $i(all_57_18)))) |
% 240.58/41.28 | (all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 & all_57_7 = e0 &
% 240.58/41.28 | op(e2, all_57_16) = e3 & op(e2, all_57_23) = e1 & op(e2, all_57_27)
% 240.58/41.28 | = e0 & op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 & op(e2, e2)
% 240.58/41.28 | = all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0) = all_57_27 &
% 240.58/41.28 | $i(all_57_16) & $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 240.58/41.28 | ((all_57_26 = e2 & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) & op(e3,
% 240.58/41.28 | e2) = all_57_19 & $i(all_57_19))) & ((all_57_30 = e2 & op(e1,
% 240.58/41.28 | e1) = e2) | ( ~ (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 240.58/41.28 | $i(all_57_20))) & ((all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 240.58/41.28 | (all_57_21 = e0) & op(e0, e2) = all_57_21 & $i(all_57_21)))) |
% 240.58/41.28 | (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 & all_57_11 = e0 &
% 240.58/41.28 | op(e1, all_57_17) = e3 & op(e1, all_57_20) = e2 & op(e1, all_57_29)
% 240.58/41.28 | = e0 & op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 & op(e1, e2)
% 240.58/41.28 | = all_57_20 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_29 &
% 240.58/41.28 | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 240.58/41.28 | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~ (all_57_22 = e3) & op(e3,
% 240.58/41.28 | e1) = all_57_22 & $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 240.58/41.28 | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2, e1) = all_57_23 &
% 240.58/41.28 | $i(all_57_23))) & ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 240.58/41.28 | (all_57_24 = e0) & op(e0, e1) = all_57_24 & $i(all_57_24)))) |
% 240.58/41.28 | (all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0 &
% 240.58/41.28 | op(e0, all_57_18) = e3 & op(e0, all_57_21) = e2 & op(e0, all_57_24)
% 240.58/41.28 | = e1 & op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 & op(e0, e2)
% 240.58/41.28 | = all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0) = all_57_31 &
% 240.58/41.28 | $i(all_57_18) & $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 240.58/41.28 | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) & op(e3,
% 240.58/41.28 | e0) = all_57_25 & $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 240.58/41.28 | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 240.58/41.28 | $i(all_57_27))) & ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 240.58/41.28 | (all_57_29 = e1) & op(e1, e0) = all_57_29 & $i(all_57_29))))
% 240.58/41.28 |
% 240.91/41.28 | GROUND_INST: instantiating (function-axioms) with all_18_2, all_28_2, e0, e0,
% 240.91/41.28 | simplifying with (57), (72) gives:
% 240.91/41.28 | (240) all_28_2 = all_18_2
% 240.91/41.28 |
% 240.91/41.28 | GROUND_INST: instantiating (function-axioms) with all_16_2, all_28_2, e0, e0,
% 240.91/41.28 | simplifying with (54), (72) gives:
% 240.91/41.28 | (241) all_28_2 = all_16_2
% 240.91/41.28 |
% 240.91/41.28 | GROUND_INST: instantiating (function-axioms) with all_18_2, all_48_2, e0, e0,
% 240.91/41.28 | simplifying with (57), (102) gives:
% 240.91/41.28 | (242) all_48_2 = all_18_2
% 240.91/41.28 |
% 240.91/41.28 | GROUND_INST: instantiating (function-axioms) with all_50_2, all_52_15, e0, e0,
% 240.91/41.28 | simplifying with (105), (156) gives:
% 240.91/41.28 | (243) all_52_15 = all_50_2
% 240.91/41.28 |
% 240.91/41.28 | GROUND_INST: instantiating (function-axioms) with all_48_2, all_52_15, e0, e0,
% 240.91/41.28 | simplifying with (102), (156) gives:
% 240.91/41.28 | (244) all_52_15 = all_48_2
% 240.91/41.28 |
% 240.91/41.28 | GROUND_INST: instantiating (function-axioms) with all_52_15, all_54_15, e0,
% 240.91/41.28 | e0, simplifying with (156), (173) gives:
% 240.91/41.28 | (245) all_54_15 = all_52_15
% 240.91/41.28 |
% 240.91/41.28 | GROUND_INST: instantiating (function-axioms) with all_14_2, all_54_15, e0, e0,
% 240.91/41.28 | simplifying with (51), (173) gives:
% 240.91/41.28 | (246) all_54_15 = all_14_2
% 240.91/41.28 |
% 240.91/41.28 | GROUND_INST: instantiating (function-axioms) with all_52_11, all_54_14, e1,
% 240.91/41.28 | e0, simplifying with (157), (174) gives:
% 240.91/41.28 | (247) all_54_14 = all_52_11
% 240.91/41.28 |
% 240.91/41.28 | GROUND_INST: instantiating (function-axioms) with all_52_7, all_54_13, e2, e0,
% 240.91/41.28 | simplifying with (158), (175) gives:
% 240.91/41.28 | (248) all_54_13 = all_52_7
% 240.91/41.28 |
% 240.91/41.28 | GROUND_INST: instantiating (function-axioms) with all_52_3, all_54_12, e3, e0,
% 240.91/41.28 | simplifying with (159), (176) gives:
% 240.91/41.28 | (249) all_54_12 = all_52_3
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_52_14, all_54_11, e0,
% 240.91/41.29 | e1, simplifying with (160), (177) gives:
% 240.91/41.29 | (250) all_54_11 = all_52_14
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_10_2, all_22_2, e1, e1,
% 240.91/41.29 | simplifying with (45), (63) gives:
% 240.91/41.29 | (251) all_22_2 = all_10_2
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_38_2, all_52_10, e1, e1,
% 240.91/41.29 | simplifying with (87), (161) gives:
% 240.91/41.29 | (252) all_52_10 = all_38_2
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_30_2, all_52_10, e1, e1,
% 240.91/41.29 | simplifying with (75), (161) gives:
% 240.91/41.29 | (253) all_52_10 = all_30_2
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_22_2, all_52_10, e1, e1,
% 240.91/41.29 | simplifying with (63), (161) gives:
% 240.91/41.29 | (254) all_52_10 = all_22_2
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_52_10, all_54_10, e1,
% 240.91/41.29 | e1, simplifying with (161), (178) gives:
% 240.91/41.29 | (255) all_54_10 = all_52_10
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_34_2, all_54_10, e1, e1,
% 240.91/41.29 | simplifying with (81), (178) gives:
% 240.91/41.29 | (256) all_54_10 = all_34_2
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_20_2, all_54_10, e1, e1,
% 240.91/41.29 | simplifying with (60), (178) gives:
% 240.91/41.29 | (257) all_54_10 = all_20_2
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_52_6, all_54_9, e2, e1,
% 240.91/41.29 | simplifying with (162), (179) gives:
% 240.91/41.29 | (258) all_54_9 = all_52_6
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_52_2, all_54_8, e3, e1,
% 240.91/41.29 | simplifying with (163), (180) gives:
% 240.91/41.29 | (259) all_54_8 = all_52_2
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_52_13, all_54_7, e0, e2,
% 240.91/41.29 | simplifying with (164), (181) gives:
% 240.91/41.29 | (260) all_54_7 = all_52_13
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_52_9, all_54_6, e1, e2,
% 240.91/41.29 | simplifying with (165), (182) gives:
% 240.91/41.29 | (261) all_54_6 = all_52_9
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_24_2, all_32_2, e2, e2,
% 240.91/41.29 | simplifying with (66), (78) gives:
% 240.91/41.29 | (262) all_32_2 = all_24_2
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_32_2, all_36_2, e2, e2,
% 240.91/41.29 | simplifying with (78), (84) gives:
% 240.91/41.29 | (263) all_36_2 = all_32_2
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_36_2, all_40_2, e2, e2,
% 240.91/41.29 | simplifying with (84), (90) gives:
% 240.91/41.29 | (264) all_40_2 = all_36_2
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_44_2, all_52_5, e2, e2,
% 240.91/41.29 | simplifying with (96), (166) gives:
% 240.91/41.29 | (265) all_52_5 = all_44_2
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_40_2, all_52_5, e2, e2,
% 240.91/41.29 | simplifying with (90), (166) gives:
% 240.91/41.29 | (266) all_52_5 = all_40_2
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_52_5, all_54_5, e2, e2,
% 240.91/41.29 | simplifying with (166), (183) gives:
% 240.91/41.29 | (267) all_54_5 = all_52_5
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_4_2, all_54_5, e2, e2,
% 240.91/41.29 | simplifying with (36), (183) gives:
% 240.91/41.29 | (268) all_54_5 = all_4_2
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_52_1, all_54_4, e3, e2,
% 240.91/41.29 | simplifying with (167), (184) gives:
% 240.91/41.29 | (269) all_54_4 = all_52_1
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_52_12, all_54_3, e0, e3,
% 240.91/41.29 | simplifying with (168), (185) gives:
% 240.91/41.29 | (270) all_54_3 = all_52_12
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_52_8, all_54_2, e1, e3,
% 240.91/41.29 | simplifying with (169), (186) gives:
% 240.91/41.29 | (271) all_54_2 = all_52_8
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_52_4, all_54_1, e2, e3,
% 240.91/41.29 | simplifying with (170), (187) gives:
% 240.91/41.29 | (272) all_54_1 = all_52_4
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_26_2, all_42_2, e3, e3,
% 240.91/41.29 | simplifying with (69), (93) gives:
% 240.91/41.29 | (273) all_42_2 = all_26_2
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_12_2, all_42_2, e3, e3,
% 240.91/41.29 | simplifying with (48), (93) gives:
% 240.91/41.29 | (274) all_42_2 = all_12_2
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_42_2, all_46_2, e3, e3,
% 240.91/41.29 | simplifying with (93), (99) gives:
% 240.91/41.29 | (275) all_46_2 = all_42_2
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_12_2, all_52_0, e3, e3,
% 240.91/41.29 | simplifying with (48), (171) gives:
% 240.91/41.29 | (276) all_52_0 = all_12_2
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_8_2, all_52_0, e3, e3,
% 240.91/41.29 | simplifying with (42), (171) gives:
% 240.91/41.29 | (277) all_52_0 = all_8_2
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_46_2, all_54_0, e3, e3,
% 240.91/41.29 | simplifying with (99), (188) gives:
% 240.91/41.29 | (278) all_54_0 = all_46_2
% 240.91/41.29 |
% 240.91/41.29 | GROUND_INST: instantiating (function-axioms) with all_6_2, all_54_0, e3, e3,
% 240.91/41.29 | simplifying with (39), (188) gives:
% 240.91/41.29 | (279) all_54_0 = all_6_2
% 240.91/41.29 |
% 240.91/41.29 | COMBINE_EQS: (278), (279) imply:
% 240.91/41.29 | (280) all_46_2 = all_6_2
% 240.91/41.29 |
% 240.91/41.29 | SIMP: (280) implies:
% 240.91/41.29 | (281) all_46_2 = all_6_2
% 240.91/41.29 |
% 240.91/41.29 | COMBINE_EQS: (267), (268) imply:
% 240.91/41.29 | (282) all_52_5 = all_4_2
% 240.91/41.29 |
% 240.91/41.29 | SIMP: (282) implies:
% 240.91/41.29 | (283) all_52_5 = all_4_2
% 240.91/41.29 |
% 240.91/41.29 | COMBINE_EQS: (256), (257) imply:
% 240.91/41.29 | (284) all_34_2 = all_20_2
% 240.91/41.29 |
% 240.91/41.29 | COMBINE_EQS: (255), (256) imply:
% 240.91/41.29 | (285) all_52_10 = all_34_2
% 240.91/41.29 |
% 240.91/41.29 | SIMP: (285) implies:
% 240.91/41.29 | (286) all_52_10 = all_34_2
% 240.91/41.29 |
% 240.91/41.29 | COMBINE_EQS: (245), (246) imply:
% 240.91/41.29 | (287) all_52_15 = all_14_2
% 240.91/41.29 |
% 240.91/41.29 | SIMP: (287) implies:
% 240.91/41.29 | (288) all_52_15 = all_14_2
% 240.91/41.29 |
% 240.91/41.29 | COMBINE_EQS: (276), (277) imply:
% 240.91/41.29 | (289) all_12_2 = all_8_2
% 240.91/41.29 |
% 240.91/41.29 | SIMP: (289) implies:
% 240.91/41.29 | (290) all_12_2 = all_8_2
% 240.91/41.29 |
% 240.91/41.29 | COMBINE_EQS: (265), (266) imply:
% 240.91/41.29 | (291) all_44_2 = all_40_2
% 240.91/41.29 |
% 240.91/41.29 | COMBINE_EQS: (265), (283) imply:
% 240.91/41.29 | (292) all_44_2 = all_4_2
% 240.91/41.29 |
% 240.91/41.29 | COMBINE_EQS: (252), (253) imply:
% 240.91/41.29 | (293) all_38_2 = all_30_2
% 240.91/41.29 |
% 240.91/41.29 | COMBINE_EQS: (252), (254) imply:
% 240.91/41.29 | (294) all_38_2 = all_22_2
% 240.91/41.29 |
% 240.91/41.29 | COMBINE_EQS: (252), (286) imply:
% 240.91/41.29 | (295) all_38_2 = all_34_2
% 240.91/41.29 |
% 240.91/41.29 | COMBINE_EQS: (243), (244) imply:
% 240.91/41.29 | (296) all_50_2 = all_48_2
% 240.91/41.29 |
% 240.91/41.29 | COMBINE_EQS: (243), (288) imply:
% 240.91/41.29 | (297) all_50_2 = all_14_2
% 240.91/41.29 |
% 240.91/41.29 | COMBINE_EQS: (296), (297) imply:
% 240.91/41.29 | (298) all_48_2 = all_14_2
% 240.91/41.29 |
% 240.91/41.29 | SIMP: (298) implies:
% 240.91/41.29 | (299) all_48_2 = all_14_2
% 240.91/41.29 |
% 240.91/41.29 | COMBINE_EQS: (242), (299) imply:
% 240.91/41.29 | (300) all_18_2 = all_14_2
% 240.91/41.29 |
% 240.91/41.29 | SIMP: (300) implies:
% 240.91/41.29 | (301) all_18_2 = all_14_2
% 240.91/41.29 |
% 240.91/41.29 | COMBINE_EQS: (275), (281) imply:
% 240.91/41.29 | (302) all_42_2 = all_6_2
% 240.91/41.29 |
% 240.91/41.29 | SIMP: (302) implies:
% 240.91/41.29 | (303) all_42_2 = all_6_2
% 240.91/41.29 |
% 240.91/41.29 | COMBINE_EQS: (291), (292) imply:
% 240.91/41.29 | (304) all_40_2 = all_4_2
% 240.91/41.29 |
% 240.91/41.29 | SIMP: (304) implies:
% 240.91/41.29 | (305) all_40_2 = all_4_2
% 240.91/41.29 |
% 240.91/41.29 | COMBINE_EQS: (273), (274) imply:
% 240.91/41.29 | (306) all_26_2 = all_12_2
% 240.91/41.29 |
% 240.91/41.29 | COMBINE_EQS: (273), (303) imply:
% 240.91/41.29 | (307) all_26_2 = all_6_2
% 240.91/41.30 |
% 240.91/41.30 | COMBINE_EQS: (264), (305) imply:
% 240.91/41.30 | (308) all_36_2 = all_4_2
% 240.91/41.30 |
% 240.91/41.30 | SIMP: (308) implies:
% 240.91/41.30 | (309) all_36_2 = all_4_2
% 240.91/41.30 |
% 240.91/41.30 | COMBINE_EQS: (293), (294) imply:
% 240.91/41.30 | (310) all_30_2 = all_22_2
% 240.91/41.30 |
% 240.91/41.30 | COMBINE_EQS: (293), (295) imply:
% 240.91/41.30 | (311) all_34_2 = all_30_2
% 240.91/41.30 |
% 240.91/41.30 | SIMP: (311) implies:
% 240.91/41.30 | (312) all_34_2 = all_30_2
% 240.91/41.30 |
% 240.91/41.30 | COMBINE_EQS: (263), (309) imply:
% 240.91/41.30 | (313) all_32_2 = all_4_2
% 240.91/41.30 |
% 240.91/41.30 | SIMP: (313) implies:
% 240.91/41.30 | (314) all_32_2 = all_4_2
% 240.91/41.30 |
% 240.91/41.30 | COMBINE_EQS: (284), (312) imply:
% 240.91/41.30 | (315) all_30_2 = all_20_2
% 240.91/41.30 |
% 240.91/41.30 | SIMP: (315) implies:
% 240.91/41.30 | (316) all_30_2 = all_20_2
% 240.91/41.30 |
% 240.91/41.30 | COMBINE_EQS: (262), (314) imply:
% 240.91/41.30 | (317) all_24_2 = all_4_2
% 240.91/41.30 |
% 240.91/41.30 | SIMP: (317) implies:
% 240.91/41.30 | (318) all_24_2 = all_4_2
% 240.91/41.30 |
% 240.91/41.30 | COMBINE_EQS: (310), (316) imply:
% 240.91/41.30 | (319) all_22_2 = all_20_2
% 240.91/41.30 |
% 240.91/41.30 | SIMP: (319) implies:
% 240.91/41.30 | (320) all_22_2 = all_20_2
% 240.91/41.30 |
% 240.91/41.30 | COMBINE_EQS: (240), (241) imply:
% 240.91/41.30 | (321) all_18_2 = all_16_2
% 240.91/41.30 |
% 240.91/41.30 | SIMP: (321) implies:
% 240.91/41.30 | (322) all_18_2 = all_16_2
% 240.91/41.30 |
% 240.91/41.30 | COMBINE_EQS: (306), (307) imply:
% 240.91/41.30 | (323) all_12_2 = all_6_2
% 240.91/41.30 |
% 240.91/41.30 | SIMP: (323) implies:
% 240.91/41.30 | (324) all_12_2 = all_6_2
% 240.91/41.30 |
% 240.91/41.30 | COMBINE_EQS: (251), (320) imply:
% 240.91/41.30 | (325) all_20_2 = all_10_2
% 240.91/41.30 |
% 240.91/41.30 | COMBINE_EQS: (301), (322) imply:
% 240.91/41.30 | (326) all_16_2 = all_14_2
% 240.91/41.30 |
% 240.91/41.30 | SIMP: (326) implies:
% 240.91/41.30 | (327) all_16_2 = all_14_2
% 240.91/41.30 |
% 240.91/41.30 | COMBINE_EQS: (290), (324) imply:
% 240.91/41.30 | (328) all_8_2 = all_6_2
% 240.91/41.30 |
% 240.91/41.30 | SIMP: (328) implies:
% 240.91/41.30 | (329) all_8_2 = all_6_2
% 240.91/41.30 |
% 240.91/41.30 | COMBINE_EQS: (241), (327) imply:
% 240.91/41.30 | (330) all_28_2 = all_14_2
% 240.91/41.30 |
% 240.91/41.30 | COMBINE_EQS: (316), (325) imply:
% 240.91/41.30 | (331) all_30_2 = all_10_2
% 240.91/41.30 |
% 240.91/41.30 | COMBINE_EQS: (284), (325) imply:
% 240.91/41.30 | (332) all_34_2 = all_10_2
% 240.91/41.30 |
% 240.91/41.30 | COMBINE_EQS: (293), (331) imply:
% 240.91/41.30 | (333) all_38_2 = all_10_2
% 240.91/41.30 |
% 240.91/41.30 | COMBINE_EQS: (252), (333) imply:
% 240.91/41.30 | (334) all_52_10 = all_10_2
% 240.91/41.30 |
% 240.91/41.30 | COMBINE_EQS: (277), (329) imply:
% 240.91/41.30 | (335) all_52_0 = all_6_2
% 240.91/41.30 |
% 240.91/41.30 | COMBINE_EQS: (256), (332) imply:
% 240.91/41.30 | (336) all_54_10 = all_10_2
% 240.91/41.30 |
% 240.91/41.30 | REDUCE: (155), (335) imply:
% 240.91/41.30 | (337) ~ (all_52_1 = all_6_2)
% 240.91/41.30 |
% 240.91/41.30 | SIMP: (337) implies:
% 240.91/41.30 | (338) ~ (all_52_1 = all_6_2)
% 240.91/41.30 |
% 240.91/41.30 | REDUCE: (154), (335) imply:
% 240.91/41.30 | (339) ~ (all_52_2 = all_6_2)
% 240.91/41.30 |
% 240.91/41.30 | SIMP: (339) implies:
% 240.91/41.30 | (340) ~ (all_52_2 = all_6_2)
% 240.91/41.30 |
% 240.91/41.30 | REDUCE: (153), (335) imply:
% 240.91/41.30 | (341) ~ (all_52_3 = all_6_2)
% 240.91/41.30 |
% 240.91/41.30 | SIMP: (341) implies:
% 240.91/41.30 | (342) ~ (all_52_3 = all_6_2)
% 240.91/41.30 |
% 240.91/41.30 | REDUCE: (152), (335) imply:
% 240.91/41.30 | (343) ~ (all_52_4 = all_6_2)
% 240.91/41.30 |
% 240.91/41.30 | SIMP: (343) implies:
% 240.91/41.30 | (344) ~ (all_52_4 = all_6_2)
% 240.91/41.30 |
% 240.91/41.30 | REDUCE: (151), (335) imply:
% 240.91/41.30 | (345) ~ (all_52_8 = all_6_2)
% 240.91/41.30 |
% 240.91/41.30 | SIMP: (345) implies:
% 240.91/41.30 | (346) ~ (all_52_8 = all_6_2)
% 240.91/41.30 |
% 240.91/41.30 | REDUCE: (150), (335) imply:
% 240.91/41.30 | (347) ~ (all_52_12 = all_6_2)
% 240.91/41.30 |
% 240.91/41.30 | SIMP: (347) implies:
% 240.91/41.30 | (348) ~ (all_52_12 = all_6_2)
% 240.91/41.30 |
% 240.91/41.30 | REDUCE: (147), (283) imply:
% 240.91/41.30 | (349) ~ (all_52_1 = all_4_2)
% 240.91/41.30 |
% 240.91/41.30 | REDUCE: (142), (334) imply:
% 240.91/41.30 | (350) ~ (all_52_2 = all_10_2)
% 240.91/41.30 |
% 240.91/41.30 | REDUCE: (138), (288) imply:
% 240.91/41.30 | (351) ~ (all_52_3 = all_14_2)
% 240.91/41.30 |
% 240.91/41.30 | REDUCE: (137), (283) imply:
% 240.91/41.30 | (352) ~ (all_52_4 = all_4_2)
% 240.91/41.30 |
% 240.91/41.30 | REDUCE: (132), (283) imply:
% 240.91/41.30 | (353) ~ (all_52_6 = all_4_2)
% 240.91/41.30 |
% 240.91/41.30 | SIMP: (353) implies:
% 240.91/41.30 | (354) ~ (all_52_6 = all_4_2)
% 240.91/41.30 |
% 240.91/41.30 | REDUCE: (131), (283) imply:
% 240.91/41.30 | (355) ~ (all_52_7 = all_4_2)
% 240.91/41.30 |
% 240.91/41.30 | SIMP: (355) implies:
% 240.91/41.30 | (356) ~ (all_52_7 = all_4_2)
% 240.91/41.30 |
% 240.91/41.30 | REDUCE: (130), (283) imply:
% 240.91/41.30 | (357) ~ (all_52_9 = all_4_2)
% 240.91/41.30 |
% 240.91/41.30 | SIMP: (357) implies:
% 240.91/41.30 | (358) ~ (all_52_9 = all_4_2)
% 240.91/41.30 |
% 240.91/41.30 | REDUCE: (129), (283) imply:
% 240.91/41.30 | (359) ~ (all_52_13 = all_4_2)
% 240.91/41.30 |
% 240.91/41.30 | SIMP: (359) implies:
% 240.91/41.30 | (360) ~ (all_52_13 = all_4_2)
% 240.91/41.30 |
% 240.91/41.30 | REDUCE: (127), (334) imply:
% 240.91/41.30 | (361) ~ (all_52_6 = all_10_2)
% 240.91/41.30 |
% 240.91/41.30 | REDUCE: (124), (288) imply:
% 240.91/41.30 | (362) ~ (all_52_7 = all_14_2)
% 240.91/41.30 |
% 240.91/41.30 | REDUCE: (122), (334) imply:
% 240.91/41.30 | (363) ~ (all_52_8 = all_10_2)
% 240.91/41.30 |
% 240.91/41.30 | REDUCE: (119), (334) imply:
% 240.91/41.30 | (364) ~ (all_52_9 = all_10_2)
% 240.91/41.30 |
% 240.91/41.30 | REDUCE: (116), (334) imply:
% 240.91/41.30 | (365) ~ (all_52_11 = all_10_2)
% 240.91/41.30 |
% 240.91/41.30 | SIMP: (365) implies:
% 240.91/41.30 | (366) ~ (all_52_11 = all_10_2)
% 240.91/41.30 |
% 240.91/41.30 | REDUCE: (115), (334) imply:
% 240.91/41.30 | (367) ~ (all_52_14 = all_10_2)
% 240.91/41.30 |
% 240.91/41.30 | SIMP: (367) implies:
% 240.91/41.30 | (368) ~ (all_52_14 = all_10_2)
% 240.91/41.30 |
% 240.91/41.30 | REDUCE: (114), (288) imply:
% 240.91/41.30 | (369) ~ (all_52_11 = all_14_2)
% 240.91/41.30 |
% 240.91/41.30 | REDUCE: (111), (288) imply:
% 240.91/41.30 | (370) ~ (all_52_12 = all_14_2)
% 240.91/41.30 |
% 240.91/41.30 | REDUCE: (109), (288) imply:
% 240.91/41.30 | (371) ~ (all_52_13 = all_14_2)
% 240.91/41.30 |
% 240.91/41.30 | REDUCE: (108), (288) imply:
% 240.91/41.30 | (372) ~ (all_52_14 = all_14_2)
% 240.91/41.30 |
% 240.91/41.30 | BETA: splitting (37) gives:
% 240.91/41.30 |
% 240.91/41.30 | Case 1:
% 240.91/41.30 | |
% 240.91/41.30 | | (373) ~ (all_4_2 = e3)
% 240.91/41.30 | |
% 240.91/41.30 | | BETA: splitting (40) gives:
% 240.91/41.30 | |
% 240.91/41.30 | | Case 1:
% 240.91/41.30 | | |
% 240.91/41.30 | | | (374) ~ (all_6_2 = e0)
% 240.91/41.30 | | |
% 240.91/41.30 | | | BETA: splitting (46) gives:
% 240.91/41.30 | | |
% 240.91/41.30 | | | Case 1:
% 240.91/41.30 | | | |
% 240.91/41.30 | | | | (375) ~ (all_10_2 = e2)
% 240.91/41.30 | | | |
% 240.91/41.30 | | | | BETA: splitting (49) gives:
% 240.91/41.30 | | | |
% 240.91/41.30 | | | | Case 1:
% 240.91/41.30 | | | | |
% 240.91/41.30 | | | | | (376) ~ (all_12_2 = e2)
% 240.91/41.30 | | | | |
% 240.91/41.30 | | | | | REDUCE: (324), (376) imply:
% 240.91/41.30 | | | | | (377) ~ (all_6_2 = e2)
% 240.91/41.30 | | | | |
% 240.91/41.30 | | | | | BETA: splitting (52) gives:
% 240.91/41.30 | | | | |
% 240.91/41.30 | | | | | Case 1:
% 240.91/41.30 | | | | | |
% 240.91/41.30 | | | | | | (378) ~ (all_14_2 = e1)
% 240.91/41.30 | | | | | |
% 240.91/41.30 | | | | | | BETA: splitting (58) gives:
% 240.91/41.30 | | | | | |
% 240.91/41.30 | | | | | | Case 1:
% 240.91/41.30 | | | | | | |
% 240.91/41.30 | | | | | | | (379) ~ (all_18_2 = e3)
% 240.91/41.30 | | | | | | |
% 240.91/41.30 | | | | | | | REDUCE: (301), (379) imply:
% 240.91/41.30 | | | | | | | (380) ~ (all_14_2 = e3)
% 240.91/41.30 | | | | | | |
% 240.91/41.30 | | | | | | | BETA: splitting (61) gives:
% 240.91/41.30 | | | | | | |
% 240.91/41.30 | | | | | | | Case 1:
% 240.91/41.30 | | | | | | | |
% 240.91/41.30 | | | | | | | | (381) ~ (all_20_2 = e3)
% 240.91/41.30 | | | | | | | |
% 240.91/41.30 | | | | | | | | REDUCE: (325), (381) imply:
% 240.91/41.30 | | | | | | | | (382) ~ (all_10_2 = e3)
% 240.91/41.30 | | | | | | | |
% 240.91/41.30 | | | | | | | | BETA: splitting (64) gives:
% 240.91/41.30 | | | | | | | |
% 240.91/41.30 | | | | | | | | Case 1:
% 240.91/41.30 | | | | | | | | |
% 240.91/41.30 | | | | | | | | | (383) ~ (all_22_2 = e0)
% 240.91/41.30 | | | | | | | | |
% 240.91/41.30 | | | | | | | | | REDUCE: (251), (383) imply:
% 240.91/41.30 | | | | | | | | | (384) ~ (all_10_2 = e0)
% 240.91/41.30 | | | | | | | | |
% 240.91/41.30 | | | | | | | | | BETA: splitting (194) gives:
% 240.91/41.30 | | | | | | | | |
% 240.91/41.30 | | | | | | | | | Case 1:
% 240.91/41.30 | | | | | | | | | |
% 240.91/41.30 | | | | | | | | | | (385) all_54_10 = e3
% 240.91/41.30 | | | | | | | | | |
% 240.91/41.30 | | | | | | | | | | COMBINE_EQS: (336), (385) imply:
% 240.91/41.30 | | | | | | | | | | (386) all_10_2 = e3
% 240.91/41.30 | | | | | | | | | |
% 240.91/41.30 | | | | | | | | | | REDUCE: (382), (386) imply:
% 240.91/41.30 | | | | | | | | | | (387) $false
% 240.91/41.31 | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | CLOSE: (387) is inconsistent.
% 240.91/41.31 | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | Case 2:
% 240.91/41.31 | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | (388) ~ (all_54_10 = e3)
% 240.91/41.31 | | | | | | | | | | (389) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 240.91/41.31 | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | BETA: splitting (389) gives:
% 240.91/41.31 | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | Case 1:
% 240.91/41.31 | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | (390) all_54_10 = e2
% 240.91/41.31 | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | COMBINE_EQS: (336), (390) imply:
% 240.91/41.31 | | | | | | | | | | | (391) all_10_2 = e2
% 240.91/41.31 | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | REDUCE: (375), (391) imply:
% 240.91/41.31 | | | | | | | | | | | (392) $false
% 240.91/41.31 | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | CLOSE: (392) is inconsistent.
% 240.91/41.31 | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | Case 2:
% 240.91/41.31 | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | (393) ~ (all_54_10 = e2)
% 240.91/41.31 | | | | | | | | | | | (394) all_54_10 = e1 | all_54_10 = e0
% 240.91/41.31 | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | BETA: splitting (394) gives:
% 240.91/41.31 | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | Case 1:
% 240.91/41.31 | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | (395) all_54_10 = e1
% 240.91/41.31 | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | COMBINE_EQS: (336), (395) imply:
% 240.91/41.31 | | | | | | | | | | | | (396) all_10_2 = e1
% 240.91/41.31 | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | REDUCE: (361), (396) imply:
% 240.91/41.31 | | | | | | | | | | | | (397) ~ (all_52_6 = e1)
% 240.91/41.31 | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | REDUCE: (366), (396) imply:
% 240.91/41.31 | | | | | | | | | | | | (398) ~ (all_52_11 = e1)
% 240.91/41.31 | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | REDUCE: (368), (396) imply:
% 240.91/41.31 | | | | | | | | | | | | (399) ~ (all_52_14 = e1)
% 240.91/41.31 | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | REDUCE: (382), (396) imply:
% 240.91/41.31 | | | | | | | | | | | | (400) ~ (e3 = e1)
% 240.91/41.31 | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | REDUCE: (375), (396) imply:
% 240.91/41.31 | | | | | | | | | | | | (401) ~ (e2 = e1)
% 240.91/41.31 | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | REDUCE: (45), (396) imply:
% 240.91/41.31 | | | | | | | | | | | | (402) op(e1, e1) = e1
% 240.91/41.31 | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | BETA: splitting (67) gives:
% 240.91/41.31 | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | Case 1:
% 240.91/41.31 | | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | | (403) ~ (all_24_2 = e1)
% 240.91/41.31 | | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | | REDUCE: (318), (403) imply:
% 240.91/41.31 | | | | | | | | | | | | | (404) ~ (all_4_2 = e1)
% 240.91/41.31 | | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | | BETA: splitting (70) gives:
% 240.91/41.31 | | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | | Case 1:
% 240.91/41.31 | | | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | | | (405) ~ (all_26_2 = e1)
% 240.91/41.31 | | | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | | | REDUCE: (307), (405) imply:
% 240.91/41.31 | | | | | | | | | | | | | | (406) ~ (all_6_2 = e1)
% 240.91/41.31 | | | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 240.91/41.31 | | | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | | | Case 1:
% 240.91/41.31 | | | | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | | | | (407) all_54_0 = e3
% 240.91/41.31 | | | | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | | | | COMBINE_EQS: (279), (407) imply:
% 240.91/41.31 | | | | | | | | | | | | | | | (408) all_6_2 = e3
% 240.91/41.31 | | | | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | | | | REDUCE: (344), (408) imply:
% 240.91/41.31 | | | | | | | | | | | | | | | (409) ~ (all_52_4 = e3)
% 240.91/41.31 | | | | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | | | | REDUCE: (348), (408) imply:
% 240.91/41.31 | | | | | | | | | | | | | | | (410) ~ (all_52_12 = e3)
% 240.91/41.31 | | | | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | | | | REDUCE: (39), (408) imply:
% 240.91/41.31 | | | | | | | | | | | | | | | (411) op(e3, e3) = e3
% 240.91/41.31 | | | | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 240.91/41.31 | | | | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | | | | Case 1:
% 240.91/41.31 | | | | | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | | | | | (412) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 240.91/41.31 | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 240.91/41.31 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 240.91/41.31 | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 240.91/41.31 | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 240.91/41.31 | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 240.91/41.31 | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 240.91/41.31 | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 240.91/41.31 | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 240.91/41.31 | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 240.91/41.31 | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 240.91/41.31 | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 240.91/41.31 | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 240.91/41.31 | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 240.91/41.31 | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 240.91/41.31 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 240.91/41.31 | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 240.91/41.31 | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 240.91/41.31 | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 240.91/41.31 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 240.91/41.31 | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 240.91/41.31 | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 240.91/41.31 | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 240.91/41.31 | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 240.91/41.31 | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 240.91/41.31 | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 240.91/41.31 | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 240.91/41.31 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 240.91/41.31 | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 240.91/41.31 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 240.91/41.31 | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 240.91/41.31 | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 240.91/41.31 | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 240.91/41.31 | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 240.91/41.31 | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 240.91/41.31 | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 240.91/41.31 | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 240.91/41.31 | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 240.91/41.31 | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 240.91/41.31 | | | | | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | | | | | BETA: splitting (412) gives:
% 240.91/41.31 | | | | | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.31 | | | | | | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | | | | | | (413) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 240.91/41.31 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 240.91/41.31 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 240.91/41.31 | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 240.91/41.31 | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 240.91/41.31 | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 240.91/41.31 | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 240.91/41.31 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 240.91/41.31 | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 240.91/41.31 | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 240.91/41.31 | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 240.91/41.31 | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 240.91/41.31 | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 240.91/41.31 | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 240.91/41.31 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 240.91/41.31 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 240.91/41.31 | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 240.91/41.31 | | | | | | | | | | | | | | | | | $i(all_57_30))
% 240.91/41.31 | | | | | | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | | | | | | BETA: splitting (413) gives:
% 240.91/41.31 | | | | | | | | | | | | | | | | |
% 240.91/41.31 | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.31 | | | | | | | | | | | | | | | | | |
% 240.91/41.32 | | | | | | | | | | | | | | | | | | (414) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 240.91/41.32 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 240.91/41.32 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 240.91/41.32 | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 240.91/41.32 | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 240.91/41.32 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 240.91/41.32 | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 240.91/41.32 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 240.91/41.32 | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 240.91/41.32 | | | | | | | | | | | | | | | | | |
% 240.91/41.32 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (380), (402), (414), (function-axioms)
% 240.91/41.32 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1873.
% 240.91/41.32 | | | | | | | | | | | | | | | | | |
% 240.91/41.32 | | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.32 | | | | | | | | | | | | | | | | | |
% 240.91/41.32 | | | | | | | | | | | | | | | | | | (415) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 240.91/41.32 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 240.91/41.32 | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 240.91/41.32 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 240.91/41.32 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 240.91/41.32 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 240.91/41.32 | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 240.91/41.32 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 240.91/41.32 | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 240.91/41.32 | | | | | | | | | | | | | | | | | |
% 240.91/41.32 | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (51), (373), (380), (415), (function-axioms)
% 240.91/41.32 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1871.
% 240.91/41.32 | | | | | | | | | | | | | | | | | |
% 240.91/41.32 | | | | | | | | | | | | | | | | | End of split
% 240.91/41.32 | | | | | | | | | | | | | | | | |
% 240.91/41.32 | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.32 | | | | | | | | | | | | | | | | |
% 240.91/41.32 | | | | | | | | | | | | | | | | | (416) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 240.91/41.32 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 240.91/41.32 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 240.91/41.32 | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 240.91/41.32 | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 240.91/41.32 | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 240.91/41.32 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 240.91/41.32 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 240.91/41.32 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 240.91/41.32 | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 240.91/41.32 | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 240.91/41.32 | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 240.91/41.32 | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 240.91/41.32 | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 240.91/41.32 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 240.91/41.32 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 240.91/41.32 | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 240.91/41.32 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 240.91/41.32 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 240.91/41.32 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 240.91/41.32 | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 240.91/41.32 | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 240.91/41.32 | | | | | | | | | | | | | | | | |
% 240.91/41.32 | | | | | | | | | | | | | | | | | BETA: splitting (416) gives:
% 240.91/41.32 | | | | | | | | | | | | | | | | |
% 240.91/41.32 | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.32 | | | | | | | | | | | | | | | | | |
% 240.91/41.32 | | | | | | | | | | | | | | | | | | (417) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 240.91/41.32 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 240.91/41.32 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 240.91/41.32 | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 240.91/41.32 | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 240.91/41.32 | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 240.91/41.32 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 240.91/41.32 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 240.91/41.32 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 240.91/41.32 | | | | | | | | | | | | | | | | | |
% 240.91/41.32 | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (409), (417), (function-axioms) are
% 240.91/41.32 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 240.91/41.32 | | | | | | | | | | | | | | | | | |
% 240.91/41.32 | | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.32 | | | | | | | | | | | | | | | | | |
% 240.91/41.32 | | | | | | | | | | | | | | | | | | (418) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 240.91/41.32 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 240.91/41.32 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 240.91/41.32 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 240.91/41.32 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 240.91/41.32 | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 240.91/41.32 | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 240.91/41.32 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 240.91/41.32 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 240.91/41.32 | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 240.91/41.32 | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 240.91/41.32 | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 240.91/41.32 | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 240.91/41.32 | | | | | | | | | | | | | | | | | |
% 240.91/41.32 | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (162), (397), (404), (418),
% 240.91/41.32 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 240.91/41.32 | | | | | | | | | | | | | | | | | | #1866.
% 240.91/41.32 | | | | | | | | | | | | | | | | | |
% 240.91/41.32 | | | | | | | | | | | | | | | | | End of split
% 240.91/41.32 | | | | | | | | | | | | | | | | |
% 240.91/41.32 | | | | | | | | | | | | | | | | End of split
% 240.91/41.32 | | | | | | | | | | | | | | | |
% 240.91/41.32 | | | | | | | | | | | | | | | Case 2:
% 240.91/41.32 | | | | | | | | | | | | | | | |
% 240.91/41.32 | | | | | | | | | | | | | | | | (419) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 240.91/41.32 | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 240.91/41.32 | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 240.91/41.32 | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 240.91/41.32 | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 240.91/41.32 | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 240.91/41.32 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 240.91/41.32 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 240.91/41.32 | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 240.91/41.32 | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 240.91/41.32 | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 240.91/41.32 | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 240.91/41.32 | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 240.91/41.32 | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 240.91/41.32 | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 240.91/41.32 | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 240.91/41.32 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 240.91/41.32 | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 240.91/41.32 | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 240.91/41.32 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 240.91/41.32 | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 240.91/41.32 | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 240.91/41.32 | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 240.91/41.32 | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 240.91/41.32 | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 240.91/41.32 | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 240.91/41.32 | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 240.91/41.32 | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 240.91/41.32 | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 240.91/41.32 | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 240.91/41.32 | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 240.91/41.32 | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 240.91/41.32 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 240.91/41.32 | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 240.91/41.32 | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 240.91/41.32 | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 240.91/41.32 | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 240.91/41.32 | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 240.91/41.32 | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 240.91/41.32 | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 240.91/41.32 | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 240.91/41.32 | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 240.91/41.32 | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 240.91/41.32 | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 240.91/41.32 | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 240.91/41.32 | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 240.91/41.32 | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 240.91/41.32 | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 240.91/41.32 | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 240.91/41.32 | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 240.91/41.32 | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 240.91/41.32 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 240.91/41.32 | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 240.91/41.32 | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 240.91/41.32 | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 240.91/41.32 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 240.91/41.32 | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 240.91/41.32 | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 240.91/41.32 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 240.91/41.32 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 240.91/41.32 | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 240.91/41.32 | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 240.91/41.32 | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 240.91/41.32 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 240.91/41.32 | | | | | | | | | | | | | | | |
% 240.91/41.32 | | | | | | | | | | | | | | | | BETA: splitting (419) gives:
% 240.91/41.32 | | | | | | | | | | | | | | | |
% 240.91/41.32 | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.32 | | | | | | | | | | | | | | | | |
% 240.91/41.33 | | | | | | | | | | | | | | | | | (420) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 240.91/41.33 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 240.91/41.33 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 240.91/41.33 | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 240.91/41.33 | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 240.91/41.33 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 240.91/41.33 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 240.91/41.33 | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 240.91/41.33 | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 240.91/41.33 | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 240.91/41.33 | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 240.91/41.33 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 240.91/41.33 | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 240.91/41.33 | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 240.91/41.33 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 240.91/41.33 | | | | | | | | | | | | | | | | |
% 240.91/41.33 | | | | | | | | | | | | | | | | | BETA: splitting (420) gives:
% 240.91/41.33 | | | | | | | | | | | | | | | | |
% 240.91/41.33 | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.33 | | | | | | | | | | | | | | | | | |
% 240.91/41.33 | | | | | | | | | | | | | | | | | | (421) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 240.91/41.33 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 240.91/41.33 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 240.91/41.33 | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 240.91/41.33 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 240.91/41.33 | | | | | | | | | | | | | | | | | |
% 240.91/41.33 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (378), (411), (421), (function-axioms)
% 240.91/41.33 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1863.
% 240.91/41.33 | | | | | | | | | | | | | | | | | |
% 240.91/41.33 | | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.33 | | | | | | | | | | | | | | | | | |
% 240.91/41.33 | | | | | | | | | | | | | | | | | | (422) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 240.91/41.33 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 240.91/41.33 | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 240.91/41.33 | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 240.91/41.33 | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 240.91/41.33 | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 240.91/41.33 | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 240.91/41.33 | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 240.91/41.33 | | | | | | | | | | | | | | | | | |
% 240.91/41.33 | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (168), (378), (410), (422),
% 240.91/41.33 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 240.91/41.33 | | | | | | | | | | | | | | | | | | #1860.
% 240.91/41.33 | | | | | | | | | | | | | | | | | |
% 240.91/41.33 | | | | | | | | | | | | | | | | | End of split
% 240.91/41.33 | | | | | | | | | | | | | | | | |
% 240.91/41.33 | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.33 | | | | | | | | | | | | | | | | |
% 240.91/41.33 | | | | | | | | | | | | | | | | | (423) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 240.91/41.33 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 240.91/41.33 | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 240.91/41.33 | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 240.91/41.33 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 240.91/41.33 | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 240.91/41.33 | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 240.91/41.33 | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 240.91/41.33 | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 240.91/41.33 | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 240.91/41.33 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 240.91/41.33 | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 240.91/41.33 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 240.91/41.33 | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 240.91/41.33 | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 240.91/41.33 | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 240.91/41.33 | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 240.91/41.33 | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 240.91/41.33 | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 240.91/41.33 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 240.91/41.33 | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 240.91/41.33 | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 240.91/41.33 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 240.91/41.33 | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 240.91/41.33 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 240.91/41.33 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 240.91/41.33 | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 240.91/41.33 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 240.91/41.33 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 240.91/41.33 | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 240.91/41.33 | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 240.91/41.33 | | | | | | | | | | | | | | | | |
% 240.91/41.33 | | | | | | | | | | | | | | | | | BETA: splitting (423) gives:
% 240.91/41.33 | | | | | | | | | | | | | | | | |
% 240.91/41.33 | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.33 | | | | | | | | | | | | | | | | | |
% 240.91/41.33 | | | | | | | | | | | | | | | | | | (424) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 240.91/41.33 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 240.91/41.33 | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 240.91/41.33 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 240.91/41.33 | | | | | | | | | | | | | | | | | |
% 240.91/41.33 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (411), (424), (function-axioms) are
% 240.91/41.33 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 240.91/41.33 | | | | | | | | | | | | | | | | | |
% 240.91/41.33 | | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.33 | | | | | | | | | | | | | | | | | |
% 240.91/41.33 | | | | | | | | | | | | | | | | | | (425) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 240.91/41.33 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 240.91/41.33 | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 240.91/41.33 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 240.91/41.33 | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 240.91/41.33 | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 240.91/41.33 | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 240.91/41.33 | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 240.91/41.33 | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 240.91/41.33 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 240.91/41.33 | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 240.91/41.33 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 240.91/41.33 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 240.91/41.33 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 240.91/41.33 | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 240.91/41.33 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 240.91/41.33 | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 240.91/41.33 | | | | | | | | | | | | | | | | | |
% 240.91/41.33 | | | | | | | | | | | | | | | | | | BETA: splitting (425) gives:
% 240.91/41.33 | | | | | | | | | | | | | | | | | |
% 240.91/41.33 | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.33 | | | | | | | | | | | | | | | | | | |
% 240.91/41.33 | | | | | | | | | | | | | | | | | | | (426) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 240.91/41.33 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 240.91/41.33 | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 240.91/41.33 | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 240.91/41.33 | | | | | | | | | | | | | | | | | | |
% 240.91/41.33 | | | | | | | | | | | | | | | | | | | ALPHA: (426) implies:
% 240.91/41.33 | | | | | | | | | | | | | | | | | | | (427) op(e1, e1) = e0
% 240.91/41.33 | | | | | | | | | | | | | | | | | | |
% 240.91/41.33 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (402), (427), (function-axioms) are
% 240.91/41.33 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1857.
% 240.91/41.33 | | | | | | | | | | | | | | | | | | |
% 240.91/41.33 | | | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.33 | | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | (428) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 240.91/41.34 | | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | BETA: splitting (428) gives:
% 240.91/41.34 | | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | (429) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | ALPHA: (429) implies:
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | (430) op(e1, e0) = e1
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (399), (430), (function-axioms) are
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1856.
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | (431) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | ALPHA: (431) implies:
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | (432) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (373), (402), (404), (411),
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | (432), (function-axioms) are inconsistent by
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | | sub-proof #1851.
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | End of split
% 240.91/41.34 | | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | End of split
% 240.91/41.34 | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | End of split
% 240.91/41.34 | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | End of split
% 240.91/41.34 | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | End of split
% 240.91/41.34 | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | Case 2:
% 240.91/41.34 | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | (433) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 240.91/41.34 | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (406), (433) are inconsistent
% 240.91/41.34 | | | | | | | | | | | | | | | by sub-proof #1850.
% 240.91/41.34 | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | End of split
% 240.91/41.34 | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | Case 2:
% 240.91/41.34 | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | (434) all_26_2 = e1
% 240.91/41.34 | | | | | | | | | | | | | | (435) ( ~ (all_26_0 = e2) & op(all_26_1, all_26_1) =
% 240.91/41.34 | | | | | | | | | | | | | | all_26_0 & op(e1, e3) = all_26_1 & $i(all_26_0)
% 240.91/41.34 | | | | | | | | | | | | | | & $i(all_26_1)) | ( ~ (all_26_1 = e0) & op(e1,
% 240.91/41.34 | | | | | | | | | | | | | | e3) = all_26_1 & $i(all_26_1))
% 240.91/41.34 | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | COMBINE_EQS: (307), (434) imply:
% 240.91/41.34 | | | | | | | | | | | | | | (436) all_6_2 = e1
% 240.91/41.34 | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | SIMP: (436) implies:
% 240.91/41.34 | | | | | | | | | | | | | | (437) all_6_2 = e1
% 240.91/41.34 | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | COMBINE_EQS: (303), (437) imply:
% 240.91/41.34 | | | | | | | | | | | | | | (438) all_42_2 = e1
% 240.91/41.34 | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | REDUCE: (342), (437) imply:
% 240.91/41.34 | | | | | | | | | | | | | | (439) ~ (all_52_3 = e1)
% 240.91/41.34 | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | REDUCE: (346), (437) imply:
% 240.91/41.34 | | | | | | | | | | | | | | (440) ~ (all_52_8 = e1)
% 240.91/41.34 | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | REDUCE: (348), (437) imply:
% 240.91/41.34 | | | | | | | | | | | | | | (441) ~ (all_52_12 = e1)
% 240.91/41.34 | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | REDUCE: (39), (437) imply:
% 240.91/41.34 | | | | | | | | | | | | | | (442) op(e3, e3) = e1
% 240.91/41.34 | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 240.91/41.34 | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | Case 1:
% 240.91/41.34 | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | (443) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 240.91/41.34 | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 240.91/41.34 | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | BETA: splitting (443) gives:
% 240.91/41.34 | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | Case 1:
% 240.91/41.34 | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | (444) all_56_12 = e1 & op(e0, e3) = e1
% 240.91/41.34 | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | ALPHA: (444) implies:
% 240.91/41.34 | | | | | | | | | | | | | | | | (445) op(e0, e3) = e1
% 240.91/41.34 | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | REF_CLOSE: (159), (439), (445), (function-axioms) are
% 240.91/41.34 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1849.
% 240.91/41.34 | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | Case 2:
% 240.91/41.34 | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | (446) all_56_13 = e1 & op(e0, e2) = e1
% 240.91/41.34 | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | ALPHA: (446) implies:
% 240.91/41.34 | | | | | | | | | | | | | | | | (447) all_56_13 = e1
% 240.91/41.34 | | | | | | | | | | | | | | | | (448) op(e0, e2) = e1
% 240.91/41.34 | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 240.91/41.34 | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.34 | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | (449) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 240.91/41.34 | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 240.91/41.34 | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | BETA: splitting (449) gives:
% 240.91/41.34 | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.34 | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | (450) all_56_9 = e1 & op(e3, e0) = e1
% 240.91/41.34 | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | ALPHA: (450) implies:
% 240.91/41.34 | | | | | | | | | | | | | | | | | | (451) op(e3, e0) = e1
% 240.91/41.34 | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (441), (451), (function-axioms) are
% 240.91/41.34 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1848.
% 240.91/41.34 | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.34 | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | (452) all_56_10 = e1 & op(e2, e0) = e1
% 240.91/41.34 | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | ALPHA: (452) implies:
% 240.91/41.34 | | | | | | | | | | | | | | | | | | (453) all_56_10 = e1
% 240.91/41.34 | | | | | | | | | | | | | | | | | | (454) op(e2, e0) = e1
% 240.91/41.34 | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 240.91/41.34 | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (448) gives:
% 240.91/41.34 | | | | | | | | | | | | | | | | | | (455) all_52_7 = e1
% 240.91/41.34 | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 240.91/41.34 | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (164), (454) gives:
% 240.91/41.34 | | | | | | | | | | | | | | | | | | (456) all_52_13 = e1
% 240.91/41.34 | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | REDUCE: (145), (456) imply:
% 240.91/41.34 | | | | | | | | | | | | | | | | | | (457) ~ (all_52_1 = e1)
% 240.91/41.34 | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | REDUCE: (135), (455) imply:
% 240.91/41.34 | | | | | | | | | | | | | | | | | | (458) ~ (all_52_4 = e1)
% 240.91/41.34 | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | REDUCE: (125), (455) imply:
% 240.91/41.34 | | | | | | | | | | | | | | | | | | (459) ~ (all_52_11 = e1)
% 240.91/41.34 | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | REDUCE: (110), (456) imply:
% 240.91/41.34 | | | | | | | | | | | | | | | | | | (460) ~ (all_52_14 = e1)
% 240.91/41.34 | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | REDUCE: (371), (456) imply:
% 240.91/41.34 | | | | | | | | | | | | | | | | | | (461) ~ (all_14_2 = e1)
% 240.91/41.34 | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | REDUCE: (360), (456) imply:
% 240.91/41.34 | | | | | | | | | | | | | | | | | | (462) ~ (all_4_2 = e1)
% 240.91/41.34 | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 240.91/41.34 | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.34 | | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | (463) ~ (all_28_2 = e2)
% 240.91/41.34 | | | | | | | | | | | | | | | | | | |
% 240.91/41.34 | | | | | | | | | | | | | | | | | | | REDUCE: (330), (463) imply:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | (464) ~ (all_14_2 = e2)
% 240.91/41.35 | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | (465) all_54_15 = e3
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (465) imply:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | (466) all_14_2 = e3
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (466) imply:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | (467) $false
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | CLOSE: (467) is inconsistent.
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | (468) ~ (all_54_15 = e3)
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | (469) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | BETA: splitting (469) gives:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | (470) all_54_15 = e2
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (470) imply:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | (471) all_14_2 = e2
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (464), (471) imply:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | (472) $false
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | CLOSE: (472) is inconsistent.
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | (473) ~ (all_54_15 = e2)
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | (474) all_54_15 = e1 | all_54_15 = e0
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (474) gives:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | (475) all_54_15 = e1
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (475) imply:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | (476) all_14_2 = e1
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (476) imply:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | (477) $false
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (477) is inconsistent.
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | (478) all_54_15 = e0
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (478) imply:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | (479) all_14_2 = e0
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (479) imply:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | (480) ~ (all_52_3 = e0)
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (479) imply:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | (481) ~ (all_52_11 = e0)
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (464), (479) imply:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | (482) ~ (e2 = e0)
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (479) imply:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | (483) ~ (e1 = e0)
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | (484) all_56_15 = e0 & op(e0, e0) = e0
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (484) implies:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | (485) all_56_15 = e0
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | (486) op(e0, e0) = e0
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | (487) ~ (all_32_2 = e0)
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (314), (487) imply:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | (488) ~ (all_4_2 = e0)
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | (489) all_54_5 = e3
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (489) are inconsistent by sub-proof
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | #1847.
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | (490) ~ (all_54_5 = e3)
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | (491) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (36), (51), (157), (159),
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (165), (167), (238), (268), (349),
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | (358), (373), (378), (380), (397), (399), (402),
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | (404), (442), (480), (481), (486), (488), (491),
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | #1822.
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | (492) all_32_2 = e0
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | (493) ( ~ (all_32_0 = e1) & op(all_32_1, all_32_1) =
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | all_32_0 & op(e0, e2) = all_32_1 & $i(all_32_0)
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_32_1)) | ( ~ (all_32_1 = e3) & op(e0,
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_32_1 & $i(all_32_1))
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (492) imply:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | (494) all_4_2 = e0
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (494) imply:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | (495) all_36_2 = e0
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (494) imply:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | (496) ~ (e3 = e0)
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (494) imply:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | (497) op(e2, e2) = e0
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | (498) ~ (all_36_2 = e0)
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (495), (498) imply:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | (499) $false
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (499) is inconsistent.
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | (500) ( ~ (all_36_0 = e3) & op(all_36_1, all_36_1) =
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | all_36_0 & op(e0, e2) = all_36_1 & $i(all_36_0)
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_36_1)) | ( ~ (all_36_1 = e1) & op(e0,
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_36_1 & $i(all_36_1))
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (501) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (501) gives:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (502) all_56_6 = e0 & op(e1, e3) = e0
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (502) implies:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (503) op(e1, e3) = e0
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (504) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (227), (228),
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (442), (447), (497), (504),
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1814.
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (505) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (505) gives:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (506) all_56_4 = e0 & op(e3, e1) = e0
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (506) implies:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (507) all_56_4 = e0
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (508) op(e3, e1) = e0
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (493) gives:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (509) ~ (all_32_0 = e1) & op(all_32_1, all_32_1) =
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_0 & op(e0, e2) = all_32_1 & $i(all_32_0) &
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (509) implies:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (510) ~ (all_32_0 = e1)
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (511) op(e0, e2) = all_32_1
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (512) op(all_32_1, all_32_1) = all_32_0
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_32_1,
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (448), (511) gives:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (513) all_32_1 = e1
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (512), (513) imply:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (514) op(e1, e1) = all_32_0
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_32_0,
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (402), (514) gives:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (515) all_32_0 = e1
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (510), (515) imply:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (516) $false
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (516) is inconsistent.
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (517) ~ (all_32_1 = e3) & op(e0, e2) = all_32_1 &
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (517) implies:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518) ~ (all_32_1 = e3)
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (519) op(e0, e2) = all_32_1
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_32_1,
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (448), (519) gives:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (520) all_32_1 = e1
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (503) gives:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (521) all_52_2 = e0
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (508) gives:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (522) all_52_8 = e0
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (521) imply:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (523) ~ (all_52_3 = e0)
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (522) imply:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (524) ~ (all_52_4 = e0)
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (522) imply:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (525) ~ (all_52_11 = e0)
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (526) ~ (all_42_2 = e1)
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (438), (526) imply:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (527) $false
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (527) is inconsistent.
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (528) ( ~ (all_42_0 = e0) & op(all_42_1, all_42_1) =
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0 & op(e1, e3) = all_42_1 & $i(all_42_0)
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_42_1)) | ( ~ (all_42_1 = e2) & op(e1,
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_42_1 & $i(all_42_1))
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (500) gives:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (529) ~ (all_36_0 = e3) & op(all_36_1, all_36_1) =
% 240.91/41.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_36_0 & op(e0, e2) = all_36_1 & $i(all_36_0) &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (529) implies:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (530) ~ (all_36_0 = e3)
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (531) op(e0, e2) = all_36_1
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532) op(all_36_1, all_36_1) = all_36_0
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (435) gives:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (533) ~ (all_26_0 = e2) & op(all_26_1, all_26_1) =
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_0 & op(e1, e3) = all_26_1 & $i(all_26_0) &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (533) implies:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (534) ~ (all_26_0 = e2)
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (535) op(e1, e3) = all_26_1
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (536) op(all_26_1, all_26_1) = all_26_0
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_36_1,
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (448), (531) gives:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (537) all_36_1 = e1
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_26_1,
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (503), (535) gives:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (538) all_26_1 = e0
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (532), (537) imply:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (539) op(e1, e1) = all_36_0
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (538) imply:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (540) op(e0, e0) = all_26_0
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (528) gives:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (541) ~ (all_42_0 = e0) & op(all_42_1, all_42_1) =
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0 & op(e1, e3) = all_42_1 & $i(all_42_0) &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (541) implies:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (542) ~ (all_42_0 = e0)
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (543) op(e1, e3) = all_42_1
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (544) op(all_42_1, all_42_1) = all_42_0
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (503), (540), (542), (543), (544),
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1813.
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (545) ~ (all_42_1 = e2) & op(e1, e3) = all_42_1 &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (545) implies:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (546) ~ (all_42_1 = e2)
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (547) op(e1, e3) = all_42_1
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_26_0,
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (486), (540) gives:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (548) all_26_0 = e0
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_36_0,
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (402), (539) gives:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (549) all_36_0 = e1
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_42_1,
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (503), (547) gives:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (550) all_42_1 = e0
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (551) all_54_1 = e3
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (551) imply:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (552) all_52_4 = e3
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (552) implies:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (553) all_52_4 = e3
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (553) imply:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (554) ~ (all_52_12 = e3)
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (554) implies:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (555) ~ (all_52_12 = e3)
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (553) imply:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (556) op(e3, e2) = e3
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (557) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (557) gives:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (558) all_56_9 = e3 & op(e3, e0) = e3
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (558) implies:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (559) op(e3, e0) = e3
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (555), (559), (function-axioms) are
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1862.
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (560) all_56_10 = e3 & op(e2, e0) = e3
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (560) implies:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (561) all_56_10 = e3
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (453), (561) are inconsistent by sub-proof
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1812.
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (562) gives:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (563) all_56_11 = e3 & op(e1, e0) = e3
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (563) implies:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (564) all_56_11 = e3
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (565) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (565) gives:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (566) all_56_9 = e2 & op(e3, e0) = e2
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (566) implies:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (567) all_56_9 = e2
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (568) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (568) gives:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (569) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (569) gives:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (570) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (380), (402), (570), (function-axioms)
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1873.
% 240.91/41.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (571) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (51), (373), (380), (571), (function-axioms)
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1871.
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (572) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (572) gives:
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (573) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (573) gives:
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (574) all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (574) implies:
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (575) op(e1, e1) = e2
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (402), (575), (function-axioms) are
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (576) all_57_19 = e3 & all_57_31 = e2 & ~ (all_57_21 =
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e2) & op(e3, e3) =
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e0, e2) =
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e0) = e2 & $i(all_57_21) &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (576) implies:
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (577) op(e0, e0) = e2
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (168), (206),
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (212), (380), (441), (453), (567), (577),
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1796.
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (578) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (578) gives:
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (579) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (579) implies:
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (580) op(e1, e2) = e1
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (397), (580), (function-axioms) are
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1868.
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (581) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (168), (206),
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (212), (380), (441), (453), (497), (567),
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (581), (function-axioms) are inconsistent by
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1794.
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.91/41.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (582) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (582) gives:
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (583) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (583) gives:
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (584) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (584) gives:
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (585) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (585) implies:
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (586) op(e0, e0) = e1
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (378), (586), (function-axioms) are
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1865.
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (587) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (587) implies:
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (588) all_57_26 = e1
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (589) op(e2, e1) = e2
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (118), (157), (159), (165), (190),
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (247), (398), (439), (442), (481), (497),
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (508), (556), (588), (589), (function-axioms) are
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1782.
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (590) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (168), (378), (555), (590),
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1860.
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (591) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (591) gives:
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (592) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (442), (592), (function-axioms) are
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1831.
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.32/41.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (593) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (593) gives:
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (594) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (594) implies:
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (595) ~ (all_57_28 = e0)
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (596) op(e2, e2) = all_57_28
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (595), (596), (function-axioms) are
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1781.
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (597) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (597) gives:
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (598) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (598) implies:
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (599) op(e1, e0) = e1
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (399), (599), (function-axioms) are
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1856.
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (600) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.32/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (600) implies:
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (601) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (601) gives:
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (602) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (602) gives:
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (603) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (603) implies:
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (604) op(e2, e2) = e3
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (604), (function-axioms) are
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (605) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (605) gives:
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (606) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (606) implies:
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (607) op(e1, e1) = e3
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (36), (157), (159), (373), (404), (442),
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (480), (481), (601), (607), (function-axioms) are
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1824.
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (608) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (608) implies:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (609) ~ (all_57_19 = e3)
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (610) op(e3, e2) = all_57_19
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (556), (609), (610), (function-axioms) are
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1792.
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (611) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (611) gives:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (612) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (612) implies:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (613) op(e1, e1) = e2
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (402), (613), (function-axioms) are
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (614) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (157), (481), (497), (614), (function-axioms)
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1780.
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (615) all_56_10 = e2 & op(e2, e0) = e2
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (615) implies:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (616) all_56_10 = e2
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (453), (616) are inconsistent by sub-proof
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1779.
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (617) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (486), (564), (617), (function-axioms)
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1777.
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (618) all_56_15 = e3 & op(e0, e0) = e3
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (618) implies:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (619) op(e0, e0) = e3
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (380), (619), (function-axioms) are
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1874.
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (620) ~ (all_54_1 = e3)
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (272), (620) imply:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (621) ~ (all_52_4 = e3)
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (622) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (442), (621), (622), (function-axioms)
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1776.
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (623) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (623) gives:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (624) all_56_4 = e3 & op(e3, e1) = e3
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (507), (624) are inconsistent by sub-proof
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1775.
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (625) all_56_9 = e3 & op(e3, e0) = e3
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (625) implies:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (626) op(e3, e0) = e3
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (627) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (621), (627),
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1774.
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (628) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (628) gives:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (629) all_56_7 = e3 & op(e1, e2) = e3
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (629) implies:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (630) all_56_7 = e3
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (631) op(e1, e2) = e3
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (632) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (632) gives:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (633) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16))) & ((all_57_30 = e3 & op(e1,
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e3) | ( ~ (all_57_17 = e1) & op(e1,
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_17 & $i(all_57_17))) &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (633) implies:
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (634) op(e3, e0) = all_57_25
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (635) op(e3, e3) = all_57_26
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (636) op(e3, all_57_25) = e0
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (637) (all_57_30 = e3 & op(e1, e1) = e3) | ( ~
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & op(e1, e3) = all_57_17 &
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17))
% 241.39/41.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (397), (442), (503), (626), (630), (634),
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (635), (636), (637), (function-axioms) are
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1756.
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (638) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e2 & op(e3, e3) = e2) | ( ~
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & op(e3, e2) = all_57_19 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19))) & ((all_57_30 = e2 & op(e1,
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_20 = e1) & op(e1,
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_20 & $i(all_57_20))) &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)))
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (638) implies:
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (639) op(e2, e0) = all_57_27
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (640) op(e2, e2) = all_57_28
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (641) op(e2, all_57_28) = e2
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (454), (497), (639), (640), (641),
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1755.
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (642) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (642) gives:
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (643) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (643) implies:
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (644) op(e1, e2) = all_57_20
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (645) op(e1, all_57_20) = e2
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (646) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24))
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (378), (535), (546), (547), (631), (644),
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (645), (646), (function-axioms) are inconsistent
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1753.
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (647) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (442), (626), (647), (function-axioms) are
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1751.
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (648) all_56_13 = e3 & op(e0, e2) = e3
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (648) implies:
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (649) op(e0, e2) = e3
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (518), (519), (649), (function-axioms) are
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1750.
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (650) ~ (all_26_1 = e0) & op(e1, e3) = all_26_1 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (650) implies:
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (651) ~ (all_26_1 = e0)
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (652) op(e1, e3) = all_26_1
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (651), (652), (function-axioms) are
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1749.
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (653) ~ (all_36_1 = e1) & op(e0, e2) = all_36_1 &
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (493), (653), (function-axioms) are
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1747.
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654) all_56_9 = e0 & op(e3, e0) = e0
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (654) implies:
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (655) all_56_9 = e0
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (210), (211),
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (378), (380), (453), (485), (486), (655),
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1736.
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (656) all_56_7 = e0 & op(e1, e2) = e0
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (656) implies:
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (657) all_56_7 = e0
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (227), (228),
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (447), (497), (657), (function-axioms) are
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1731.
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (658) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (658) gives:
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (659) all_56_8 = e0 & op(e1, e1) = e0
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (659) implies:
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (660) op(e1, e1) = e0
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (402), (660), (function-axioms) are
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1857.
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (661) all_56_11 = e0 & op(e1, e0) = e0
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (661) implies:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (662) all_56_11 = e0
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (51), (211), (212),
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (380), (453), (486), (662), (function-axioms) are
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1729.
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | (663) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (663) implies:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | (664) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (157), (159), (447), (480), (481), (664),
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | #1727.
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.42 | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | (665) all_28_2 = e2
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | (666) ( ~ (all_28_0 = e3) & op(all_28_1, all_28_1) =
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | all_28_0 & op(e2, e0) = all_28_1 & $i(all_28_0)
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | & $i(all_28_1)) | ( ~ (all_28_1 = e1) & op(e2,
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | e0) = all_28_1 & $i(all_28_1))
% 241.39/41.42 | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (665) imply:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | (667) all_14_2 = e2
% 241.39/41.42 | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | SIMP: (667) implies:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | (668) all_14_2 = e2
% 241.39/41.42 | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (668) imply:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | (669) all_50_2 = e2
% 241.39/41.42 | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | REDUCE: (369), (668) imply:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | (670) ~ (all_52_11 = e2)
% 241.39/41.42 | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | REDUCE: (370), (668) imply:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | (671) ~ (all_52_12 = e2)
% 241.39/41.42 | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | REDUCE: (372), (668) imply:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | (672) ~ (all_52_14 = e2)
% 241.39/41.42 | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | REDUCE: (380), (668) imply:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | (673) ~ (e3 = e2)
% 241.39/41.42 | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | REDUCE: (51), (668) imply:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | (674) op(e0, e0) = e2
% 241.39/41.42 | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | (675) ~ (all_50_2 = e2)
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | REDUCE: (669), (675) imply:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | (676) $false
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | CLOSE: (676) is inconsistent.
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | (677) ( ~ (all_50_0 = e1) & op(all_50_1, all_50_1) =
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | all_50_0 & op(e2, e0) = all_50_1 & $i(all_50_0)
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | & $i(all_50_1)) | ( ~ (all_50_1 = e3) & op(e2,
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | e0) = all_50_1 & $i(all_50_1))
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | BETA: splitting (677) gives:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | (678) ~ (all_50_0 = e1) & op(all_50_1, all_50_1) =
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | all_50_0 & op(e2, e0) = all_50_1 & $i(all_50_0) &
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | ALPHA: (678) implies:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | (679) ~ (all_50_0 = e1)
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | (680) op(e2, e0) = all_50_1
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | (681) op(all_50_1, all_50_1) = all_50_0
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_50_1,
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (454), (680) gives:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | (682) all_50_1 = e1
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (682) imply:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | (683) op(e1, e1) = all_50_0
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_50_0,
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (402), (683) gives:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | (684) all_50_0 = e1
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (684) imply:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | (685) $false
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | CLOSE: (685) is inconsistent.
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | (686) ~ (all_50_1 = e3) & op(e2, e0) = all_50_1 &
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | ALPHA: (686) implies:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | (687) ~ (all_50_1 = e3)
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | (688) op(e2, e0) = all_50_1
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_50_1,
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (454), (688) gives:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | (689) all_50_1 = e1
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (666) gives:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | (690) ~ (all_28_0 = e3) & op(all_28_1, all_28_1) =
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | all_28_0 & op(e2, e0) = all_28_1 & $i(all_28_0) &
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (690) implies:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | (691) ~ (all_28_0 = e3)
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | (692) op(e2, e0) = all_28_1
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | (693) op(all_28_1, all_28_1) = all_28_0
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_28_1,
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (454), (692) gives:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | (694) all_28_1 = e1
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (694) imply:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | (695) op(e1, e1) = all_28_0
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_28_0,
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (402), (695) gives:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | (696) all_28_0 = e1
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | (697) ~ (all_32_2 = e0)
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (314), (697) imply:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | (698) ~ (all_4_2 = e0)
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | (699) all_54_5 = e3
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (699) are inconsistent by sub-proof
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | #1847.
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | (700) ~ (all_54_5 = e3)
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | (701) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (701) gives:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | (702) all_54_5 = e2
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (702) imply:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | (703) all_4_2 = e2
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (703) implies:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | (704) all_4_2 = e2
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (704) imply:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | (705) ~ (all_52_1 = e2)
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (704) imply:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | (706) ~ (all_52_9 = e2)
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (704) imply:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | (707) op(e2, e2) = e2
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (708) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (708) gives:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (709) all_56_4 = e2 & op(e3, e1) = e2
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (709) implies:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (710) all_56_4 = e2
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (711) op(e3, e1) = e2
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (712) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (712) gives:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (713) all_56_6 = e2 & op(e1, e3) = e2
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (713) implies:
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (714) op(e1, e3) = e2
% 241.39/41.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (51), (94), (112),
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (120), (123), (133), (136), (139), (141), (144),
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (149), (157), (159), (160), (162), (163),
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (192), (193),
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (203), (207), (213), (214), (215),
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (228), (236), (238), (239), (249), (250),
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (272), (373), (380), (397), (398),
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (399), (402), (404), (435), (438), (439), (440),
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (441), (442), (447), (448), (457), (458), (674),
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (687), (688), (707), (711), (714),
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1687.
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (715) all_56_7 = e2 & op(e1, e2) = e2
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (715) implies:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (716) all_56_7 = e2
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (717) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (717) gives:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (718) all_56_1 = e0 & op(e3, e2) = e0
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (718) implies:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (719) all_56_1 = e0
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (720) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (442), (705), (720), (function-axioms)
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1686.
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (721) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (721) gives:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (722) all_56_6 = e2 & op(e1, e3) = e2
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (722) implies:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (723) all_56_6 = e2
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (724) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (724) gives:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (725) all_56_6 = e0 & op(e1, e3) = e0
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (723), (725) are inconsistent by sub-proof
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1685.
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (726) all_56_7 = e0 & op(e1, e2) = e0
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (716), (726) are inconsistent by sub-proof
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1684.
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (727) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (727) gives:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (728) all_56_8 = e0 & op(e1, e1) = e0
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (728) implies:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (729) op(e1, e1) = e0
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (402), (729), (function-axioms) are
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1857.
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (730) all_56_11 = e0 & op(e1, e0) = e0
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (730) implies:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (731) all_56_11 = e0
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (157),
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (168), (169), (206), (207), (210), (212),
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (236), (373), (380), (398), (439), (441),
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (442), (674), (711), (716), (719), (731),
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1682.
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (732) all_56_12 = e2 & op(e0, e3) = e2
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (732) implies:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (733) all_56_12 = e2
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (206), (207),
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (373), (674), (716), (719), (733),
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1673.
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (734) all_56_3 = e0 & op(e2, e2) = e0
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (734) implies:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (735) op(e2, e2) = e0
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (707), (735), (function-axioms) are
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1835.
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (736) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (736) gives:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (737) all_56_7 = e0 & op(e1, e2) = e0
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (737) implies:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (738) all_56_7 = e0
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (716), (738) are inconsistent by sub-proof
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1734.
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (739) all_56_13 = e0 & op(e0, e2) = e0
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (739) implies:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (740) all_56_13 = e0
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (447), (740) are inconsistent by sub-proof
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1672.
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (741) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (741) gives:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (742) all_56_8 = e2 & op(e1, e1) = e2
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (742) implies:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (743) op(e1, e1) = e2
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (402), (743), (function-axioms) are
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (744) all_56_11 = e2 & op(e1, e0) = e2
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (744) implies:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (745) all_56_11 = e2
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (746) op(e1, e0) = e2
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (747) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (442), (705), (747), (function-axioms)
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1686.
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (748) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (748) gives:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (749) all_56_6 = e2 & op(e1, e3) = e2
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (749) implies:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (750) all_56_6 = e2
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (751) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (751) gives:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (752) all_56_9 = e3 & op(e3, e0) = e3
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (752) implies:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (753) all_56_9 = e3
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (754) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (754) gives:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (755) all_56_6 = e3 & op(e1, e3) = e3
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (755) implies:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (756) all_56_6 = e3
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (168), (206),
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (212), (380), (441), (453), (674), (750),
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (753), (756), (function-axioms) are inconsistent
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1671.
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (757) all_56_7 = e3 & op(e1, e2) = e3
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (757) implies:
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (758) all_56_7 = e3
% 241.39/41.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (213), (402), (745), (750), (758),
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1669.
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (759) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (759) gives:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (760) all_56_8 = e3 & op(e1, e1) = e3
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (760) implies:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (761) op(e1, e1) = e3
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (402), (761), (function-axioms) are
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1875.
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (762) all_56_11 = e3 & op(e1, e0) = e3
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (762) implies:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (763) all_56_11 = e3
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (745), (763) imply:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (764) e3 = e2
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (764) implies:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (765) e3 = e2
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (753), (765) imply:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (766) all_56_9 = e2
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (168), (206),
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (212), (380), (441), (453), (674), (766),
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1796.
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (767) all_56_10 = e3 & op(e2, e0) = e3
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (767) implies:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (768) all_56_10 = e3
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (206), (210), (674),
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (745), (746), (768), (function-axioms) are
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1664.
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (769) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (769) gives:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (770) all_56_11 = e3 & op(e1, e0) = e3
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (745), (770) are inconsistent by sub-proof
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1663.
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (771) all_56_15 = e3 & op(e0, e0) = e3
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (771) implies:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (772) op(e0, e0) = e3
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (380), (772), (function-axioms) are
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1874.
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (773) all_56_12 = e2 & op(e0, e3) = e2
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (773) implies:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (774) all_56_12 = e2
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (775) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (775) gives:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (776) all_56_9 = e3 & op(e3, e0) = e3
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (776) implies:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (777) all_56_9 = e3
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (778) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (778) gives:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (779) all_56_0 = e0 & op(e3, e3) = e0
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (779) implies:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (780) op(e3, e3) = e0
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (442), (780), (function-axioms) are
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1832.
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (781) all_56_1 = e0 & op(e3, e2) = e0
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (781) implies:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (782) all_56_1 = e0
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (783) all_56_15 = e0 & op(e0, e0) = e0
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (783) implies:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (784) op(e0, e0) = e0
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (674), (784), (function-axioms) are
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1842.
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (785) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (785) implies:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (786) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (786) gives:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (787) all_56_12 = e0 & op(e0, e3) = e0
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (774), (787) are inconsistent by sub-proof
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1681.
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (788) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (788) gives:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (789) all_56_13 = e0 & op(e0, e2) = e0
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (789) implies:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (790) all_56_13 = e0
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (790) imply:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (791) e1 = e0
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (791) imply:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (792) all_56_10 = e0
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (51), (168), (210), (378), (441), (746),
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (792), (function-axioms) are inconsistent by
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1659.
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (793) all_56_14 = e0 & op(e0, e1) = e0
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (793) implies:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (794) all_56_14 = e0
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (795) op(e0, e1) = e0
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (796) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (373), (782), (796), (function-axioms)
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1820.
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (797) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (797) gives:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (798) all_56_7 = e3 & op(e1, e2) = e3
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (798) implies:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (799) all_56_7 = e3
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (800) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (800) gives:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (801) all_56_4 = e3 & op(e3, e1) = e3
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (801) implies:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (802) op(e3, e1) = e3
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (169), (711), (802), (function-axioms) are
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1722.
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (803) all_56_5 = e3 & op(e2, e1) = e3
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (803) implies:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (804) all_56_5 = e3
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (805) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (805) gives:
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (806) all_56_2 = e0 & op(e2, e3) = e0
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (806) implies:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (807) all_56_2 = e0
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (808) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (808) gives:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (809) all_56_6 = e0 & op(e1, e3) = e0
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (809) implies:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (810) all_56_6 = e0
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (811) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (811) gives:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (812) all_56_12 = e3 & op(e0, e3) = e3
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (812) implies:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (813) all_56_12 = e3
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (442), (807), (810), (813),
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1654.
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (814) all_56_13 = e3 & op(e0, e2) = e3
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (814) implies:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (815) all_56_13 = e3
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (207), (674), (774), (795), (815),
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1676.
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (816) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (816) gives:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (817) all_56_14 = e3 & op(e0, e1) = e3
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (794), (817) are inconsistent by sub-proof
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1653.
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (818) all_56_15 = e3 & op(e0, e0) = e3
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (818) implies:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (819) op(e0, e0) = e3
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (380), (819), (function-axioms) are
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1874.
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (820) all_56_7 = e0 & op(e1, e2) = e0
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (799), (820) are inconsistent by sub-proof
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1772.
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (821) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (821) gives:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (822) all_56_8 = e0 & op(e1, e1) = e0
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (822) implies:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (823) op(e1, e1) = e0
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (402), (823), (function-axioms) are
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1857.
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (824) all_56_11 = e0 & op(e1, e0) = e0
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (824) implies:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (825) all_56_11 = e0
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (745), (825) imply:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (826) e2 = e0
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (774), (826) imply:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (827) all_56_12 = e0
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (233), (235), (442),
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (807), (827), (function-axioms) are inconsistent
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1643.
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (828) all_56_3 = e0 & op(e2, e2) = e0
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (828) implies:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (829) op(e2, e2) = e0
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (707), (829), (function-axioms) are
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1835.
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (830) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (830) gives:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (831) all_56_5 = e0 & op(e2, e1) = e0
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (804), (831) are inconsistent by sub-proof
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1642.
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (832) all_56_10 = e0 & op(e2, e0) = e0
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (832) implies:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (833) all_56_10 = e0
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (51), (168), (210), (378), (441), (746),
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (833), (function-axioms) are inconsistent by
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1659.
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (834) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (834) gives:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (835) all_56_8 = e3 & op(e1, e1) = e3
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (835) implies:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (836) op(e1, e1) = e3
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (397), (799), (836), (function-axioms) are
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1757.
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (837) all_56_14 = e3 & op(e0, e1) = e3
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (837) implies:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (838) all_56_14 = e3
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (794), (838) are inconsistent by sub-proof
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1641.
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (839) all_56_13 = e3 & op(e0, e2) = e3
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (839) implies:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (840) all_56_13 = e3
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (207), (674), (774), (795), (840),
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1676.
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (841) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (841) gives:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (842) all_56_4 = e0 & op(e3, e1) = e0
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (710), (842) are inconsistent by sub-proof
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1640.
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (843) all_56_9 = e0 & op(e3, e0) = e0
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (777), (843) are inconsistent by sub-proof
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1639.
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (844) all_56_10 = e3 & op(e2, e0) = e3
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (844) implies:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (845) all_56_10 = e3
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (206), (210), (674),
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (745), (746), (845), (function-axioms) are
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1664.
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (846) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (51), (380), (745), (846), (function-axioms)
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1637.
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (847) all_56_5 = e2 & op(e2, e1) = e2
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (847) implies:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (848) op(e2, e1) = e2
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (706), (848), (function-axioms) are
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1838.
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (849) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (849) gives:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (850) all_56_8 = e2 & op(e1, e1) = e2
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (850) implies:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (851) op(e1, e1) = e2
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (402), (851), (function-axioms) are
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (852) all_56_14 = e2 & op(e0, e1) = e2
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (852) implies:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (853) all_56_14 = e2
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (206), (207),
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (380), (447), (674), (853),
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1627.
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | | (854) all_54_5 = e1 | all_54_5 = e0
% 241.39/41.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (404), (698), (854) are inconsistent by
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1845.
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | (855) all_32_2 = e0
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (855) imply:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | (856) all_4_2 = e0
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (856) imply:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | (857) ~ (all_52_4 = e0)
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (856) imply:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | (858) ~ (e3 = e0)
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (404), (856) imply:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | (859) ~ (e1 = e0)
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (856) imply:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | (860) op(e2, e2) = e0
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | (861) all_54_11 = e3
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (861) imply:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | (862) all_52_14 = e3
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (862) implies:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | (863) all_52_14 = e3
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (863) imply:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | (864) ~ (all_52_2 = e3)
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (863) imply:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | (865) ~ (all_52_6 = e3)
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | (866) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (864), (865), (866),
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | #1625.
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | (867) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (867) gives:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (868) all_56_8 = e3 & op(e1, e1) = e3
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (868) implies:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (869) op(e1, e1) = e3
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (402), (869), (function-axioms) are
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1875.
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (870) all_56_11 = e3 & op(e1, e0) = e3
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (870) implies:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (871) all_56_11 = e3
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (872) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (872) gives:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (873) all_56_1 = e3 & op(e3, e2) = e3
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (873) implies:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (874) all_56_1 = e3
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (875) op(e3, e2) = e3
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (121),
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (157), (159), (168), (169), (170), (202),
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (206), (207), (210), (212), (215), (217),
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (228), (230), (234), (236), (239),
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271), (272), (373), (380), (398), (402), (439),
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (440), (441), (442), (448), (453), (458), (674),
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (687), (688), (860), (871), (874), (875),
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1603.
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (876) all_56_3 = e3 & op(e2, e2) = e3
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (876) implies:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (877) op(e2, e2) = e3
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (877), (function-axioms) are
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (878) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (157), (159), (162), (207), (398),
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (439), (674), (865), (878), (function-axioms) are
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1698.
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | (879) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | (880) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (880) gives:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (881) all_56_9 = e3 & op(e3, e0) = e3
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (881) implies:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (882) all_56_9 = e3
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (883) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (883) gives:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (884) all_56_0 = e0 & op(e3, e3) = e0
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (884) implies:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (885) op(e3, e3) = e0
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (442), (885), (function-axioms) are
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1832.
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (886) all_56_1 = e0 & op(e3, e2) = e0
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (886) implies:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (887) all_56_1 = e0
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (888) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (442), (887), (888), (function-axioms)
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1602.
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (889) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (889) gives:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (890) all_56_4 = e2 & op(e3, e1) = e2
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (890) implies:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (891) all_56_4 = e2
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (892) op(e3, e1) = e2
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (893) all_56_15 = e0 & op(e0, e0) = e0
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (893) implies:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (894) op(e0, e0) = e0
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (674), (894), (function-axioms) are
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1842.
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (895) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (895) implies:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (896) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (896) gives:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (897) all_56_9 = e0 & op(e3, e0) = e0
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (897) implies:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (898) all_56_9 = e0
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (882), (898) are inconsistent by sub-proof
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1746.
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (899) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (899) gives:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (900) all_56_10 = e0 & op(e2, e0) = e0
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (453), (900) are inconsistent by sub-proof
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1810.
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (901) all_56_11 = e0 & op(e1, e0) = e0
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (901) implies:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (902) all_56_11 = e0
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (903) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (903) gives:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (904) all_56_6 = e2 & op(e1, e3) = e2
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (904) implies:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (905) op(e1, e3) = e2
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (906) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (906) gives:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (907) all_56_1 = e2 & op(e3, e2) = e2
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (907) implies:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (908) all_56_1 = e2
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (230), (442), (882), (891), (908),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1622.
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (909) all_56_3 = e2 & op(e2, e2) = e2
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (909) implies:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (910) op(e2, e2) = e2
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (51), (94), (112),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (120), (123), (133), (136), (139), (141), (144),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (149), (157), (159), (160), (162), (163),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (192), (193),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (203), (207), (213), (214), (215),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (228), (236), (238), (239), (249), (250),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (272), (373), (380), (397), (398),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (399), (402), (404), (435), (438), (439), (440),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (441), (442), (447), (448), (457), (458), (674),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (687), (688), (892), (905), (910),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1687.
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (911) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (911) gives:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (912) all_56_7 = e2 & op(e1, e2) = e2
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (912) implies:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (913) all_56_7 = e2
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (157),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (168), (169), (206), (207), (210), (212),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (236), (373), (380), (398), (439), (441),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (442), (674), (887), (892), (902), (913),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1682.
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (914) all_56_13 = e2 & op(e0, e2) = e2
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (914) implies:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (915) all_56_13 = e2
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (447), (915) are inconsistent by sub-proof
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1817.
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (916) all_56_7 = e2 & op(e1, e2) = e2
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (916) implies:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (917) all_56_7 = e2
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (157),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (168), (169), (206), (207), (210), (212),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (236), (373), (380), (398), (439), (441),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (442), (674), (887), (892), (902), (917),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1682.
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (918) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (918) gives:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (919) all_56_8 = e2 & op(e1, e1) = e2
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (919) implies:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (920) op(e1, e1) = e2
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (402), (920), (function-axioms) are
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (921) all_56_11 = e2 & op(e1, e0) = e2
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (921) implies:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (922) all_56_11 = e2
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (902), (922) imply:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (923) e2 = e0
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (923) implies:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (924) e2 = e0
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (891), (924) imply:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (925) all_56_4 = e0
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (112),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (133), (134), (165), (169),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (198), (201), (202), (203), (206), (207),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (219), (239), (247), (250), (261), (270),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271), (272), (373), (380), (398), (399), (402),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (440), (441), (442), (447), (448), (458), (670),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (671), (672), (674), (857), (860), (879), (925),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1588.
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (926) all_56_9 = e2 & op(e3, e0) = e2
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (926) implies:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (927) all_56_9 = e2
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (168), (206),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (212), (380), (441), (453), (674), (927),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1796.
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (928) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (928) gives:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (929) all_56_4 = e0 & op(e3, e1) = e0
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (929) implies:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (930) all_56_4 = e0
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (112),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (133), (134), (165), (169),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (198), (201), (202), (203), (206), (207),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (219), (239), (247), (250), (261), (270),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271), (272), (373), (380), (398), (399), (402),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (440), (441), (442), (447), (448), (458), (670),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (671), (672), (674), (857), (860), (879), (930),
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1588.
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (931) all_56_9 = e0 & op(e3, e0) = e0
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (882), (931) are inconsistent by sub-proof
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1639.
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (932) all_56_10 = e3 & op(e2, e0) = e3
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (932) implies:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (933) op(e2, e0) = e3
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (687), (688), (933), (function-axioms) are
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1693.
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | (934) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (934) gives:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (935) all_56_11 = e3 & op(e1, e0) = e3
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (935) implies:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (936) all_56_11 = e3
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (937) all_56_15 = e0 & op(e0, e0) = e0
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (937) implies:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (938) op(e0, e0) = e0
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (674), (938), (function-axioms) are
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1842.
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (939) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (939) implies:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (940) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (941) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (942) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (942) gives:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (943) all_56_6 = e0 & op(e1, e3) = e0
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (943) implies:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (944) all_56_6 = e0
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (945) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (945) gives:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (946) all_56_0 = e2 & op(e3, e3) = e2
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (946) implies:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (947) op(e3, e3) = e2
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (442), (947), (function-axioms) are
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (948) all_56_2 = e2 & op(e2, e3) = e2
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (948) implies:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (949) all_56_2 = e2
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (950) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (950) gives:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (951) all_56_6 = e2 & op(e1, e3) = e2
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (951) implies:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (952) all_56_6 = e2
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (944), (952) imply:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (953) e2 = e0
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (953) implies:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (954) e2 = e0
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (949), (954) imply:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (955) all_56_2 = e0
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (222), (223),
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (373), (453), (860), (955),
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1579.
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (956) all_56_7 = e2 & op(e1, e2) = e2
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (956) implies:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (957) all_56_7 = e2
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (958) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (949), (958), (function-axioms)
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1577.
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (959) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (959) gives:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (960) all_56_5 = e3 & op(e2, e1) = e3
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (960) implies:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (961) all_56_5 = e3
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (962) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (442), (949), (962), (function-axioms)
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1576.
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (963) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (963) gives:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (964) all_56_6 = e3 & op(e1, e3) = e3
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (964) implies:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (965) all_56_6 = e3
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (944), (965) are inconsistent by sub-proof
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1575.
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (966) all_56_12 = e3 & op(e0, e3) = e3
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (966) implies:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (967) all_56_12 = e3
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (968) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (968) gives:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (969) all_56_4 = e2 & op(e3, e1) = e2
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (969) implies:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (970) all_56_4 = e2
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (971) op(e3, e1) = e2
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (972) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (972) gives:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (973) all_56_0 = e3 & op(e3, e3) = e3
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (973) implies:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (974) op(e3, e3) = e3
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (442), (974), (function-axioms) are
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1864.
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (975) all_56_1 = e3 & op(e3, e2) = e3
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (975) implies:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (976) all_56_1 = e3
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (977) op(e3, e2) = e3
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (121),
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (157), (159), (168), (169), (170), (202),
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (206), (207), (210), (212), (215), (217),
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (228), (230), (236), (239), (271),
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (272), (373), (380), (398), (402), (439), (440),
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (441), (442), (448), (453), (458), (674), (687),
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (688), (860), (936), (970), (971), (976), (977),
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1604.
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (978) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (978) gives:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (979) all_56_4 = e3 & op(e3, e1) = e3
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (979) implies:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (980) all_56_4 = e3
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (968) gives:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (969), (980) are inconsistent by sub-proof
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1574.
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (981) all_56_5 = e2 & op(e2, e1) = e2
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (961), (981) are inconsistent by sub-proof
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1573.
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (982) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (982) gives:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (983) all_56_8 = e2 & op(e1, e1) = e2
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (983) implies:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (984) op(e1, e1) = e2
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (402), (984), (function-axioms) are
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (985) all_56_14 = e2 & op(e0, e1) = e2
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (985) implies:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (986) all_56_14 = e2
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (217), (402), (961), (980), (986),
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1571.
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (987) all_56_9 = e3 & op(e3, e0) = e3
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (987) implies:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (988) all_56_9 = e3
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (989) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (989) gives:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (990) all_56_1 = e3 & op(e3, e2) = e3
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (990) implies:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (991) all_56_1 = e3
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (992) op(e3, e2) = e3
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (121),
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (157), (159), (168), (169), (170), (202),
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (206), (207), (210), (212), (215), (217),
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (228), (230), (236), (239), (271),
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (272), (373), (380), (398), (402), (439), (440),
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (441), (442), (448), (453), (458), (674), (687),
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (688), (860), (936), (970), (971), (991), (992),
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1604.
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (993) all_56_3 = e3 & op(e2, e2) = e3
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (993) implies:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (994) op(e2, e2) = e3
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (994), (function-axioms) are
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (995) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (995) gives:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (996) all_56_7 = e3 & op(e1, e2) = e3
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (996) implies:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (997) all_56_7 = e3
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (957), (997) imply:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (998) e3 = e2
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (998) implies:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (999) e3 = e2
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (988), (999) imply:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1000) all_56_9 = e2
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (168), (206),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (212), (380), (441), (453), (674), (941),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1000), (function-axioms) are inconsistent by
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1797.
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1001) all_56_13 = e3 & op(e0, e2) = e3
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1001) implies:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1002) all_56_13 = e3
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (967), (1002), (function-axioms) are inconsistent
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1561.
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1003) all_56_5 = e2 & op(e2, e1) = e2
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1003) implies:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1004) all_56_5 = e2
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (961), (1004) imply:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1005) e3 = e2
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (967), (1005) imply:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1006) all_56_12 = e2
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (121),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (157), (159), (168), (169), (170), (202),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (206), (207), (209), (210), (212), (215),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (223), (224), (228), (230), (234), (236),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (271), (272), (373), (380), (398), (402),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (439), (440), (441), (442), (447), (448), (453),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (458), (674), (687), (688), (860), (936), (940),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (957), (1006), (function-axioms) are inconsistent
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1557.
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1007) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1007) gives:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1008) all_56_8 = e2 & op(e1, e1) = e2
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1008) implies:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1009) op(e1, e1) = e2
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (402), (1009), (function-axioms) are
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1010) all_56_14 = e2 & op(e0, e1) = e2
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1010) implies:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1011) all_56_14 = e2
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (206), (207),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (380), (447), (674), (940), (1011),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1628.
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1012) all_56_10 = e3 & op(e2, e0) = e3
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1012) implies:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1013) op(e2, e0) = e3
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (687), (688), (1013), (function-axioms) are
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1693.
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1014) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (402), (936), (1014), (function-axioms)
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1556.
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1015) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1015) gives:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1016) all_56_6 = e2 & op(e1, e3) = e2
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (944), (1016) are inconsistent by sub-proof
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1555.
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1017) all_56_12 = e2 & op(e0, e3) = e2
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1017) implies:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1018) all_56_12 = e2
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1019) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1019) gives:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1020) all_56_6 = e2 & op(e1, e3) = e2
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (944), (1020) are inconsistent by sub-proof
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1555.
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1021) all_56_7 = e2 & op(e1, e2) = e2
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1021) implies:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1022) all_56_7 = e2
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (121),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (157), (159), (168), (169), (170), (202),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (206), (207), (209), (210), (212), (215),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (223), (224), (228), (230), (234), (236),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (271), (272), (373), (380), (398), (402),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (439), (440), (441), (442), (447), (448), (453),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (458), (674), (687), (688), (860), (936), (940),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1018), (1022), (function-axioms) are inconsistent
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1557.
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1023) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (402), (936), (1023), (function-axioms)
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1556.
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1024) all_56_7 = e0 & op(e1, e2) = e0
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1024) implies:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1025) all_56_7 = e0
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1026) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1026) gives:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1027) all_56_1 = e2 & op(e3, e2) = e2
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1027) implies:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1028) all_56_1 = e2
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1029) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (121),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (157), (159), (168), (169), (170), (202),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (206), (207), (210), (212), (215), (217),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (228), (230), (234), (236), (239),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271), (272), (373), (380), (398), (402), (439),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (440), (441), (442), (448), (453), (458), (674),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (687), (688), (860), (936), (1029),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1558.
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1030) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1030) gives:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1031) all_56_7 = e3 & op(e1, e2) = e3
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1031) implies:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1032) all_56_7 = e3
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1025), (1032) are inconsistent by sub-proof
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1763.
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1033) all_56_13 = e3 & op(e0, e2) = e3
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1033) implies:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1034) all_56_13 = e3
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (860), (1025), (1028),
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1034), (function-axioms) are inconsistent by
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1550.
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1035) all_56_3 = e2 & op(e2, e2) = e2
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1035) implies:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1036) op(e2, e2) = e2
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (860), (1036), (function-axioms) are
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1835.
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1037) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1037) gives:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1038) all_56_7 = e2 & op(e1, e2) = e2
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1025), (1038) are inconsistent by sub-proof
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1549.
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1039) all_56_13 = e2 & op(e0, e2) = e2
% 241.39/41.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (447), (1039) are inconsistent by sub-proof
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1548.
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1040) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (402), (936), (1040), (function-axioms)
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1547.
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (1041) all_56_15 = e3 & op(e0, e0) = e3
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1041) implies:
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (1042) op(e0, e0) = e3
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (380), (1042), (function-axioms) are
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1874.
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | (1043) ~ (all_28_1 = e1) & op(e2, e0) = all_28_1 &
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (677), (1043), (function-axioms) are
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1545.
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.50 | | | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.50 | | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | End of split
% 241.39/41.50 | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.50 | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | (1044) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 241.39/41.50 | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 241.39/41.50 | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (160), (378), (399), (1044),
% 241.39/41.50 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.50 | | | | | | | | | | | | | | | | | #1544.
% 241.39/41.50 | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | End of split
% 241.39/41.50 | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | End of split
% 241.39/41.50 | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | Case 2:
% 241.39/41.50 | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | (1045) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 241.39/41.50 | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 241.39/41.50 | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | REF_CLOSE: (51), (157), (378), (398), (1045),
% 241.39/41.50 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.50 | | | | | | | | | | | | | | | #1543.
% 241.39/41.50 | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | End of split
% 241.39/41.50 | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | End of split
% 241.39/41.50 | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | Case 2:
% 241.39/41.50 | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | (1046) all_24_2 = e1
% 241.39/41.50 | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | COMBINE_EQS: (318), (1046) imply:
% 241.39/41.50 | | | | | | | | | | | | | (1047) all_4_2 = e1
% 241.39/41.50 | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | SIMP: (1047) implies:
% 241.39/41.50 | | | | | | | | | | | | | (1048) all_4_2 = e1
% 241.39/41.50 | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | REDUCE: (360), (1048) imply:
% 241.39/41.50 | | | | | | | | | | | | | (1049) ~ (all_52_13 = e1)
% 241.39/41.50 | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | REDUCE: (36), (1048) imply:
% 241.39/41.50 | | | | | | | | | | | | | (1050) op(e2, e2) = e1
% 241.39/41.50 | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | BETA: splitting (210) gives:
% 241.39/41.50 | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | Case 1:
% 241.39/41.50 | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | (1051) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 241.39/41.50 | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 241.39/41.50 | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | BETA: splitting (1051) gives:
% 241.39/41.50 | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | Case 1:
% 241.39/41.50 | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | (1052) all_56_9 = e1 & op(e3, e0) = e1
% 241.39/41.50 | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | ALPHA: (1052) implies:
% 241.39/41.50 | | | | | | | | | | | | | | | (1053) op(e3, e0) = e1
% 241.39/41.50 | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (39), (51), (112), (120), (121), (133),
% 241.39/41.50 | | | | | | | | | | | | | | | (157), (160), (162), (168), (169), (170), (202),
% 241.39/41.50 | | | | | | | | | | | | | | | (204), (238), (239), (271), (279), (344), (346),
% 241.39/41.50 | | | | | | | | | | | | | | | (348), (370), (374), (377), (380), (397), (402),
% 241.39/41.50 | | | | | | | | | | | | | | | (1050), (1053), (function-axioms) are inconsistent
% 241.39/41.50 | | | | | | | | | | | | | | | by sub-proof #1535.
% 241.39/41.50 | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | Case 2:
% 241.39/41.50 | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | (1054) all_56_10 = e1 & op(e2, e0) = e1
% 241.39/41.50 | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | ALPHA: (1054) implies:
% 241.39/41.50 | | | | | | | | | | | | | | | (1055) op(e2, e0) = e1
% 241.39/41.50 | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | REF_CLOSE: (164), (1049), (1055), (function-axioms) are
% 241.39/41.50 | | | | | | | | | | | | | | | inconsistent by sub-proof #1534.
% 241.39/41.50 | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | End of split
% 241.39/41.50 | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | Case 2:
% 241.39/41.50 | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | (1056) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 241.39/41.50 | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 241.39/41.50 | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | REF_CLOSE: (51), (160), (378), (399), (1056),
% 241.39/41.50 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.50 | | | | | | | | | | | | | | #1544.
% 241.39/41.50 | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | End of split
% 241.39/41.50 | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | End of split
% 241.39/41.50 | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | Case 2:
% 241.39/41.50 | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | (1057) all_54_10 = e0
% 241.39/41.50 | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | COMBINE_EQS: (336), (1057) imply:
% 241.39/41.50 | | | | | | | | | | | | (1058) all_10_2 = e0
% 241.39/41.50 | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | REDUCE: (384), (1058) imply:
% 241.39/41.50 | | | | | | | | | | | | (1059) $false
% 241.39/41.50 | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | CLOSE: (1059) is inconsistent.
% 241.39/41.50 | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | End of split
% 241.39/41.50 | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | End of split
% 241.39/41.50 | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | End of split
% 241.39/41.50 | | | | | | | | |
% 241.39/41.50 | | | | | | | | Case 2:
% 241.39/41.50 | | | | | | | | |
% 241.39/41.50 | | | | | | | | | (1060) all_22_2 = e0
% 241.39/41.50 | | | | | | | | | (1061) ( ~ (all_22_0 = e3) & op(all_22_1, all_22_1) =
% 241.39/41.50 | | | | | | | | | all_22_0 & op(e0, e1) = all_22_1 & $i(all_22_0) &
% 241.39/41.50 | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e2) & op(e0, e1) =
% 241.39/41.50 | | | | | | | | | all_22_1 & $i(all_22_1))
% 241.39/41.50 | | | | | | | | |
% 241.39/41.50 | | | | | | | | | COMBINE_EQS: (251), (1060) imply:
% 241.39/41.50 | | | | | | | | | (1062) all_10_2 = e0
% 241.39/41.50 | | | | | | | | |
% 241.39/41.50 | | | | | | | | | SIMP: (1062) implies:
% 241.39/41.50 | | | | | | | | | (1063) all_10_2 = e0
% 241.39/41.50 | | | | | | | | |
% 241.39/41.50 | | | | | | | | | COMBINE_EQS: (333), (1063) imply:
% 241.39/41.50 | | | | | | | | | (1064) all_38_2 = e0
% 241.39/41.50 | | | | | | | | |
% 241.39/41.50 | | | | | | | | | REDUCE: (350), (1063) imply:
% 241.39/41.50 | | | | | | | | | (1065) ~ (all_52_2 = e0)
% 241.39/41.50 | | | | | | | | |
% 241.39/41.50 | | | | | | | | | REDUCE: (364), (1063) imply:
% 241.39/41.50 | | | | | | | | | (1066) ~ (all_52_9 = e0)
% 241.39/41.50 | | | | | | | | |
% 241.39/41.50 | | | | | | | | | REDUCE: (366), (1063) imply:
% 241.39/41.50 | | | | | | | | | (1067) ~ (all_52_11 = e0)
% 241.39/41.50 | | | | | | | | |
% 241.39/41.50 | | | | | | | | | REDUCE: (368), (1063) imply:
% 241.39/41.50 | | | | | | | | | (1068) ~ (all_52_14 = e0)
% 241.39/41.50 | | | | | | | | |
% 241.39/41.50 | | | | | | | | | REDUCE: (382), (1063) imply:
% 241.39/41.50 | | | | | | | | | (1069) ~ (e3 = e0)
% 241.39/41.50 | | | | | | | | |
% 241.39/41.50 | | | | | | | | | REDUCE: (375), (1063) imply:
% 241.39/41.50 | | | | | | | | | (1070) ~ (e2 = e0)
% 241.39/41.50 | | | | | | | | |
% 241.39/41.50 | | | | | | | | | REDUCE: (45), (1063) imply:
% 241.39/41.50 | | | | | | | | | (1071) op(e1, e1) = e0
% 241.39/41.50 | | | | | | | | |
% 241.39/41.50 | | | | | | | | | BETA: splitting (67) gives:
% 241.39/41.50 | | | | | | | | |
% 241.39/41.50 | | | | | | | | | Case 1:
% 241.39/41.50 | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | (1072) ~ (all_24_2 = e1)
% 241.39/41.50 | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | REDUCE: (318), (1072) imply:
% 241.39/41.50 | | | | | | | | | | (1073) ~ (all_4_2 = e1)
% 241.39/41.50 | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | BETA: splitting (70) gives:
% 241.39/41.50 | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | Case 1:
% 241.39/41.50 | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | (1074) ~ (all_26_2 = e1)
% 241.39/41.50 | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | REDUCE: (307), (1074) imply:
% 241.39/41.50 | | | | | | | | | | | (1075) ~ (all_6_2 = e1)
% 241.39/41.50 | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | REF_CLOSE: (5), (6), (36), (39), (51), (73), (125), (139),
% 241.39/41.50 | | | | | | | | | | | (140), (158), (159), (164), (168), (170), (189),
% 241.39/41.50 | | | | | | | | | | | (190), (191), (192), (199), (204), (218), (219),
% 241.39/41.50 | | | | | | | | | | | (220), (230), (238), (239), (246), (247), (248),
% 241.39/41.50 | | | | | | | | | | | (249), (268), (279), (330), (342), (344), (348),
% 241.39/41.50 | | | | | | | | | | | (351), (352), (360), (362), (369), (370), (371),
% 241.39/41.50 | | | | | | | | | | | (373), (374), (377), (378), (380), (1067), (1071),
% 241.39/41.50 | | | | | | | | | | | (1073), (1075), (function-axioms) are inconsistent
% 241.39/41.50 | | | | | | | | | | | by sub-proof #1490.
% 241.39/41.50 | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | Case 2:
% 241.39/41.50 | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | (1076) all_26_2 = e1
% 241.39/41.50 | | | | | | | | | | | (1077) ( ~ (all_26_0 = e2) & op(all_26_1, all_26_1) =
% 241.39/41.50 | | | | | | | | | | | all_26_0 & op(e1, e3) = all_26_1 & $i(all_26_0)
% 241.39/41.50 | | | | | | | | | | | & $i(all_26_1)) | ( ~ (all_26_1 = e0) & op(e1,
% 241.39/41.50 | | | | | | | | | | | e3) = all_26_1 & $i(all_26_1))
% 241.39/41.50 | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | COMBINE_EQS: (307), (1076) imply:
% 241.39/41.50 | | | | | | | | | | | (1078) all_6_2 = e1
% 241.39/41.50 | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | COMBINE_EQS: (303), (1078) imply:
% 241.39/41.50 | | | | | | | | | | | (1079) all_42_2 = e1
% 241.39/41.50 | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | REDUCE: (338), (1078) imply:
% 241.39/41.50 | | | | | | | | | | | (1080) ~ (all_52_1 = e1)
% 241.39/41.50 | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | REDUCE: (342), (1078) imply:
% 241.39/41.50 | | | | | | | | | | | (1081) ~ (all_52_3 = e1)
% 241.39/41.50 | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | REDUCE: (344), (1078) imply:
% 241.39/41.50 | | | | | | | | | | | (1082) ~ (all_52_4 = e1)
% 241.39/41.50 | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | REDUCE: (346), (1078) imply:
% 241.39/41.50 | | | | | | | | | | | (1083) ~ (all_52_8 = e1)
% 241.39/41.50 | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | REDUCE: (348), (1078) imply:
% 241.39/41.50 | | | | | | | | | | | (1084) ~ (all_52_12 = e1)
% 241.39/41.50 | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | REDUCE: (377), (1078) imply:
% 241.39/41.50 | | | | | | | | | | | (1085) ~ (e2 = e1)
% 241.39/41.50 | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | REDUCE: (39), (1078) imply:
% 241.39/41.50 | | | | | | | | | | | (1086) op(e3, e3) = e1
% 241.39/41.50 | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | BETA: splitting (73) gives:
% 241.39/41.50 | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | Case 1:
% 241.39/41.50 | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | (1087) ~ (all_28_2 = e2)
% 241.39/41.50 | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | REDUCE: (330), (1087) imply:
% 241.39/41.50 | | | | | | | | | | | | (1088) ~ (all_14_2 = e2)
% 241.39/41.50 | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | BETA: splitting (189) gives:
% 241.39/41.50 | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | Case 1:
% 241.39/41.50 | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | (1089) all_54_15 = e3
% 241.39/41.50 | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | REF_CLOSE: (246), (380), (1089) are inconsistent by sub-proof
% 241.39/41.50 | | | | | | | | | | | | | #1489.
% 241.39/41.50 | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | Case 2:
% 241.39/41.50 | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | (1090) ~ (all_54_15 = e3)
% 241.39/41.50 | | | | | | | | | | | | | (1091) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 241.39/41.50 | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | BETA: splitting (1091) gives:
% 241.39/41.50 | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | Case 1:
% 241.39/41.50 | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | (1092) all_54_15 = e2
% 241.39/41.50 | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | REF_CLOSE: (246), (1088), (1092) are inconsistent by
% 241.39/41.50 | | | | | | | | | | | | | | sub-proof #1488.
% 241.39/41.50 | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | Case 2:
% 241.39/41.50 | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | (1093) ~ (all_54_15 = e2)
% 241.39/41.50 | | | | | | | | | | | | | | (1094) all_54_15 = e1 | all_54_15 = e0
% 241.39/41.50 | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | BETA: splitting (1094) gives:
% 241.39/41.50 | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | Case 1:
% 241.39/41.50 | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | (1095) all_54_15 = e1
% 241.39/41.50 | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | REF_CLOSE: (246), (378), (1095) are inconsistent by sub-proof
% 241.39/41.50 | | | | | | | | | | | | | | | #1487.
% 241.39/41.50 | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | Case 2:
% 241.39/41.50 | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | (1096) all_54_15 = e0
% 241.39/41.50 | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1096) imply:
% 241.39/41.50 | | | | | | | | | | | | | | | (1097) all_14_2 = e0
% 241.39/41.50 | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | SIMP: (1097) implies:
% 241.39/41.50 | | | | | | | | | | | | | | | (1098) all_14_2 = e0
% 241.39/41.50 | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | REDUCE: (351), (1098) imply:
% 241.39/41.50 | | | | | | | | | | | | | | | (1099) ~ (all_52_3 = e0)
% 241.39/41.50 | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | REDUCE: (370), (1098) imply:
% 241.39/41.50 | | | | | | | | | | | | | | | (1100) ~ (all_52_12 = e0)
% 241.39/41.50 | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | REDUCE: (378), (1098) imply:
% 241.39/41.50 | | | | | | | | | | | | | | | (1101) ~ (e1 = e0)
% 241.39/41.50 | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 241.39/41.50 | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | Case 1:
% 241.39/41.50 | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | (1102) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 241.39/41.50 | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 241.39/41.50 | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | BETA: splitting (1102) gives:
% 241.39/41.50 | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.50 | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | (1103) all_56_0 = e0 & op(e3, e3) = e0
% 241.39/41.50 | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | ALPHA: (1103) implies:
% 241.39/41.50 | | | | | | | | | | | | | | | | | (1104) op(e3, e3) = e0
% 241.39/41.50 | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1086), (1104), (function-axioms) are
% 241.39/41.50 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1832.
% 241.39/41.50 | | | | | | | | | | | | | | | | |
% 241.39/41.50 | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.50 | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | (1105) all_56_2 = e0 & op(e2, e3) = e0
% 241.39/41.51 | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | ALPHA: (1105) implies:
% 241.39/41.51 | | | | | | | | | | | | | | | | | (1106) all_56_2 = e0
% 241.39/41.51 | | | | | | | | | | | | | | | | | (1107) op(e2, e3) = e0
% 241.39/41.51 | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (120),
% 241.39/41.51 | | | | | | | | | | | | | | | | | (125), (126), (133), (135), (136), (143), (148),
% 241.39/41.51 | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (163), (164),
% 241.39/41.51 | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (191), (195),
% 241.39/41.51 | | | | | | | | | | | | | | | | | (199), (206), (207), (210), (211), (212), (213),
% 241.39/41.51 | | | | | | | | | | | | | | | | | (214), (215), (216), (218), (219), (220), (226),
% 241.39/41.51 | | | | | | | | | | | | | | | | | (228), (230), (233), (235), (236), (238), (239),
% 241.39/41.51 | | | | | | | | | | | | | | | | | (248), (258), (268), (349), (352), (354), (358),
% 241.39/41.51 | | | | | | | | | | | | | | | | | (360), (362), (372), (373), (378), (380), (1067),
% 241.39/41.51 | | | | | | | | | | | | | | | | | (1068), (1071), (1073), (1081), (1082), (1084),
% 241.39/41.51 | | | | | | | | | | | | | | | | | (1086), (1099), (1100), (1106), (1107),
% 241.39/41.51 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.51 | | | | | | | | | | | | | | | | | #1445.
% 241.39/41.51 | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | End of split
% 241.39/41.51 | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | Case 2:
% 241.39/41.51 | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | (1108) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 241.39/41.51 | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 241.39/41.51 | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (1065), (1099), (1108),
% 241.39/41.51 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.51 | | | | | | | | | | | | | | | | #1443.
% 241.39/41.51 | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | End of split
% 241.39/41.51 | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | End of split
% 241.39/41.51 | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | End of split
% 241.39/41.51 | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | End of split
% 241.39/41.51 | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | Case 2:
% 241.39/41.51 | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | (1109) all_28_2 = e2
% 241.39/41.51 | | | | | | | | | | | | (1110) ( ~ (all_28_0 = e3) & op(all_28_1, all_28_1) =
% 241.39/41.51 | | | | | | | | | | | | all_28_0 & op(e2, e0) = all_28_1 & $i(all_28_0)
% 241.39/41.51 | | | | | | | | | | | | & $i(all_28_1)) | ( ~ (all_28_1 = e1) & op(e2,
% 241.39/41.51 | | | | | | | | | | | | e0) = all_28_1 & $i(all_28_1))
% 241.39/41.51 | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | COMBINE_EQS: (330), (1109) imply:
% 241.39/41.51 | | | | | | | | | | | | (1111) all_14_2 = e2
% 241.39/41.51 | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | SIMP: (1111) implies:
% 241.39/41.51 | | | | | | | | | | | | (1112) all_14_2 = e2
% 241.39/41.51 | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | COMBINE_EQS: (297), (1112) imply:
% 241.39/41.51 | | | | | | | | | | | | (1113) all_50_2 = e2
% 241.39/41.51 | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | REDUCE: (370), (1112) imply:
% 241.39/41.51 | | | | | | | | | | | | (1114) ~ (all_52_12 = e2)
% 241.39/41.51 | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | REDUCE: (371), (1112) imply:
% 241.39/41.51 | | | | | | | | | | | | (1115) ~ (all_52_13 = e2)
% 241.39/41.51 | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | REDUCE: (372), (1112) imply:
% 241.39/41.51 | | | | | | | | | | | | (1116) ~ (all_52_14 = e2)
% 241.39/41.51 | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | REDUCE: (380), (1112) imply:
% 241.39/41.51 | | | | | | | | | | | | (1117) ~ (e3 = e2)
% 241.39/41.51 | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | REDUCE: (51), (1112) imply:
% 241.39/41.51 | | | | | | | | | | | | (1118) op(e0, e0) = e2
% 241.39/41.51 | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | BETA: splitting (79) gives:
% 241.39/41.51 | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | Case 1:
% 241.39/41.51 | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | (1119) ~ (all_32_2 = e0)
% 241.39/41.51 | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | REDUCE: (314), (1119) imply:
% 241.39/41.51 | | | | | | | | | | | | | (1120) ~ (all_4_2 = e0)
% 241.39/41.51 | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | BETA: splitting (199) gives:
% 241.39/41.51 | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | Case 1:
% 241.39/41.51 | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | (1121) all_54_5 = e3
% 241.39/41.51 | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | COMBINE_EQS: (268), (1121) imply:
% 241.39/41.51 | | | | | | | | | | | | | | (1122) all_4_2 = e3
% 241.39/41.51 | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | REDUCE: (373), (1122) imply:
% 241.39/41.51 | | | | | | | | | | | | | | (1123) $false
% 241.39/41.51 | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | CLOSE: (1123) is inconsistent.
% 241.39/41.51 | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | Case 2:
% 241.39/41.51 | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | (1124) ~ (all_54_5 = e3)
% 241.39/41.51 | | | | | | | | | | | | | | (1125) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 241.39/41.51 | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | BETA: splitting (1125) gives:
% 241.39/41.51 | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | Case 1:
% 241.39/41.51 | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | (1126) all_54_5 = e2
% 241.39/41.51 | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | COMBINE_EQS: (268), (1126) imply:
% 241.39/41.51 | | | | | | | | | | | | | | | (1127) all_4_2 = e2
% 241.39/41.51 | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | REDUCE: (356), (1127) imply:
% 241.39/41.51 | | | | | | | | | | | | | | | (1128) ~ (all_52_7 = e2)
% 241.39/41.51 | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | REDUCE: (36), (1127) imply:
% 241.39/41.51 | | | | | | | | | | | | | | | (1129) op(e2, e2) = e2
% 241.39/41.51 | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 241.39/41.51 | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | Case 1:
% 241.39/41.51 | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | (1130) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 241.39/41.51 | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 241.39/41.51 | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (268), (349), (1073), (1086), (1120),
% 241.39/41.51 | | | | | | | | | | | | | | | | (1125), (1130), (function-axioms) are inconsistent
% 241.39/41.51 | | | | | | | | | | | | | | | | by sub-proof #1480.
% 241.39/41.51 | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | Case 2:
% 241.39/41.51 | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | (1131) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 241.39/41.51 | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 241.39/41.51 | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | BETA: splitting (1131) gives:
% 241.39/41.51 | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.51 | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | (1132) all_56_6 = e2 & op(e1, e3) = e2
% 241.39/41.51 | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (94),
% 241.39/41.51 | | | | | | | | | | | | | | | | | (110), (112), (113), (117), (118), (120), (121),
% 241.39/41.51 | | | | | | | | | | | | | | | | | (123), (125), (128), (133), (139), (140), (141),
% 241.39/41.51 | | | | | | | | | | | | | | | | | (144), (145), (146), (148), (149), (157), (158),
% 241.39/41.51 | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 241.39/41.51 | | | | | | | | | | | | | | | | | (168), (169), (170), (190), (191), (192), (193),
% 241.39/41.51 | | | | | | | | | | | | | | | | | (197), (198), (200), (201), (203), (206), (207),
% 241.39/41.51 | | | | | | | | | | | | | | | | | (209), (210), (214), (215), (216), (219), (220),
% 241.39/41.51 | | | | | | | | | | | | | | | | | (221), (222), (224), (225), (226), (227), (228),
% 241.39/41.51 | | | | | | | | | | | | | | | | | (229), (230), (231), (233), (235), (236), (238),
% 241.39/41.51 | | | | | | | | | | | | | | | | | (247), (248), (249), (250), (260), (261), (268),
% 241.39/41.51 | | | | | | | | | | | | | | | | | (269), (270), (272), (349), (358), (373), (380),
% 241.39/41.51 | | | | | | | | | | | | | | | | | (1066), (1067), (1068), (1071), (1073), (1077),
% 241.39/41.51 | | | | | | | | | | | | | | | | | (1079), (1080), (1081), (1082), (1083), (1084),
% 241.39/41.51 | | | | | | | | | | | | | | | | | (1086), (1115), (1118), (1120), (1125), (1128),
% 241.39/41.51 | | | | | | | | | | | | | | | | | (1129), (1132), (function-axioms) are inconsistent
% 241.39/41.51 | | | | | | | | | | | | | | | | | by sub-proof #1367.
% 241.39/41.51 | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.51 | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | (1133) all_56_12 = e2 & op(e0, e3) = e2
% 241.39/41.51 | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | ALPHA: (1133) implies:
% 241.39/41.51 | | | | | | | | | | | | | | | | | (1134) all_56_12 = e2
% 241.39/41.51 | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 241.39/41.51 | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.51 | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | (1135) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 241.39/41.51 | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 241.39/41.51 | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | BETA: splitting (1135) gives:
% 241.39/41.51 | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.51 | | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | (1136) all_56_6 = e2 & op(e1, e3) = e2
% 241.39/41.51 | | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (94),
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | (110), (112), (113), (117), (118), (120), (121),
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | (123), (125), (128), (133), (139), (140), (141),
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | (144), (145), (146), (148), (149), (157), (158),
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | (168), (169), (170), (190), (191), (192), (193),
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | (197), (198), (200), (201), (203), (206), (207),
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | (209), (210), (214), (215), (216), (219), (220),
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | (221), (222), (224), (225), (226), (227), (228),
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | (229), (230), (231), (233), (235), (236), (238),
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | (247), (248), (249), (250), (260), (261), (268),
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | (269), (270), (272), (349), (358), (373), (380),
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | (1066), (1067), (1068), (1071), (1073), (1077),
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | (1079), (1080), (1081), (1082), (1083), (1084),
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | (1086), (1115), (1118), (1120), (1125), (1128),
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | (1129), (1136), (function-axioms) are inconsistent
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | by sub-proof #1367.
% 241.39/41.51 | | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.51 | | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | (1137) all_56_7 = e2 & op(e1, e2) = e2
% 241.39/41.51 | | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | ALPHA: (1137) implies:
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | (1138) all_56_7 = e2
% 241.39/41.51 | | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 241.39/41.51 | | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | (1139) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (1073), (1082), (1139),
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | #1476.
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | (1140) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1140) gives:
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | | (1141) all_56_7 = e1 & op(e1, e2) = e1
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1138), (1141) are inconsistent by sub-proof
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | | #1366.
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | | (1142) all_56_13 = e1 & op(e0, e2) = e1
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1142) implies:
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | | (1143) all_56_13 = e1
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | | | (1144) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1144) gives:
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | | | | (1145) all_56_1 = e0 & op(e3, e2) = e0
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1145) implies:
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | | | | (1146) all_56_1 = e0
% 241.39/41.51 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (206), (207),
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | (228), (373), (1118), (1134), (1138), (1146),
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | #1673.
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | (1147) all_56_3 = e0 & op(e2, e2) = e0
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1147) implies:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | (1148) op(e2, e2) = e0
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1129), (1148), (function-axioms) are
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1835.
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | (1149) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1149) gives:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | (1150) all_56_7 = e0 & op(e1, e2) = e0
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1138), (1150) are inconsistent by sub-proof
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | #1684.
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | (1151) all_56_13 = e0 & op(e0, e2) = e0
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1143), (1151) are inconsistent by sub-proof
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | #1728.
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.52 | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.52 | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.52 | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | (1152) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 241.39/41.52 | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 241.39/41.52 | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | BETA: splitting (1152) gives:
% 241.39/41.52 | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | (1153) all_56_8 = e2 & op(e1, e1) = e2
% 241.39/41.52 | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | ALPHA: (1153) implies:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | (1154) op(e1, e1) = e2
% 241.39/41.52 | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1071), (1154), (function-axioms) are
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1523.
% 241.39/41.52 | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | (1155) all_56_11 = e2 & op(e1, e0) = e2
% 241.39/41.52 | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | ALPHA: (1155) implies:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | (1156) all_56_11 = e2
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | (1157) op(e1, e0) = e2
% 241.39/41.52 | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | (1158) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1158) gives:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | (1159) all_56_6 = e1 & op(e1, e3) = e1
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1159) implies:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | (1160) all_56_6 = e1
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | (1161) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1161) gives:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | (1162) all_56_9 = e1 & op(e3, e0) = e1
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1162) implies:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | (1163) op(e3, e0) = e1
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (1084), (1163), (function-axioms) are
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1848.
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | (1164) all_56_10 = e1 & op(e2, e0) = e1
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1164) implies:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | (1165) all_56_10 = e1
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | (1166) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1166) gives:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1167) all_56_4 = e2 & op(e3, e1) = e2
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1167) implies:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1168) all_56_4 = e2
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (1169) all_56_15 = e0 & op(e0, e0) = e0
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1169) implies:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (1170) op(e0, e0) = e0
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1118), (1170), (function-axioms) are
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1842.
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (1171) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1171) implies:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (1172) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (1173) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1174) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1174) gives:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1175) all_56_0 = e0 & op(e3, e3) = e0
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1175) implies:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1176) op(e3, e3) = e0
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1086), (1176), (function-axioms) are
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1832.
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1177) all_56_2 = e0 & op(e2, e3) = e0
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1177) implies:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1178) all_56_2 = e0
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1179) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1179) gives:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1180) all_56_9 = e3 & op(e3, e0) = e3
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1180) implies:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1181) all_56_9 = e3
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1172) gives:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1182) all_56_12 = e0 & op(e0, e3) = e0
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1182) implies:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1183) all_56_12 = e0
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (233), (235), (1086),
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1178), (1183), (function-axioms) are inconsistent
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1643.
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1184) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1184) gives:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1185) all_56_13 = e0 & op(e0, e2) = e0
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1185) implies:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1186) all_56_13 = e0
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1187) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (373), (1178), (1187),
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1365.
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1188) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1188) gives:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1189) all_56_5 = e3 & op(e2, e1) = e3
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1189) implies:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1190) all_56_5 = e3
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1191) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1191) gives:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1192) all_56_12 = e1 & op(e0, e3) = e1
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1192) implies:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1193) op(e0, e3) = e1
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (1081), (1193), (function-axioms) are
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1849.
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1194) all_56_13 = e1 & op(e0, e2) = e1
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1194) implies:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1195) all_56_13 = e1
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1186), (1195) imply:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1196) e1 = e0
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1165), (1196) imply:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1197) all_56_10 = e0
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (51), (168), (210), (378), (1084),
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1157), (1197), (function-axioms) are inconsistent
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1659.
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1198) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1198) gives:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1199) all_56_14 = e1 & op(e0, e1) = e1
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1199) implies:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1200) all_56_14 = e1
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1201) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (1086), (1178), (1201),
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1651.
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1202) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1202) gives:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1203) all_56_6 = e3 & op(e1, e3) = e3
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1203) implies:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1204) all_56_6 = e3
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1160), (1204) imply:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1205) e3 = e1
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1190), (1205) imply:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1206) all_56_5 = e1
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (1071),
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1200), (1206), (function-axioms) are inconsistent
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1409.
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1207) all_56_12 = e3 & op(e0, e3) = e3
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1207) implies:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1208) all_56_12 = e3
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1134), (1208) imply:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1209) e3 = e2
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1181), (1209) imply:
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1210) all_56_9 = e2
% 241.39/41.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (168), (206),
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (212), (380), (1084), (1118), (1165),
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1173), (1210), (function-axioms) are inconsistent
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1797.
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1211) all_56_15 = e1 & op(e0, e0) = e1
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1211) implies:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1212) op(e0, e0) = e1
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1118), (1212), (function-axioms) are
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1213) all_56_10 = e3 & op(e2, e0) = e3
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1213) implies:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1214) all_56_10 = e3
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (206), (210), (1118),
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1156), (1157), (1214), (function-axioms) are
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1664.
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1215) all_56_14 = e0 & op(e0, e1) = e0
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1215) implies:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1216) op(e0, e1) = e0
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (1067), (1216), (function-axioms) are
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1826.
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1217) all_56_10 = e3 & op(e2, e0) = e3
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1217) implies:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1218) all_56_10 = e3
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (206), (210), (1118),
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1156), (1157), (1218), (function-axioms) are
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1664.
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1219) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (51), (380), (1156), (1219),
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1637.
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1220) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (218), (219),
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (1065), (1071), (1134), (1168), (1220),
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1364.
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | (1221) all_56_5 = e2 & op(e2, e1) = e2
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1221) implies:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | (1222) op(e2, e1) = e2
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (268), (358), (1073), (1120), (1125),
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | (1222), (function-axioms) are inconsistent by
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1837.
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | (1223) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (159), (206),
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (380), (1071), (1081), (1118),
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | (1223), (function-axioms) are inconsistent by
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1368.
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | (1224) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (215), (216), (1071),
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | (1118), (1160), (1224), (function-axioms) are
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1360.
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | (1225) all_56_7 = e1 & op(e1, e2) = e1
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1225) implies:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | (1226) all_56_7 = e1
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | (1227) all_56_15 = e0 & op(e0, e0) = e0
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1227) implies:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | (1228) op(e0, e0) = e0
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1118), (1228), (function-axioms) are
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1842.
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | (1229) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1229) implies:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | (1230) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | (1231) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1231) gives:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | (1232) all_56_9 = e3 & op(e3, e0) = e3
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1232) implies:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | (1233) all_56_9 = e3
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | (1234) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1234) gives:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (1235) all_56_0 = e0 & op(e3, e3) = e0
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1235) implies:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (1236) op(e3, e3) = e0
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1086), (1236), (function-axioms) are
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1832.
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (1237) all_56_1 = e0 & op(e3, e2) = e0
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1237) implies:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (1238) all_56_1 = e0
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1239) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (373), (1238), (1239),
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1820.
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1240) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1240) gives:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1241) all_56_7 = e3 & op(e1, e2) = e3
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1226), (1241) are inconsistent by sub-proof
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1389.
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1242) all_56_13 = e3 & op(e0, e2) = e3
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1242) implies:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1243) all_56_13 = e3
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (207), (1118), (1134),
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1230), (1243), (function-axioms) are inconsistent
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1675.
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | (1244) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1244) gives:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (1245) all_56_4 = e0 & op(e3, e1) = e0
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1245) implies:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (1246) all_56_4 = e0
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (1071), (1246), (function-axioms) are inconsistent
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1515.
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (1247) all_56_9 = e0 & op(e3, e0) = e0
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1233), (1247) are inconsistent by sub-proof
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | | #1639.
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | (1248) all_56_10 = e3 & op(e2, e0) = e3
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1248) implies:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | (1249) all_56_10 = e3
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (206), (210), (1118),
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | (1156), (1157), (1249), (function-axioms) are
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1664.
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | (1250) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (51), (380), (1156), (1250),
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | | #1637.
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | (1251) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (1071), (1157), (1251),
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | | #1359.
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | Case 2:
% 241.39/41.53 | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | (1252) all_54_5 = e1 | all_54_5 = e0
% 241.39/41.53 | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | | REF_CLOSE: (268), (1073), (1120), (1252) are inconsistent by
% 241.39/41.53 | | | | | | | | | | | | | | | sub-proof #1845.
% 241.39/41.53 | | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | End of split
% 241.39/41.53 | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | Case 2:
% 241.39/41.53 | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | (1253) all_32_2 = e0
% 241.39/41.53 | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | COMBINE_EQS: (314), (1253) imply:
% 241.39/41.53 | | | | | | | | | | | | | (1254) all_4_2 = e0
% 241.39/41.53 | | | | | | | | | | | | |
% 241.39/41.53 | | | | | | | | | | | | | SIMP: (1254) implies:
% 241.39/41.54 | | | | | | | | | | | | | (1255) all_4_2 = e0
% 241.39/41.54 | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | REDUCE: (1073), (1255) imply:
% 241.39/41.54 | | | | | | | | | | | | | (1256) ~ (e1 = e0)
% 241.39/41.54 | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | REDUCE: (36), (1255) imply:
% 241.39/41.54 | | | | | | | | | | | | | (1257) op(e2, e2) = e0
% 241.39/41.54 | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | BETA: splitting (206) gives:
% 241.39/41.54 | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | Case 1:
% 241.39/41.54 | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | (1258) all_56_15 = e0 & op(e0, e0) = e0
% 241.39/41.54 | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | ALPHA: (1258) implies:
% 241.39/41.54 | | | | | | | | | | | | | | (1259) op(e0, e0) = e0
% 241.39/41.54 | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | REF_CLOSE: (5), (1118), (1259), (function-axioms) are
% 241.39/41.54 | | | | | | | | | | | | | | inconsistent by sub-proof #1842.
% 241.39/41.54 | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | Case 2:
% 241.39/41.54 | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | (1260) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 241.39/41.54 | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 241.39/41.54 | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 241.39/41.54 | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 241.39/41.54 | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 241.39/41.54 | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | ALPHA: (1260) implies:
% 241.39/41.54 | | | | | | | | | | | | | | (1261) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 241.39/41.54 | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 241.39/41.54 | | | | | | | | | | | | | | e0) = e0)
% 241.39/41.54 | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 241.39/41.54 | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | Case 1:
% 241.39/41.54 | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | (1262) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 241.39/41.54 | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 241.39/41.54 | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | BETA: splitting (1262) gives:
% 241.39/41.54 | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | Case 1:
% 241.39/41.54 | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | (1263) all_56_0 = e0 & op(e3, e3) = e0
% 241.39/41.54 | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | ALPHA: (1263) implies:
% 241.39/41.54 | | | | | | | | | | | | | | | | (1264) op(e3, e3) = e0
% 241.39/41.54 | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1086), (1264), (function-axioms) are
% 241.39/41.54 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1832.
% 241.39/41.54 | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | Case 2:
% 241.39/41.54 | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | (1265) all_56_2 = e0 & op(e2, e3) = e0
% 241.39/41.54 | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | ALPHA: (1265) implies:
% 241.39/41.54 | | | | | | | | | | | | | | | | (1266) all_56_2 = e0
% 241.39/41.54 | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 241.39/41.54 | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.54 | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | (1267) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 241.39/41.54 | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 241.39/41.54 | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (1086), (1266), (1267),
% 241.39/41.54 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.54 | | | | | | | | | | | | | | | | | #1657.
% 241.39/41.54 | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.54 | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | (1268) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 241.39/41.54 | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 241.39/41.54 | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | BETA: splitting (1268) gives:
% 241.39/41.54 | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.54 | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | (1269) all_56_6 = e2 & op(e1, e3) = e2
% 241.39/41.54 | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | ALPHA: (1269) implies:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | (1270) all_56_6 = e2
% 241.39/41.54 | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 241.39/41.54 | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | (1271) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 241.39/41.54 | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (1086), (1266), (1271),
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | #1358.
% 241.39/41.54 | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | (1272) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 241.39/41.54 | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | BETA: splitting (1272) gives:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | (1273) all_56_6 = e3 & op(e1, e3) = e3
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | ALPHA: (1273) implies:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | (1274) all_56_6 = e3
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1270), (1274) are inconsistent by sub-proof
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | #1406.
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | (1275) all_56_12 = e3 & op(e0, e3) = e3
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | ALPHA: (1275) implies:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | (1276) all_56_12 = e3
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | (1277) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1277) gives:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | (1278) all_56_2 = e2 & op(e2, e3) = e2
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1278) implies:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | (1279) all_56_2 = e2
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1266), (1279) imply:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | (1280) e2 = e0
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1280) implies:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | (1281) e2 = e0
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1270), (1281) imply:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | (1282) all_56_6 = e0
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (1086), (1266), (1276),
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | (1282), (function-axioms) are inconsistent by
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1654.
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | (1283) all_56_3 = e2 & op(e2, e2) = e2
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1283) implies:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | (1284) op(e2, e2) = e2
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1257), (1284), (function-axioms) are
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1835.
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | (1285) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (36), (164), (222),
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | (224), (373), (1115), (1257), (1266), (1285),
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | #1357.
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.54 | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.54 | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.54 | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | (1286) all_56_12 = e2 & op(e0, e3) = e2
% 241.39/41.54 | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | ALPHA: (1286) implies:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | (1287) all_56_12 = e2
% 241.39/41.54 | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 241.39/41.54 | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | (1288) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 241.39/41.54 | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (1086), (1266), (1288),
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | #1358.
% 241.39/41.54 | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | (1289) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 241.39/41.54 | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | BETA: splitting (1289) gives:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | (1290) all_56_6 = e3 & op(e1, e3) = e3
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | ALPHA: (1290) implies:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | (1291) all_56_6 = e3
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | (1292) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1292) gives:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | (1293) all_56_2 = e2 & op(e2, e3) = e2
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1293) implies:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | (1294) all_56_2 = e2
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1266), (1294) imply:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | (1295) e2 = e0
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1295) implies:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | (1296) e2 = e0
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1287), (1296) imply:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | (1297) all_56_12 = e0
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (1086), (1266), (1291),
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | (1297), (function-axioms) are inconsistent by
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1645.
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | (1298) all_56_3 = e2 & op(e2, e2) = e2
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1298) implies:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | (1299) op(e2, e2) = e2
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1257), (1299), (function-axioms) are
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1835.
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | (1300) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (36), (164), (222),
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | (224), (373), (1115), (1257), (1266), (1300),
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | #1357.
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | (1301) all_56_12 = e3 & op(e0, e3) = e3
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | ALPHA: (1301) implies:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | (1302) all_56_12 = e3
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1287), (1302) are inconsistent by sub-proof
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | #1560.
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.54 | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.54 | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | End of split
% 241.39/41.54 | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | End of split
% 241.39/41.54 | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | End of split
% 241.39/41.54 | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | Case 2:
% 241.39/41.54 | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | (1303) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 241.39/41.54 | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 241.39/41.54 | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | BETA: splitting (1303) gives:
% 241.39/41.54 | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | Case 1:
% 241.39/41.54 | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | (1304) all_56_6 = e0 & op(e1, e3) = e0
% 241.39/41.54 | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | ALPHA: (1304) implies:
% 241.39/41.54 | | | | | | | | | | | | | | | | (1305) op(e1, e3) = e0
% 241.39/41.54 | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1065), (1305), (function-axioms) are
% 241.39/41.54 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1444.
% 241.39/41.54 | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | Case 2:
% 241.39/41.54 | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | (1306) all_56_12 = e0 & op(e0, e3) = e0
% 241.39/41.54 | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | ALPHA: (1306) implies:
% 241.39/41.54 | | | | | | | | | | | | | | | | (1307) all_56_12 = e0
% 241.39/41.54 | | | | | | | | | | | | | | | | (1308) op(e0, e3) = e0
% 241.39/41.54 | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 241.39/41.54 | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.54 | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | (1309) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 241.39/41.54 | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 241.39/41.54 | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | BETA: splitting (1309) gives:
% 241.39/41.54 | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.54 | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | (1310) all_56_0 = e0 & op(e3, e3) = e0
% 241.39/41.54 | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | ALPHA: (1310) implies:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | (1311) op(e3, e3) = e0
% 241.39/41.54 | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1086), (1311), (function-axioms) are
% 241.39/41.54 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1832.
% 241.39/41.54 | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.54 | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | (1312) all_56_1 = e0 & op(e3, e2) = e0
% 241.39/41.54 | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | ALPHA: (1312) implies:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | (1313) all_56_1 = e0
% 241.39/41.54 | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | BETA: splitting (1261) gives:
% 241.39/41.54 | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | (1314) all_56_9 = e0 & op(e3, e0) = e0
% 241.39/41.54 | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | ALPHA: (1314) implies:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | (1315) all_56_9 = e0
% 241.39/41.54 | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (169), (232),
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | (234), (236), (1084), (1086), (1313), (1315),
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | #1348.
% 241.39/41.54 | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | (1316) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 241.39/41.54 | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | BETA: splitting (1316) gives:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | (1317) all_56_10 = e0 & op(e2, e0) = e0
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | ALPHA: (1317) implies:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | (1318) all_56_10 = e0
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | (1319) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (168), (1084), (1318), (1319),
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | #1661.
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.54 | | | | | | | | | | | | | | | | | | | | | (1320) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1320) gives:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | (1321) all_56_11 = e1 & op(e1, e0) = e1
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1321) implies:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | (1322) all_56_11 = e1
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | (1323) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (233), (235),
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | (1086), (1257), (1307), (1323), (function-axioms)
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1347.
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | (1324) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1324) gives:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | (1325) all_56_5 = e1 & op(e2, e1) = e1
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1325) implies:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | (1326) all_56_5 = e1
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | (1327) op(e2, e1) = e1
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | (1328) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1328) gives:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (1329) all_56_2 = e3 & op(e2, e3) = e3
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1329) implies:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (1330) all_56_2 = e3
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1331) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (1086), (1313), (1331),
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1602.
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1332) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1332) gives:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1333) all_56_4 = e2 & op(e3, e1) = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1333) implies:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1334) all_56_4 = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1335) op(e3, e1) = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1336) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (1086), (1330), (1336),
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1345.
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1337) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1337) gives:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1338) all_56_6 = e2 & op(e1, e3) = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1338) implies:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1339) all_56_6 = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1340) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (229), (231),
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (1081), (1307), (1313), (1330),
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1339), (1340), (function-axioms) are inconsistent
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1421.
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1341) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1341) gives:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1342) all_56_4 = e3 & op(e3, e1) = e3
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1342) implies:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1343) op(e3, e1) = e3
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (169), (1335), (1343), (function-axioms) are
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1722.
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1344) all_56_9 = e3 & op(e3, e0) = e3
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1344) implies:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1345) all_56_9 = e3
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1346) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1346) gives:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347) all_56_2 = e2 & op(e2, e3) = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1347) implies:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1348) all_56_2 = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1330), (1348) imply:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1349) e3 = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1349) implies:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1350) e3 = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1345), (1350) imply:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1351) all_56_9 = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (159), (169),
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (209), (219), (229), (231), (233),
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (380), (1071), (1081), (1118),
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1307), (1313), (1327), (1330), (1339), (1351),
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1342.
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1352) all_56_3 = e2 & op(e2, e2) = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1352) implies:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1353) op(e2, e2) = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1257), (1353), (function-axioms) are
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1835.
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1354) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1354) gives:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1355) all_56_5 = e2 & op(e2, e1) = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1355) implies:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1356) op(e2, e1) = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1327), (1356), (function-axioms) are
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1582.
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1357) all_56_10 = e2 & op(e2, e0) = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1357) implies:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1358) op(e2, e0) = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (1115), (1358), (function-axioms) are
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1493.
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1359) all_56_12 = e2 & op(e0, e3) = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1359) implies:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1360) all_56_12 = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1307), (1360) imply:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1361) e2 = e0
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1361) implies:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1362) e2 = e0
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1334), (1362) imply:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1363) all_56_4 = e0
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (1071),
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1326), (1363), (function-axioms) are inconsistent
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1521.
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1364) all_56_9 = e2 & op(e3, e0) = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1364) implies:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1365) all_56_9 = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1366) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (1086), (1330), (1366),
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1345.
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1367) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1367) gives:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1368) all_56_6 = e2 & op(e1, e3) = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1368) implies:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1369) all_56_6 = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (159), (169),
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (209), (219), (229), (231), (233),
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (380), (1071), (1081), (1118),
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1307), (1313), (1327), (1330), (1365), (1369),
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1342.
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1370) all_56_12 = e2 & op(e0, e3) = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1370) implies:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1371) all_56_12 = e2
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1307), (1371) imply:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1372) e2 = e0
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (169), (232),
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (1084), (1086), (1313), (1365),
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1372), (function-axioms) are inconsistent by
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1341.
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (1373) all_56_3 = e3 & op(e2, e2) = e3
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1373) implies:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (1374) op(e2, e2) = e3
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (1374), (function-axioms) are
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | (1375) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1375) gives:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (1376) all_56_5 = e3 & op(e2, e1) = e3
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1376) implies:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (1377) all_56_5 = e3
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1326), (1377) are inconsistent by sub-proof
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | #1526.
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (1378) all_56_10 = e3 & op(e2, e0) = e3
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1378) implies:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (1379) all_56_10 = e3
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1318), (1379) are inconsistent by sub-proof
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | | #1667.
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | (1380) all_56_10 = e1 & op(e2, e0) = e1
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1380) implies:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | (1381) all_56_10 = e1
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1318), (1381) imply:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | (1382) e1 = e0
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1382) implies:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | (1383) e1 = e0
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1322), (1383) imply:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | (1384) all_56_11 = e0
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (214),
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (226), (227), (228), (373), (1071),
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | (1082), (1257), (1313), (1384), (function-axioms)
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1333.
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | (1385) all_56_15 = e1 & op(e0, e0) = e1
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1385) implies:
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | | (1386) op(e0, e0) = e1
% 241.39/41.55 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1118), (1386), (function-axioms) are
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | (1387) all_56_11 = e0 & op(e1, e0) = e0
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | ALPHA: (1387) implies:
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | (1388) all_56_11 = e0
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (214),
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | (215), (216), (226), (227), (228), (373), (1071),
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | (1082), (1257), (1313), (1388), (function-axioms)
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1333.
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.56 | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.56 | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | End of split
% 241.39/41.56 | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.56 | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | (1389) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 241.39/41.56 | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 241.39/41.56 | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | BETA: splitting (1389) gives:
% 241.39/41.56 | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.56 | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | (1390) all_56_4 = e0 & op(e3, e1) = e0
% 241.39/41.56 | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | ALPHA: (1390) implies:
% 241.39/41.56 | | | | | | | | | | | | | | | | | | (1391) all_56_4 = e0
% 241.39/41.56 | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 241.39/41.56 | | | | | | | | | | | | | | | | | | (1071), (1391), (function-axioms) are inconsistent
% 241.39/41.56 | | | | | | | | | | | | | | | | | | by sub-proof #1515.
% 241.39/41.56 | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.56 | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | (1392) all_56_9 = e0 & op(e3, e0) = e0
% 241.39/41.56 | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | ALPHA: (1392) implies:
% 241.39/41.56 | | | | | | | | | | | | | | | | | | (1393) all_56_9 = e0
% 241.39/41.56 | | | | | | | | | | | | | | | | | | (1394) op(e3, e0) = e0
% 241.39/41.56 | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 241.39/41.56 | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (1308) gives:
% 241.39/41.56 | | | | | | | | | | | | | | | | | | (1395) all_52_3 = e0
% 241.39/41.56 | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 241.39/41.56 | | | | | | | | | | | | | | | | | | e0, e0, e3, simplifying with (168), (1394) gives:
% 241.39/41.56 | | | | | | | | | | | | | | | | | | (1396) all_52_12 = e0
% 241.39/41.56 | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | REDUCE: (120), (1396) imply:
% 241.39/41.56 | | | | | | | | | | | | | | | | | | (1397) ~ (all_52_8 = e0)
% 241.39/41.56 | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | REDUCE: (113), (1396) imply:
% 241.39/41.56 | | | | | | | | | | | | | | | | | | (1398) ~ (all_52_13 = e0)
% 241.39/41.56 | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | SIMP: (1398) implies:
% 241.39/41.56 | | | | | | | | | | | | | | | | | | (1399) ~ (all_52_13 = e0)
% 241.39/41.56 | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | REDUCE: (112), (1396) imply:
% 241.39/41.56 | | | | | | | | | | | | | | | | | | (1400) ~ (all_52_14 = e0)
% 241.39/41.56 | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 241.39/41.56 | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.56 | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | (1401) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 241.39/41.56 | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (1401) gives:
% 241.39/41.56 | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | (1402) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | $i(all_57_16))) & ((all_57_30 = e3 & op(e1,
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | e1) = e3) | ( ~ (all_57_17 = e1) & op(e1,
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | e3) = all_57_17 & $i(all_57_17))) &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (380), (1308), (1402), (function-axioms) are
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1331.
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | (1403) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e2 & op(e3, e3) = e2) | ( ~
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & op(e3, e2) = all_57_19 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | $i(all_57_19))) & ((all_57_30 = e2 & op(e1,
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_20 = e1) & op(e1,
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | e2) = all_57_20 & $i(all_57_20))) &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | $i(all_57_21)))
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (164), (1086), (1115), (1257), (1403),
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | #1329.
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.56 | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.56 | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | (1404) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 241.39/41.56 | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (1404) gives:
% 241.39/41.56 | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | (1405) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | ALPHA: (1405) implies:
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | (1406) op(e1, e0) = all_57_29
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | (1407) op(e1, e1) = all_57_30
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | (1408) op(e1, e2) = all_57_20
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | (1409) op(e1, all_57_30) = e1
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | (1410) op(e1, all_57_29) = e0
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | (1411) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | $i(all_57_24))
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | (1412) (all_57_28 = e1 & op(e2, e2) = e1) | ( ~
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & op(e2, e1) = all_57_23 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1411) gives:
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | | (1413) all_57_31 = e1 & op(e0, e0) = e1
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1413) implies:
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | | (1414) op(e0, e0) = e1
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1118), (1414), (function-axioms) are
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | | (1415) ~ (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.56 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1415) implies:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | (1416) ~ (all_57_24 = e0)
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | (1417) op(e0, e1) = all_57_24
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1412) gives:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | (1418) all_57_28 = e1 & op(e2, e2) = e1
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1418) implies:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | (1419) op(e2, e2) = e1
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1257), (1419), (function-axioms) are
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1795.
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | (1420) ~ (all_57_23 = e2) & op(e2, e1) = all_57_23 &
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1420) implies:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | (1421) ~ (all_57_23 = e2)
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | (1422) op(e2, e1) = all_57_23
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | all_57_24, e1, e0, simplifying with (157), (1417)
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | gives:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | (1423) all_57_24 = all_52_11
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | all_57_29, e0, e1, simplifying with (160), (1406)
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | gives:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | (1424) all_57_29 = all_52_14
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (1071), (1407)
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | gives:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | (1425) all_57_30 = e0
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | all_57_20, e2, e1, simplifying with (162), (1408)
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | gives:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | (1426) all_57_20 = all_52_6
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | all_57_23, e1, e2, simplifying with (165), (1422)
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | gives:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | (1427) all_57_23 = all_52_9
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1421), (1427) imply:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | (1428) ~ (all_52_9 = e2)
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1410), (1424) imply:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | (1429) op(e1, all_52_14) = e0
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1409), (1425) imply:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | (1430) op(e1, e0) = e1
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | (1431) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1431) gives:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | (1432) all_56_4 = e2 & op(e3, e1) = e2
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1432) implies:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | (1433) all_56_4 = e2
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | (1434) op(e3, e1) = e2
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | (1435) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1435) gives:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (1436) all_56_2 = e2 & op(e2, e3) = e2
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1436) implies:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (1437) all_56_2 = e2
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1438) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1438) gives:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1439) all_56_0 = e3 & op(e3, e3) = e3
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1439) implies:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1440) op(e3, e3) = e3
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1086), (1440), (function-axioms) are
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1864.
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1441) all_56_1 = e3 & op(e3, e2) = e3
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1441) implies:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1442) all_56_1 = e3
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1443) op(e3, e2) = e3
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1444) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1444) gives:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1445) all_56_1 = e2 & op(e3, e2) = e2
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1445) implies:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1446) all_56_1 = e2
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (169), (230), (236),
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1086), (1433), (1434), (1446), (function-axioms)
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1621.
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447) all_56_3 = e2 & op(e2, e2) = e2
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1447) implies:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1448) op(e2, e2) = e2
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1257), (1448), (function-axioms) are
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1835.
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1449) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1449) gives:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1450) all_56_7 = e2 & op(e1, e2) = e2
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1450) implies:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1451) op(e1, e2) = e2
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1452) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (1082), (1257), (1452),
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1340.
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1453) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1453) gives:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1454) all_56_7 = e1 & op(e1, e2) = e1
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1454) implies:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1455) all_56_7 = e1
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (168), (169),
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (218), (219), (220), (223), (230), (232),
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (1071), (1084),
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1086), (1115), (1257), (1307), (1393), (1412),
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1430), (1433), (1434), (1437), (1442), (1455),
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1319.
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1456) all_56_13 = e1 & op(e0, e2) = e1
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1456) implies:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1457) all_56_13 = e1
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1458) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1458) gives:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1459) all_56_6 = e1 & op(e1, e3) = e1
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1459) implies:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1460) all_56_6 = e1
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1461) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1461) gives:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1462) all_56_0 = e3 & op(e3, e3) = e3
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (218), (219),
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (230), (232), (234), (1071), (1084),
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1442), (1462), (function-axioms) are inconsistent
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1323.
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1463) all_56_2 = e3 & op(e2, e3) = e3
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (9), (164), (223), (1115), (1257),
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1412), (1463), (function-axioms) are inconsistent
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1321.
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1464) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1464) gives:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1465) all_56_6 = e3 & op(e1, e3) = e3
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1465) implies:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1466) all_56_6 = e3
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1460), (1466) are inconsistent by sub-proof
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1474.
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1467) all_56_12 = e3 & op(e0, e3) = e3
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1467) implies:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1468) all_56_12 = e3
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1307), (1468) imply:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1469) e3 = e0
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1469) implies:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1470) e3 = e0
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1442), (1470) imply:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1471) all_56_1 = e0
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (215),
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (226), (227), (228), (373), (1071), (1082),
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1257), (1460), (1471), (function-axioms) are
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1337.
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1472) all_56_7 = e1 & op(e1, e2) = e1
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1472) implies:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1473) all_56_7 = e1
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (168), (169),
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (218), (219), (220), (223), (230), (232),
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (1071), (1084),
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1086), (1115), (1257), (1307), (1393), (1412),
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1430), (1433), (1434), (1437), (1442), (1473),
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1319.
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1474) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1474) gives:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1475) all_56_8 = e1 & op(e1, e1) = e1
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1475) implies:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1476) op(e1, e1) = e1
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1071), (1476), (function-axioms) are
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1857.
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1477) all_56_11 = e1 & op(e1, e0) = e1
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1477) implies:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1478) all_56_11 = e1
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1479) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1479) gives:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1480) all_56_0 = e3 & op(e3, e3) = e3
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (218), (219),
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (230), (232), (234), (1071), (1084),
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1442), (1480), (function-axioms) are inconsistent
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1323.
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1481) all_56_2 = e3 & op(e2, e3) = e3
% 241.39/41.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (9), (164), (223), (1115), (1257),
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1412), (1481), (function-axioms) are inconsistent
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1321.
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1482) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1482) gives:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1483) all_56_6 = e3 & op(e1, e3) = e3
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1483) implies:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1484) all_56_6 = e3
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1485) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1485) gives:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1486) all_56_12 = e3 & op(e0, e3) = e3
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (227), (228),
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (1257), (1307), (1442), (1457), (1486),
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1318.
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1487) all_56_13 = e3 & op(e0, e2) = e3
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1487) implies:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1488) all_56_13 = e3
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1457), (1488) imply:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1489) e3 = e1
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1484), (1489) imply:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1490) all_56_6 = e1
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (215), (216), (1071),
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1430), (1478), (1490), (function-axioms) are
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1361.
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1491) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1491) gives:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1492) all_56_14 = e3 & op(e0, e1) = e3
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1492) implies:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1493) all_56_14 = e3
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1494) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1494) gives:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1495) all_56_4 = e1 & op(e3, e1) = e1
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (1083), (1495), (function-axioms) are
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1496) all_56_5 = e1 & op(e2, e1) = e1
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1496) implies:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1497) all_56_5 = e1
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1498) op(e2, e1) = e1
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1499) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (9), (36), (164), (223), (373), (1115),
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1257), (1412), (1499), (function-axioms) are
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1316.
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1500) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1500) gives:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1501) all_56_5 = e3 & op(e2, e1) = e3
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1501) implies:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1502) all_56_5 = e3
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1497), (1502) imply:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1503) e3 = e1
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (215), (216), (1071),
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1430), (1478), (1484), (1503), (function-axioms)
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1315.
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1504) all_56_10 = e3 & op(e2, e0) = e3
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1504) implies:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1505) all_56_10 = e3
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1506) op(e2, e0) = e3
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1507) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1507) gives:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1508) all_56_12 = e1 & op(e0, e3) = e1
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1508) implies:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1509) op(e0, e3) = e1
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1308), (1509), (function-axioms) are
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1636.
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1492) implies:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1510) op(e0, e1) = e3
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, e0, simplifying with (157), (1510) gives:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1511) all_52_11 = e3
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (1430) gives:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1512) all_52_14 = e1
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (1451) gives:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1513) all_52_6 = e2
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e2, simplifying with (164), (1506) gives:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1514) all_52_13 = e3
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (1498) gives:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1515) all_52_9 = e1
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e2,
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (1434) gives:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1516) all_52_8 = e2
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (1443) gives:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1517) all_52_4 = e3
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1426), (1513) imply:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1518) all_57_20 = e2
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1519) ~ (all_38_2 = e0)
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1064), (1519) imply:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1520) $false
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1520) is inconsistent.
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1521) ( ~ (all_38_0 = e2) & op(all_38_1, all_38_1) =
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_0 & op(e0, e1) = all_38_1 & $i(all_38_0)
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_38_1)) | ( ~ (all_38_1 = e3) & op(e0,
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_38_1 & $i(all_38_1))
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1522) ~ (all_50_2 = e2)
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1113), (1522) imply:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1523) $false
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1523) is inconsistent.
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1524) ( ~ (all_50_0 = e1) & op(all_50_1, all_50_1) =
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0 & op(e2, e0) = all_50_1 & $i(all_50_0)
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_50_1)) | ( ~ (all_50_1 = e3) & op(e2,
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_50_1 & $i(all_50_1))
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.39/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1525) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1525) gives:
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1526) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 241.79/41.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1526) gives:
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1527) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (51), (380), (1071), (1527),
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1533.
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1528) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (51), (373), (380), (1528),
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1871.
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1529) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1529) gives:
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1530) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1530) gives:
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1531) all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1531) implies:
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1532) op(e1, e1) = e2
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1071), (1532), (function-axioms) are
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1523.
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1533) all_57_19 = e3 & all_57_31 = e2 & ~ (all_57_21 =
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e2) & op(e3, e3) =
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e0, e2) =
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e0) = e2 & $i(all_57_21) &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1533) implies:
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1534) op(e3, e3) = all_57_26
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1061) gives:
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1535) ~ (all_22_0 = e3) & op(all_22_1, all_22_1) =
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_0 & op(e0, e1) = all_22_1 & $i(all_22_0) &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1535) implies:
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1536) op(e0, e1) = all_22_1
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1086), (1110), (1506), (1510), (1521), (1524),
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1534), (1536), (function-axioms) are inconsistent
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1312.
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1537) ~ (all_22_1 = e2) & op(e0, e1) = all_22_1 &
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1537) implies:
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1538) op(e0, e1) = all_22_1
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1086), (1110), (1506), (1510), (1521), (1524),
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1534), (1538), (function-axioms) are inconsistent
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1312.
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.79/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1539) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1539) gives:
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1540) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1540) implies:
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1541) ~ (all_57_19 = e3)
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1542) op(e3, e2) = all_57_19
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1443), (1541), (1542), (function-axioms) are
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1792.
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1543) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1543) gives:
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1544) all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21 &
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_30)
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1544) implies:
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1545) all_57_20 = e1
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1518), (1545) imply:
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546) e2 = e1
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1437), (1546) imply:
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1547) all_56_2 = e1
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (221), (223), (1497),
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1498), (1505), (1547), (function-axioms) are
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1307.
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1548) all_57_22 = e3 & all_57_28 = e1 & ~ (all_57_23 =
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_26 = e1) & op(e3, e3) =
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & $i(all_57_23) &
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1548) implies:
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1549) op(e2, e2) = e1
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1257), (1549), (function-axioms) are
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1795.
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1550) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1550) gives:
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1551) gives:
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1552) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1118), (1412), (1552), (function-axioms) are
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1716.
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1553) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1553) gives:
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1554) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1554) implies:
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1555) op(e0, e0) = e1
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1118), (1555), (function-axioms) are
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1556) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1556) gives:
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1557) all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1557) implies:
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1558) op(e3, e0) = e3
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e0,
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1394), (1558) gives:
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1559) e3 = e0
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1442), (1559) imply:
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1560) all_56_1 = e0
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (227), (228),
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (1257), (1457), (1560), (function-axioms)
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1815.
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1561) all_57_25 = e3 & all_57_30 = e0 & ~ (all_57_26 =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e3, e3) =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_26) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1561) implies:
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1562) ~ (all_57_29 = e1)
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1406), (1430), (1562), (function-axioms) are
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1563) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 242.28/41.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1563) gives:
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1564) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1086), (1564), (function-axioms) are
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1831.
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1565) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1565) gives:
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1566) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1566) implies:
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1567) ~ (all_57_29 = e1)
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1406), (1430), (1567), (function-axioms) are
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1568) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1568) gives:
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1569) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1569) implies:
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1570) ~ (all_57_30 = e0)
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1425), (1570) imply:
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1571) $false
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1571) is inconsistent.
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1572) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1572) implies:
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1573) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (36), (157), (373), (1067), (1071),
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1073), (1086), (1573), (function-axioms) are
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1465.
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1574) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (1071),
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1118), (1497), (1574), (function-axioms) are
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1408.
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1575) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1575) gives:
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1576) all_56_8 = e1 & op(e1, e1) = e1
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1576) implies:
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1577) op(e1, e1) = e1
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1071), (1577), (function-axioms) are
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1857.
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1578) all_56_14 = e1 & op(e0, e1) = e1
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1578) implies:
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1579) all_56_14 = e1
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1493), (1579) imply:
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1580) e3 = e1
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (215), (216), (1071),
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1430), (1478), (1484), (1580), (function-axioms)
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1315.
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1581) all_56_15 = e3 & op(e0, e0) = e3
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1581) implies:
% 242.28/41.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1582) op(e0, e0) = e3
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (380), (1582), (function-axioms) are
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1874.
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1583) all_56_12 = e3 & op(e0, e3) = e3
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (227), (228),
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (1257), (1307), (1442), (1457), (1583),
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1318.
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1584) all_56_13 = e2 & op(e0, e2) = e2
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1584) implies:
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1585) all_56_13 = e2
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1586) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (1082), (1257), (1586),
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1340.
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1587) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1587) gives:
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1588) all_56_7 = e1 & op(e1, e2) = e1
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1588) implies:
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1589) all_56_7 = e1
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (168), (169),
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (218), (219), (220), (223), (230), (232),
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (1071), (1084),
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1086), (1115), (1257), (1307), (1393), (1412),
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1430), (1433), (1434), (1437), (1442), (1589),
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1319.
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1590) all_56_13 = e1 & op(e0, e2) = e1
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1590) implies:
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1591) all_56_13 = e1
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1585), (1591) imply:
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1592) e2 = e1
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1437), (1592) imply:
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1593) all_56_2 = e1
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (233), (235), (1086),
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1307), (1593), (function-axioms) are inconsistent
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1435.
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1594) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (169), (1393), (1434), (1594),
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1350.
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (1595) all_56_3 = e2 & op(e2, e2) = e2
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1595) implies:
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (1596) op(e2, e2) = e2
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1257), (1596), (function-axioms) are
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1835.
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | (1597) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (1115), (1428), (1597),
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | | #1306.
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | (1598) all_56_5 = e2 & op(e2, e1) = e2
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1598) implies:
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | (1599) op(e2, e1) = e2
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1428), (1599), (function-axioms) are
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1838.
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | (1600) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (206), (207),
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | (209), (380), (1071), (1118), (1307), (1600),
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | | #1343.
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | (1601) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (380), (1308), (1601), (function-axioms) are
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1305.
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | End of split
% 242.28/41.62 | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | Case 2:
% 242.28/41.62 | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | (1602) all_24_2 = e1
% 242.28/41.62 | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | COMBINE_EQS: (318), (1602) imply:
% 242.28/41.62 | | | | | | | | | | (1603) all_4_2 = e1
% 242.28/41.62 | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | REDUCE: (354), (1603) imply:
% 242.28/41.62 | | | | | | | | | | (1604) ~ (all_52_6 = e1)
% 242.28/41.62 | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | REDUCE: (356), (1603) imply:
% 242.28/41.62 | | | | | | | | | | (1605) ~ (all_52_7 = e1)
% 242.28/41.62 | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | REDUCE: (360), (1603) imply:
% 242.28/41.62 | | | | | | | | | | (1606) ~ (all_52_13 = e1)
% 242.28/41.62 | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | REDUCE: (373), (1603) imply:
% 242.28/41.62 | | | | | | | | | | (1607) ~ (e3 = e1)
% 242.28/41.62 | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | REDUCE: (36), (1603) imply:
% 242.28/41.62 | | | | | | | | | | (1608) op(e2, e2) = e1
% 242.28/41.62 | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | BETA: splitting (70) gives:
% 242.28/41.62 | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | Case 1:
% 242.28/41.62 | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | (1609) ~ (all_26_2 = e1)
% 242.28/41.62 | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | REDUCE: (307), (1609) imply:
% 242.28/41.62 | | | | | | | | | | | (1610) ~ (all_6_2 = e1)
% 242.28/41.62 | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | BETA: splitting (204) gives:
% 242.28/41.62 | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | Case 1:
% 242.28/41.62 | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | (1611) all_54_0 = e3
% 242.28/41.62 | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | COMBINE_EQS: (279), (1611) imply:
% 242.28/41.62 | | | | | | | | | | | | (1612) all_6_2 = e3
% 242.28/41.62 | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | SIMP: (1612) implies:
% 242.28/41.62 | | | | | | | | | | | | (1613) all_6_2 = e3
% 242.28/41.62 | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | REDUCE: (344), (1613) imply:
% 242.28/41.62 | | | | | | | | | | | | (1614) ~ (all_52_4 = e3)
% 242.28/41.62 | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | REDUCE: (346), (1613) imply:
% 242.28/41.62 | | | | | | | | | | | | (1615) ~ (all_52_8 = e3)
% 242.28/41.62 | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | REDUCE: (348), (1613) imply:
% 242.28/41.62 | | | | | | | | | | | | (1616) ~ (all_52_12 = e3)
% 242.28/41.62 | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | REDUCE: (39), (1613) imply:
% 242.28/41.62 | | | | | | | | | | | | (1617) op(e3, e3) = e3
% 242.28/41.62 | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | BETA: splitting (238) gives:
% 242.28/41.62 | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | Case 1:
% 242.28/41.62 | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | (1618) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 242.28/41.62 | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 242.28/41.62 | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 242.28/41.62 | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 242.28/41.62 | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 242.28/41.62 | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 242.28/41.62 | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 242.28/41.62 | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 242.28/41.62 | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 242.28/41.62 | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 242.28/41.62 | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 242.28/41.62 | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 242.28/41.62 | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 242.28/41.62 | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 242.28/41.62 | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 242.28/41.62 | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 242.28/41.62 | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 242.28/41.62 | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 242.28/41.62 | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 242.28/41.62 | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 242.28/41.62 | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 242.28/41.62 | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 242.28/41.62 | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 242.28/41.62 | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 242.28/41.62 | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 242.28/41.62 | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 242.28/41.62 | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 242.28/41.62 | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 242.28/41.62 | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 242.28/41.62 | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 242.28/41.62 | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 242.28/41.62 | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 242.28/41.62 | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 242.28/41.62 | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 242.28/41.62 | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 242.28/41.62 | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 242.28/41.62 | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 242.28/41.62 | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 242.28/41.62 | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 242.28/41.62 | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | BETA: splitting (1618) gives:
% 242.28/41.62 | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | Case 1:
% 242.28/41.62 | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | (1619) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 242.28/41.62 | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 242.28/41.62 | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 242.28/41.62 | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 242.28/41.62 | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 242.28/41.62 | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 242.28/41.62 | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 242.28/41.62 | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 242.28/41.62 | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 242.28/41.62 | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 242.28/41.62 | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 242.28/41.62 | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 242.28/41.62 | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 242.28/41.62 | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 242.28/41.62 | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 242.28/41.62 | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 242.28/41.62 | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 242.28/41.62 | | | | | | | | | | | | | | $i(all_57_30))
% 242.28/41.62 | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | BETA: splitting (1619) gives:
% 242.28/41.62 | | | | | | | | | | | | | |
% 242.28/41.62 | | | | | | | | | | | | | | Case 1:
% 242.28/41.62 | | | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | | | | (1620) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 242.28/41.63 | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 242.28/41.63 | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 242.28/41.63 | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 242.28/41.63 | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 242.28/41.63 | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 242.28/41.63 | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 242.28/41.63 | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 242.28/41.63 | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 242.28/41.63 | | | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | | | | REF_CLOSE: (7), (51), (380), (1071), (1620),
% 242.28/41.63 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.28/41.63 | | | | | | | | | | | | | | | #1533.
% 242.28/41.63 | | | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | | | Case 2:
% 242.28/41.63 | | | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | | | | (1621) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 242.28/41.63 | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 242.28/41.63 | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 242.28/41.63 | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 242.28/41.63 | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 242.28/41.63 | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 242.28/41.63 | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 242.28/41.63 | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 242.28/41.63 | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 242.28/41.63 | | | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (380), (1608), (1621),
% 242.28/41.63 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.28/41.63 | | | | | | | | | | | | | | | #1541.
% 242.28/41.63 | | | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | | | End of split
% 242.28/41.63 | | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | | Case 2:
% 242.28/41.63 | | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | | | (1622) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 242.28/41.63 | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 242.28/41.63 | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 242.28/41.63 | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 242.28/41.63 | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 242.28/41.63 | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 242.28/41.63 | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 242.28/41.63 | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 242.28/41.63 | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 242.28/41.63 | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 242.28/41.63 | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 242.28/41.63 | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 242.28/41.63 | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 242.28/41.63 | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 242.28/41.63 | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 242.28/41.63 | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 242.28/41.63 | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 242.28/41.63 | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 242.28/41.63 | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 242.28/41.63 | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 242.28/41.63 | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 242.28/41.63 | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 242.28/41.63 | | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | | | BETA: splitting (1622) gives:
% 242.28/41.63 | | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | | | Case 1:
% 242.28/41.63 | | | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | | | | (1623) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 242.28/41.63 | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 242.28/41.63 | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 242.28/41.63 | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 242.28/41.63 | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 242.28/41.63 | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 242.28/41.63 | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 242.28/41.63 | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 242.28/41.63 | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 242.28/41.63 | | | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | | | | REF_CLOSE: (170), (1614), (1623), (function-axioms) are
% 242.28/41.63 | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 242.28/41.63 | | | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | | | Case 2:
% 242.28/41.63 | | | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | | | | (1624) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 242.28/41.63 | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 242.28/41.63 | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 242.28/41.63 | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 242.28/41.63 | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 242.28/41.63 | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 242.28/41.63 | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 242.28/41.63 | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 242.28/41.63 | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 242.28/41.63 | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 242.28/41.63 | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 242.28/41.63 | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 242.28/41.63 | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 242.28/41.63 | | | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | | | | REF_CLOSE: (162), (169), (1604), (1615), (1624),
% 242.28/41.63 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.28/41.63 | | | | | | | | | | | | | | | #1540.
% 242.28/41.63 | | | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | | | End of split
% 242.28/41.63 | | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | | End of split
% 242.28/41.63 | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | Case 2:
% 242.28/41.63 | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | | (1625) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 242.28/41.63 | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 242.28/41.63 | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 242.28/41.63 | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 242.28/41.63 | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 242.28/41.63 | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 242.28/41.63 | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.28/41.63 | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 242.28/41.63 | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 242.28/41.63 | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 242.28/41.63 | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 242.28/41.63 | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 242.28/41.63 | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 242.28/41.63 | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 242.28/41.63 | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 242.28/41.63 | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 242.28/41.63 | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 242.28/41.63 | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 242.28/41.63 | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 242.28/41.63 | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 242.28/41.63 | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 242.28/41.63 | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 242.28/41.63 | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 242.28/41.63 | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 242.28/41.63 | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 242.28/41.63 | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 242.28/41.63 | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 242.28/41.63 | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 242.28/41.63 | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 242.28/41.63 | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 242.28/41.63 | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 242.28/41.63 | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 242.28/41.63 | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 242.28/41.63 | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 242.28/41.63 | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 242.28/41.63 | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 242.28/41.63 | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 242.28/41.63 | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 242.28/41.63 | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 242.28/41.63 | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 242.28/41.63 | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 242.28/41.63 | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 242.28/41.63 | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 242.28/41.63 | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 242.28/41.63 | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 242.28/41.63 | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 242.28/41.63 | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 242.28/41.63 | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 242.28/41.63 | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 242.28/41.63 | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 242.28/41.63 | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 242.28/41.63 | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 242.28/41.63 | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 242.28/41.63 | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 242.28/41.63 | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 242.28/41.63 | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 242.28/41.63 | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 242.28/41.63 | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 242.28/41.63 | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.28/41.63 | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 242.28/41.63 | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 242.28/41.63 | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 242.28/41.63 | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 242.28/41.63 | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 242.28/41.63 | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | | BETA: splitting (1625) gives:
% 242.28/41.63 | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | | Case 1:
% 242.28/41.63 | | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | | | (1626) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 242.28/41.63 | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 242.28/41.63 | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 242.28/41.63 | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 242.28/41.63 | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 242.28/41.63 | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 242.28/41.63 | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.28/41.63 | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 242.28/41.63 | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 242.28/41.63 | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 242.28/41.63 | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 242.28/41.63 | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 242.28/41.63 | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 242.28/41.63 | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 242.28/41.63 | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 242.28/41.63 | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 242.28/41.63 | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 242.28/41.63 | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 242.28/41.63 | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 242.28/41.63 | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 242.28/41.63 | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 242.28/41.63 | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 242.28/41.63 | | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | | | BETA: splitting (1626) gives:
% 242.28/41.63 | | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | | | Case 1:
% 242.28/41.63 | | | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | | | | (1627) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 242.28/41.63 | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 242.28/41.63 | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 242.28/41.63 | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 242.28/41.63 | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 242.28/41.63 | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 242.28/41.63 | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.28/41.63 | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 242.28/41.63 | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 242.28/41.63 | | | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (378), (1617), (1627),
% 242.28/41.63 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.28/41.63 | | | | | | | | | | | | | | | #1863.
% 242.28/41.63 | | | | | | | | | | | | | | |
% 242.28/41.63 | | | | | | | | | | | | | | Case 2:
% 242.28/41.63 | | | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | | | (1628) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 242.28/41.64 | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 242.28/41.64 | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 242.28/41.64 | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 242.28/41.64 | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 242.28/41.64 | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 242.28/41.64 | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 242.28/41.64 | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 242.28/41.64 | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 242.28/41.64 | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 242.28/41.64 | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 242.28/41.64 | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 242.28/41.64 | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 242.28/41.64 | | | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | | | REF_CLOSE: (51), (168), (378), (1616), (1628),
% 242.28/41.64 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.28/41.64 | | | | | | | | | | | | | | | #1860.
% 242.28/41.64 | | | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | | End of split
% 242.28/41.64 | | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | Case 2:
% 242.28/41.64 | | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | | (1629) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 242.28/41.64 | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 242.28/41.64 | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 242.28/41.64 | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 242.28/41.64 | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 242.28/41.64 | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 242.28/41.64 | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 242.28/41.64 | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 242.28/41.64 | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 242.28/41.64 | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 242.28/41.64 | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 242.28/41.64 | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 242.28/41.64 | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 242.28/41.64 | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 242.28/41.64 | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 242.28/41.64 | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 242.28/41.64 | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 242.28/41.64 | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 242.28/41.64 | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 242.28/41.64 | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 242.28/41.64 | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 242.28/41.64 | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 242.28/41.64 | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 242.28/41.64 | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 242.28/41.64 | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 242.28/41.64 | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 242.28/41.64 | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 242.28/41.64 | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 242.28/41.64 | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 242.28/41.64 | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 242.28/41.64 | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 242.28/41.64 | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 242.28/41.64 | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 242.28/41.64 | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 242.28/41.64 | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 242.28/41.64 | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 242.28/41.64 | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.28/41.64 | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 242.28/41.64 | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 242.28/41.64 | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 242.28/41.64 | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 242.28/41.64 | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 242.28/41.64 | | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | | BETA: splitting (1629) gives:
% 242.28/41.64 | | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | | Case 1:
% 242.28/41.64 | | | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | | | (1630) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 242.28/41.64 | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 242.28/41.64 | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 242.28/41.64 | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 242.28/41.64 | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 242.28/41.64 | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 242.28/41.64 | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 242.28/41.64 | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 242.28/41.64 | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 242.28/41.64 | | | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | | | REF_CLOSE: (7), (1617), (1630), (function-axioms) are
% 242.28/41.64 | | | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 242.28/41.64 | | | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | | Case 2:
% 242.28/41.64 | | | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | | | (1631) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 242.28/41.64 | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 242.28/41.64 | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 242.28/41.64 | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 242.28/41.64 | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 242.28/41.64 | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 242.28/41.64 | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 242.28/41.64 | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 242.28/41.64 | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 242.28/41.64 | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 242.28/41.64 | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 242.28/41.64 | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 242.28/41.64 | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 242.28/41.64 | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 242.28/41.64 | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 242.28/41.64 | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 242.28/41.64 | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 242.28/41.64 | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 242.28/41.64 | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 242.28/41.64 | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 242.28/41.64 | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 242.28/41.64 | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 242.28/41.64 | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 242.28/41.64 | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 242.28/41.64 | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 242.28/41.64 | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 242.28/41.64 | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 242.28/41.64 | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.28/41.64 | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 242.28/41.64 | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 242.28/41.64 | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 242.28/41.64 | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 242.28/41.64 | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 242.28/41.64 | | | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | | | BETA: splitting (1631) gives:
% 242.28/41.64 | | | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | | | Case 1:
% 242.28/41.64 | | | | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | | | | (1632) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 242.28/41.64 | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 242.28/41.64 | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 242.28/41.64 | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 242.28/41.64 | | | | | | | | | | | | | | | | $i(all_57_29)
% 242.28/41.64 | | | | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | | | | ALPHA: (1632) implies:
% 242.28/41.64 | | | | | | | | | | | | | | | | (1633) all_57_30 = e0
% 242.28/41.64 | | | | | | | | | | | | | | | | (1634) all_57_27 = e2
% 242.28/41.64 | | | | | | | | | | | | | | | | (1635) ~ (all_57_29 = e1)
% 242.28/41.64 | | | | | | | | | | | | | | | | (1636) ~ (all_57_28 = e0)
% 242.28/41.64 | | | | | | | | | | | | | | | | (1637) op(e1, e0) = all_57_29
% 242.28/41.64 | | | | | | | | | | | | | | | | (1638) op(e2, e0) = e2
% 242.28/41.64 | | | | | | | | | | | | | | | | (1639) op(e2, e2) = all_57_28
% 242.28/41.64 | | | | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (39), (51), (112), (120), (121), (133),
% 242.28/41.64 | | | | | | | | | | | | | | | | (157), (160), (162), (164), (168), (169), (170),
% 242.28/41.64 | | | | | | | | | | | | | | | | (202), (204), (210), (214), (238), (239), (271),
% 242.28/41.64 | | | | | | | | | | | | | | | | (279), (344), (346), (348), (370), (374), (377),
% 242.28/41.64 | | | | | | | | | | | | | | | | (378), (380), (1071), (1604), (1606), (1608),
% 242.28/41.64 | | | | | | | | | | | | | | | | (1633), (1634), (1635), (1636), (1637), (1638),
% 242.28/41.64 | | | | | | | | | | | | | | | | (1639), (function-axioms) are inconsistent by
% 242.28/41.64 | | | | | | | | | | | | | | | | sub-proof #1302.
% 242.28/41.64 | | | | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | | | Case 2:
% 242.28/41.64 | | | | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | | | | (1640) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 242.28/41.64 | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 242.28/41.64 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 242.28/41.64 | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 242.28/41.64 | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 242.28/41.64 | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 242.28/41.64 | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 242.28/41.64 | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 242.28/41.64 | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 242.28/41.64 | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 242.28/41.64 | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 242.28/41.64 | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 242.28/41.64 | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 242.28/41.64 | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 242.28/41.64 | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 242.28/41.64 | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 242.28/41.64 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 242.28/41.64 | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 242.28/41.64 | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 242.28/41.64 | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 242.28/41.64 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 242.28/41.64 | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 242.28/41.64 | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 242.28/41.64 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.28/41.64 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 242.28/41.64 | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 242.28/41.64 | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 242.28/41.64 | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 242.28/41.64 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 242.28/41.64 | | | | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (157), (1067), (1071),
% 242.28/41.64 | | | | | | | | | | | | | | | | (1608), (1617), (1640), (function-axioms) are
% 242.28/41.64 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1299.
% 242.28/41.64 | | | | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | | | End of split
% 242.28/41.64 | | | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | | End of split
% 242.28/41.64 | | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | End of split
% 242.28/41.64 | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | End of split
% 242.28/41.64 | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | Case 2:
% 242.28/41.64 | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | (1641) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 242.28/41.64 | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (1610), (1641) are
% 242.28/41.64 | | | | | | | | | | | | inconsistent by sub-proof #1850.
% 242.28/41.64 | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | End of split
% 242.28/41.64 | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | Case 2:
% 242.28/41.64 | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | (1642) all_26_2 = e1
% 242.28/41.64 | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | COMBINE_EQS: (307), (1642) imply:
% 242.28/41.64 | | | | | | | | | | | (1643) all_6_2 = e1
% 242.28/41.64 | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | SIMP: (1643) implies:
% 242.28/41.64 | | | | | | | | | | | (1644) all_6_2 = e1
% 242.28/41.64 | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | REDUCE: (342), (1644) imply:
% 242.28/41.64 | | | | | | | | | | | (1645) ~ (all_52_3 = e1)
% 242.28/41.64 | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | REDUCE: (348), (1644) imply:
% 242.28/41.64 | | | | | | | | | | | (1646) ~ (all_52_12 = e1)
% 242.28/41.64 | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | REDUCE: (377), (1644) imply:
% 242.28/41.64 | | | | | | | | | | | (1647) ~ (e2 = e1)
% 242.28/41.64 | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | REDUCE: (39), (1644) imply:
% 242.28/41.64 | | | | | | | | | | | (1648) op(e3, e3) = e1
% 242.28/41.64 | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | BETA: splitting (214) gives:
% 242.28/41.64 | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | Case 1:
% 242.28/41.64 | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | (1649) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 242.28/41.64 | | | | | | | | | | | | & op(e1, e2) = e1)
% 242.28/41.64 | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | BETA: splitting (1649) gives:
% 242.28/41.64 | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | Case 1:
% 242.28/41.64 | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | (1650) all_56_6 = e1 & op(e1, e3) = e1
% 242.28/41.64 | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | ALPHA: (1650) implies:
% 242.28/41.64 | | | | | | | | | | | | | (1651) all_56_6 = e1
% 242.28/41.64 | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (51), (164), (168),
% 242.28/41.64 | | | | | | | | | | | | | (210), (215), (216), (378), (1071), (1606),
% 242.28/41.64 | | | | | | | | | | | | | (1646), (1651), (function-axioms) are inconsistent
% 242.28/41.64 | | | | | | | | | | | | | by sub-proof #1297.
% 242.28/41.64 | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | Case 2:
% 242.28/41.64 | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | (1652) all_56_7 = e1 & op(e1, e2) = e1
% 242.28/41.64 | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | ALPHA: (1652) implies:
% 242.28/41.64 | | | | | | | | | | | | | (1653) op(e1, e2) = e1
% 242.28/41.64 | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | | REF_CLOSE: (162), (1604), (1653), (function-axioms) are
% 242.28/41.64 | | | | | | | | | | | | | inconsistent by sub-proof #1868.
% 242.28/41.64 | | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | | End of split
% 242.28/41.64 | | | | | | | | | | | |
% 242.28/41.64 | | | | | | | | | | | Case 2:
% 242.28/41.64 | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | (1654) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 242.28/41.65 | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 242.28/41.65 | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | BETA: splitting (1654) gives:
% 242.28/41.65 | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | Case 1:
% 242.28/41.65 | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | (1655) all_56_8 = e1 & op(e1, e1) = e1
% 242.28/41.65 | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | ALPHA: (1655) implies:
% 242.28/41.65 | | | | | | | | | | | | | (1656) op(e1, e1) = e1
% 242.28/41.65 | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | REF_CLOSE: (4), (1071), (1656), (function-axioms) are
% 242.28/41.65 | | | | | | | | | | | | | inconsistent by sub-proof #1857.
% 242.28/41.65 | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | Case 2:
% 242.28/41.65 | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | (1657) all_56_11 = e1 & op(e1, e0) = e1
% 242.28/41.65 | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | ALPHA: (1657) implies:
% 242.28/41.65 | | | | | | | | | | | | | (1658) op(e1, e0) = e1
% 242.28/41.65 | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | BETA: splitting (207) gives:
% 242.28/41.65 | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | Case 1:
% 242.28/41.65 | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | (1659) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 242.28/41.65 | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 242.28/41.65 | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (1605), (1645), (1659),
% 242.28/41.65 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.28/41.65 | | | | | | | | | | | | | | #1377.
% 242.28/41.65 | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | Case 2:
% 242.28/41.65 | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | (1660) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 242.28/41.65 | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 242.28/41.65 | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | BETA: splitting (1660) gives:
% 242.28/41.65 | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | Case 1:
% 242.28/41.65 | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | (1661) all_56_14 = e1 & op(e0, e1) = e1
% 242.28/41.65 | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | ALPHA: (1661) implies:
% 242.28/41.65 | | | | | | | | | | | | | | | (1662) op(e0, e1) = e1
% 242.28/41.65 | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (51), (125), (126), (135),
% 242.28/41.65 | | | | | | | | | | | | | | | (157), (158), (160), (162), (170), (191), (238),
% 242.28/41.65 | | | | | | | | | | | | | | | (239), (248), (362), (372), (380), (1068), (1071),
% 242.28/41.65 | | | | | | | | | | | | | | | (1608), (1648), (1658), (1662), (function-axioms)
% 242.28/41.65 | | | | | | | | | | | | | | | are inconsistent by sub-proof #1453.
% 242.28/41.65 | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | Case 2:
% 242.28/41.65 | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | (1663) all_56_15 = e1 & op(e0, e0) = e1
% 242.28/41.65 | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | ALPHA: (1663) implies:
% 242.28/41.65 | | | | | | | | | | | | | | | (1664) op(e0, e0) = e1
% 242.28/41.65 | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | REF_CLOSE: (51), (378), (1664), (function-axioms) are
% 242.28/41.65 | | | | | | | | | | | | | | | inconsistent by sub-proof #1865.
% 242.28/41.65 | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | End of split
% 242.28/41.65 | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | End of split
% 242.28/41.65 | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | End of split
% 242.28/41.65 | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | End of split
% 242.28/41.65 | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | End of split
% 242.28/41.65 | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | End of split
% 242.28/41.65 | | | | | | | | |
% 242.28/41.65 | | | | | | | | End of split
% 242.28/41.65 | | | | | | | |
% 242.28/41.65 | | | | | | | Case 2:
% 242.28/41.65 | | | | | | | |
% 242.28/41.65 | | | | | | | | (1665) all_20_2 = e3
% 242.28/41.65 | | | | | | | | (1666) ( ~ (all_20_0 = e2) & op(all_20_1, all_20_1) =
% 242.28/41.65 | | | | | | | | all_20_0 & op(e3, e1) = all_20_1 & $i(all_20_0) &
% 242.28/41.65 | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e0) & op(e3, e1) =
% 242.28/41.65 | | | | | | | | all_20_1 & $i(all_20_1))
% 242.28/41.65 | | | | | | | |
% 242.28/41.65 | | | | | | | | COMBINE_EQS: (325), (1665) imply:
% 242.28/41.65 | | | | | | | | (1667) all_10_2 = e3
% 242.28/41.65 | | | | | | | |
% 242.28/41.65 | | | | | | | | SIMP: (1667) implies:
% 242.28/41.65 | | | | | | | | (1668) all_10_2 = e3
% 242.28/41.65 | | | | | | | |
% 242.28/41.65 | | | | | | | | COMBINE_EQS: (331), (1668) imply:
% 242.28/41.65 | | | | | | | | (1669) all_30_2 = e3
% 242.28/41.65 | | | | | | | |
% 242.28/41.65 | | | | | | | | REDUCE: (350), (1668) imply:
% 242.28/41.65 | | | | | | | | (1670) ~ (all_52_2 = e3)
% 242.28/41.65 | | | | | | | |
% 242.28/41.65 | | | | | | | | REDUCE: (361), (1668) imply:
% 242.28/41.65 | | | | | | | | (1671) ~ (all_52_6 = e3)
% 242.28/41.65 | | | | | | | |
% 242.28/41.65 | | | | | | | | REDUCE: (363), (1668) imply:
% 242.28/41.65 | | | | | | | | (1672) ~ (all_52_8 = e3)
% 242.28/41.65 | | | | | | | |
% 242.28/41.65 | | | | | | | | REDUCE: (364), (1668) imply:
% 242.28/41.65 | | | | | | | | (1673) ~ (all_52_9 = e3)
% 242.28/41.65 | | | | | | | |
% 242.28/41.65 | | | | | | | | REDUCE: (366), (1668) imply:
% 242.28/41.65 | | | | | | | | (1674) ~ (all_52_11 = e3)
% 242.28/41.65 | | | | | | | |
% 242.28/41.65 | | | | | | | | REDUCE: (368), (1668) imply:
% 242.28/41.65 | | | | | | | | (1675) ~ (all_52_14 = e3)
% 242.28/41.65 | | | | | | | |
% 242.28/41.65 | | | | | | | | BETA: splitting (216) gives:
% 242.28/41.65 | | | | | | | |
% 242.28/41.65 | | | | | | | | Case 1:
% 242.28/41.65 | | | | | | | | |
% 242.28/41.65 | | | | | | | | | (1676) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 &
% 242.28/41.65 | | | | | | | | | op(e1, e2) = e3)
% 242.28/41.65 | | | | | | | | |
% 242.28/41.65 | | | | | | | | | REF_CLOSE: (162), (163), (1670), (1671), (1676),
% 242.28/41.65 | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.28/41.65 | | | | | | | | | #1625.
% 242.28/41.65 | | | | | | | | |
% 242.28/41.65 | | | | | | | | Case 2:
% 242.28/41.65 | | | | | | | | |
% 242.28/41.65 | | | | | | | | | (1677) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3
% 242.28/41.65 | | | | | | | | | & op(e1, e0) = e3)
% 242.28/41.65 | | | | | | | | |
% 242.28/41.65 | | | | | | | | | BETA: splitting (1677) gives:
% 242.28/41.65 | | | | | | | | |
% 242.28/41.65 | | | | | | | | | Case 1:
% 242.28/41.65 | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | (1678) all_56_8 = e3 & op(e1, e1) = e3
% 242.28/41.65 | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | ALPHA: (1678) implies:
% 242.28/41.65 | | | | | | | | | | (1679) all_56_8 = e3
% 242.28/41.65 | | | | | | | | | | (1680) op(e1, e1) = e3
% 242.28/41.65 | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | BETA: splitting (67) gives:
% 242.28/41.65 | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | Case 1:
% 242.28/41.65 | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | (1681) ~ (all_24_2 = e1)
% 242.28/41.65 | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | REDUCE: (318), (1681) imply:
% 242.28/41.65 | | | | | | | | | | | (1682) ~ (all_4_2 = e1)
% 242.28/41.65 | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | BETA: splitting (70) gives:
% 242.28/41.65 | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | Case 1:
% 242.28/41.65 | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | (1683) ~ (all_26_2 = e1)
% 242.28/41.65 | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | REDUCE: (307), (1683) imply:
% 242.28/41.65 | | | | | | | | | | | | (1684) ~ (all_6_2 = e1)
% 242.28/41.65 | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | BETA: splitting (204) gives:
% 242.28/41.65 | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | Case 1:
% 242.28/41.65 | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | (1685) all_54_0 = e3
% 242.28/41.65 | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | COMBINE_EQS: (279), (1685) imply:
% 242.28/41.65 | | | | | | | | | | | | | (1686) all_6_2 = e3
% 242.28/41.65 | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | REDUCE: (344), (1686) imply:
% 242.28/41.65 | | | | | | | | | | | | | (1687) ~ (all_52_4 = e3)
% 242.28/41.65 | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | REDUCE: (348), (1686) imply:
% 242.28/41.65 | | | | | | | | | | | | | (1688) ~ (all_52_12 = e3)
% 242.28/41.65 | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | REDUCE: (39), (1686) imply:
% 242.28/41.65 | | | | | | | | | | | | | (1689) op(e3, e3) = e3
% 242.28/41.65 | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | BETA: splitting (228) gives:
% 242.28/41.65 | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | Case 1:
% 242.28/41.65 | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | (1690) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 242.28/41.65 | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 242.28/41.65 | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (1687), (1690),
% 242.28/41.65 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.28/41.65 | | | | | | | | | | | | | | #1774.
% 242.28/41.65 | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | Case 2:
% 242.28/41.65 | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | (1691) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 242.28/41.65 | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 242.28/41.65 | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | BETA: splitting (1691) gives:
% 242.28/41.65 | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | Case 1:
% 242.28/41.65 | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | (1692) all_56_7 = e3 & op(e1, e2) = e3
% 242.28/41.65 | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | ALPHA: (1692) implies:
% 242.28/41.65 | | | | | | | | | | | | | | | (1693) op(e1, e2) = e3
% 242.28/41.65 | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | REF_CLOSE: (162), (1671), (1693), (function-axioms) are
% 242.28/41.65 | | | | | | | | | | | | | | | inconsistent by sub-proof #1702.
% 242.28/41.65 | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | Case 2:
% 242.28/41.65 | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | (1694) all_56_13 = e3 & op(e0, e2) = e3
% 242.28/41.65 | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | ALPHA: (1694) implies:
% 242.28/41.65 | | | | | | | | | | | | | | | (1695) all_56_13 = e3
% 242.28/41.65 | | | | | | | | | | | | | | | (1696) op(e0, e2) = e3
% 242.28/41.65 | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 242.28/41.65 | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | Case 1:
% 242.28/41.65 | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | (1697) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 242.28/41.65 | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 242.28/41.65 | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | BETA: splitting (1697) gives:
% 242.28/41.65 | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.65 | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | (1698) all_56_2 = e3 & op(e2, e3) = e3
% 242.28/41.65 | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | ALPHA: (1698) implies:
% 242.28/41.65 | | | | | | | | | | | | | | | | | (1699) all_56_2 = e3
% 242.28/41.65 | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 242.28/41.65 | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.65 | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | (1700) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 242.28/41.65 | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 242.28/41.65 | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | BETA: splitting (1700) gives:
% 242.28/41.65 | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.65 | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | (1701) all_56_9 = e3 & op(e3, e0) = e3
% 242.28/41.65 | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | ALPHA: (1701) implies:
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | (1702) op(e3, e0) = e3
% 242.28/41.65 | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (1688), (1702), (function-axioms) are
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1862.
% 242.28/41.65 | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.65 | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | (1703) all_56_10 = e3 & op(e2, e0) = e3
% 242.28/41.65 | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | ALPHA: (1703) implies:
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | (1704) all_56_10 = e3
% 242.28/41.65 | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 242.28/41.65 | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | (1705) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1705) gives:
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | | (1706) all_56_2 = e1 & op(e2, e3) = e1
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1699), (1706) are inconsistent by sub-proof
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | | #1429.
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | | (1707) all_56_3 = e1 & op(e2, e2) = e1
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1707) implies:
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | | (1708) all_56_3 = e1
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | | (1709) op(e2, e2) = e1
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (168), (212),
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (221), (223), (380), (1679),
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | | (1680), (1688), (1699), (1708), (1709),
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | | #1284.
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | (1710) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1710) gives:
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | | (1711) all_56_5 = e1 & op(e2, e1) = e1
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1711) implies:
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | | (1712) all_56_5 = e1
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | | (1713) op(e2, e1) = e1
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (221), (223), (1699),
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | | (1704), (1712), (1713), (function-axioms) are
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1283.
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | | (1714) all_56_10 = e1 & op(e2, e0) = e1
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1704), (1714) are inconsistent by sub-proof
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | | #1808.
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.65 | | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.65 | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.65 | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | (1715) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 242.28/41.65 | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 242.28/41.65 | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (213), (214),
% 242.28/41.65 | | | | | | | | | | | | | | | | | | (215), (380), (1679), (1680), (1715),
% 242.28/41.65 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.28/41.65 | | | | | | | | | | | | | | | | | | #1282.
% 242.28/41.65 | | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | End of split
% 242.28/41.65 | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.65 | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | (1716) all_56_3 = e3 & op(e2, e2) = e3
% 242.28/41.65 | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | ALPHA: (1716) implies:
% 242.28/41.65 | | | | | | | | | | | | | | | | | (1717) op(e2, e2) = e3
% 242.28/41.65 | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (1717), (function-axioms) are
% 242.28/41.65 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 242.28/41.65 | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | End of split
% 242.28/41.65 | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | Case 2:
% 242.28/41.65 | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | (1718) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 242.28/41.65 | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 242.28/41.65 | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | BETA: splitting (1718) gives:
% 242.28/41.65 | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.65 | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | (1719) all_56_5 = e3 & op(e2, e1) = e3
% 242.28/41.65 | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | ALPHA: (1719) implies:
% 242.28/41.65 | | | | | | | | | | | | | | | | | (1720) op(e2, e1) = e3
% 242.28/41.65 | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1673), (1720), (function-axioms) are
% 242.28/41.65 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1405.
% 242.28/41.65 | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.65 | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | (1721) all_56_10 = e3 & op(e2, e0) = e3
% 242.28/41.65 | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | ALPHA: (1721) implies:
% 242.28/41.65 | | | | | | | | | | | | | | | | | (1722) all_56_10 = e3
% 242.28/41.65 | | | | | | | | | | | | | | | | | (1723) op(e2, e0) = e3
% 242.28/41.65 | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e3,
% 242.28/41.65 | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (1696) gives:
% 242.28/41.65 | | | | | | | | | | | | | | | | | (1724) all_52_7 = e3
% 242.28/41.65 | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 242.28/41.65 | | | | | | | | | | | | | | | | | e3, e0, e2, simplifying with (164), (1723) gives:
% 242.28/41.65 | | | | | | | | | | | | | | | | | (1725) all_52_13 = e3
% 242.28/41.65 | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | REDUCE: (145), (1725) imply:
% 242.28/41.65 | | | | | | | | | | | | | | | | | (1726) ~ (all_52_1 = e3)
% 242.28/41.65 | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | REDUCE: (140), (1724) imply:
% 242.28/41.65 | | | | | | | | | | | | | | | | | (1727) ~ (all_52_3 = e3)
% 242.28/41.65 | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | REDUCE: (125), (1724) imply:
% 242.28/41.65 | | | | | | | | | | | | | | | | | (1728) ~ (all_52_11 = e3)
% 242.28/41.65 | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | REDUCE: (110), (1725) imply:
% 242.28/41.65 | | | | | | | | | | | | | | | | | (1729) ~ (all_52_14 = e3)
% 242.28/41.65 | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | REDUCE: (371), (1725) imply:
% 242.28/41.65 | | | | | | | | | | | | | | | | | (1730) ~ (all_14_2 = e3)
% 242.28/41.65 | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | REDUCE: (360), (1725) imply:
% 242.28/41.65 | | | | | | | | | | | | | | | | | (1731) ~ (all_4_2 = e3)
% 242.28/41.65 | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 242.28/41.65 | | | | | | | | | | | | | | | | |
% 242.28/41.65 | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.65 | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | (1732) ~ (all_28_2 = e2)
% 242.28/41.66 | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | REDUCE: (330), (1732) imply:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | (1733) ~ (all_14_2 = e2)
% 242.28/41.66 | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 242.28/41.66 | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | (1734) all_54_15 = e3
% 242.28/41.66 | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1734) imply:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | (1735) all_14_2 = e3
% 242.28/41.66 | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | REDUCE: (380), (1735) imply:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | (1736) $false
% 242.28/41.66 | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | CLOSE: (1736) is inconsistent.
% 242.28/41.66 | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | (1737) ~ (all_54_15 = e3)
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | (1738) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 242.28/41.66 | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | BETA: splitting (1738) gives:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | (1739) all_54_15 = e2
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1739) imply:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | (1740) all_14_2 = e2
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | REDUCE: (1733), (1740) imply:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | (1741) $false
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | CLOSE: (1741) is inconsistent.
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | (1742) ~ (all_54_15 = e2)
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | (1743) all_54_15 = e1 | all_54_15 = e0
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1743) gives:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | (1744) all_54_15 = e1
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1744) imply:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | (1745) all_14_2 = e1
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (1745) imply:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | (1746) $false
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1746) is inconsistent.
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | (1747) all_54_15 = e0
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1747) imply:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | (1748) all_14_2 = e0
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (1748) imply:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | (1749) ~ (all_52_3 = e0)
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (1748) imply:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | (1750) ~ (all_52_11 = e0)
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (1748) imply:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | (1751) ~ (e3 = e0)
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1733), (1748) imply:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | (1752) ~ (e2 = e0)
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | (1753) all_56_15 = e0 & op(e0, e0) = e0
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1753) implies:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | (1754) all_56_15 = e0
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | (1755) op(e0, e0) = e0
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | (1756) ~ (all_30_2 = e3)
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1669), (1756) imply:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | (1757) $false
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1757) is inconsistent.
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | (1758) ( ~ (all_30_0 = e0) & op(all_30_1, all_30_1) =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | all_30_0 & op(e3, e1) = all_30_1 & $i(all_30_0)
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_30_1)) | ( ~ (all_30_1 = e2) & op(e3,
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_30_1 & $i(all_30_1))
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | (1759) ~ (all_32_2 = e0)
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (314), (1759) imply:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | (1760) ~ (all_4_2 = e0)
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | (1761) all_54_5 = e3
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (1761) are inconsistent by sub-proof
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | #1847.
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | (1762) ~ (all_54_5 = e3)
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | (1763) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (1764) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1764) gives:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1765) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1765) gives:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1766) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (268), (349), (1682), (1760), (1763),
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1766), (function-axioms) are inconsistent by
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1843.
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (51), (373), (380), (1767),
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1871.
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1768) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1768) gives:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1769) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (1687), (1755), (1769),
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1281.
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1770) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1770) gives:
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1771) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1771) implies:
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1772) op(e3, e3) = e2
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1689), (1772), (function-axioms) are
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1773) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (1682), (1755), (1773),
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1840.
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (1774) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1774) gives:
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1775) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1775) gives:
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1776) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (378), (1689), (1776),
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1863.
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1777) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (168), (378), (1688), (1777),
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1860.
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.28/41.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1778) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1778) gives:
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1779) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1689), (1779), (function-axioms) are
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1780) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1780) gives:
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1781) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1781) implies:
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1782) op(e1, e1) = e0
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1680), (1782), (function-axioms) are
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1771.
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1783) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 242.63/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1783) gives:
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1784) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1784) implies:
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1785) op(e2, e2) = e0
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (268), (1682), (1760), (1763), (1785),
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1834.
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1786) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1786) implies:
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1787) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1787) gives:
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1788) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (159), (373), (1689), (1749), (1788),
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1279.
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1789) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1789) gives:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1790) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1790) implies:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1791) op(e1, e1) = e2
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1680), (1791), (function-axioms) are
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1792) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (157), (159), (1680), (1689), (1749),
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1750), (1787), (1792), (function-axioms) are
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | (1793) all_32_2 = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | (1794) ( ~ (all_32_0 = e1) & op(all_32_1, all_32_1) =
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | all_32_0 & op(e0, e2) = all_32_1 & $i(all_32_0)
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_32_1)) | ( ~ (all_32_1 = e3) & op(e0,
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_32_1 & $i(all_32_1))
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (1793) imply:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | (1795) all_4_2 = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1682), (1795) imply:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | (1796) ~ (e1 = e0)
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (1795) imply:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | (1797) op(e2, e2) = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1794) gives:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | (1798) ~ (all_32_0 = e1) & op(all_32_1, all_32_1) =
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | all_32_0 & op(e0, e2) = all_32_1 & $i(all_32_0) &
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1798) implies:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | (1799) ~ (all_32_0 = e1)
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | (1800) op(e0, e2) = all_32_1
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | (1801) op(all_32_1, all_32_1) = all_32_0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (1802) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1802) gives:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803) all_56_0 = e0 & op(e3, e3) = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1803) implies:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1804) op(e3, e3) = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1689), (1804), (function-axioms) are
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1859.
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1805) all_56_1 = e0 & op(e3, e2) = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1805) implies:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1806) all_56_1 = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1807) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1807) gives:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1808) all_56_0 = e0 & op(e3, e3) = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1808) implies:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1809) op(e3, e3) = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1689), (1809), (function-axioms) are
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1859.
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1810) all_56_2 = e0 & op(e2, e3) = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1810) implies:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1811) all_56_2 = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (217), (222),
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (234), (1680), (1689), (1722), (1750),
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797), (1806), (1811), (function-axioms) are
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1812) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1812) gives:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1813) all_56_6 = e0 & op(e1, e3) = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1813) implies:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1814) all_56_6 = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (51), (210), (215),
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (232), (234), (378), (1680), (1689),
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1695), (1722), (1797), (1806), (1814),
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1265.
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1815) all_56_12 = e0 & op(e0, e3) = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1815) implies:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1816) op(e0, e3) = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (1749), (1816), (function-axioms) are
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1830.
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (1817) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1817) gives:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1818) all_56_4 = e0 & op(e3, e1) = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1818) implies:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1819) all_56_4 = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1820) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1820) gives:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1821) all_56_0 = e0 & op(e3, e3) = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1821) implies:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1822) op(e3, e3) = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1689), (1822), (function-axioms) are
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1859.
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1823) all_56_2 = e0 & op(e2, e3) = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1823) implies:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1824) all_56_2 = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1825) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1825) gives:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1826) all_56_2 = e2 & op(e2, e3) = e2
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1826) implies:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1827) all_56_2 = e2
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1824), (1827) are inconsistent by sub-proof
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1658.
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1828) all_56_3 = e2 & op(e2, e2) = e2
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1828) implies:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1829) all_56_3 = e2
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1830) op(e2, e2) = e2
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1831) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1831) gives:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1832) all_56_6 = e0 & op(e1, e3) = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1832) implies:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1833) all_56_6 = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (221), (222),
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (231), (233), (373), (1689), (1722),
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797), (1824), (1833), (function-axioms) are
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1256.
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1834) all_56_7 = e0 & op(e1, e2) = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1834) implies:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1835) all_56_7 = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1836) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1836) gives:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1837) all_56_1 = e1 & op(e3, e2) = e1
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1837) implies:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1838) all_56_1 = e1
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1839) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1839) gives:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1840) all_56_2 = e1 & op(e2, e3) = e1
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1840) implies:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1841) all_56_2 = e1
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1824), (1841) imply:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1842) e1 = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1842) implies:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1843) e1 = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1838), (1843) imply:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1844) all_56_1 = e0
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (217), (222),
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (234), (1680), (1689), (1722), (1750),
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797), (1824), (1844), (function-axioms) are
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1845) all_56_3 = e1 & op(e2, e2) = e1
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1845) implies:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1846) op(e2, e2) = e1
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1797), (1846), (function-axioms) are
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1795.
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1847) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1847) gives:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1848) all_56_5 = e1 & op(e2, e1) = e1
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1848) implies:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1849) all_56_5 = e1
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1850) op(e2, e1) = e1
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1851) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (1689), (1838), (1851),
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1254.
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1852) gives:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1853) all_56_4 = e2 & op(e3, e1) = e2
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1819), (1853) are inconsistent by sub-proof
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1525.
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1854) all_56_9 = e2 & op(e3, e0) = e2
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1854) implies:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1855) all_56_9 = e2
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1856) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1856) gives:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1857) all_56_9 = e1 & op(e3, e0) = e1
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1855), (1857) are inconsistent by sub-proof
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1253.
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1858) all_56_10 = e1 & op(e2, e0) = e1
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1722), (1858) are inconsistent by sub-proof
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1808.
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1859) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1859) gives:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1860) all_56_11 = e1 & op(e1, e0) = e1
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1860) implies:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1861) all_56_11 = e1
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1862) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1862) gives:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1863) all_56_6 = e2 & op(e1, e3) = e2
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1863) implies:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1864) all_56_6 = e2
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1865) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (221), (223),
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (373), (1689), (1849), (1850), (1865),
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1262.
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1866) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1866) gives:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1867) all_56_6 = e1 & op(e1, e3) = e1
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1864), (1867) are inconsistent by sub-proof
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1452.
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1868) all_56_12 = e1 & op(e0, e3) = e1
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1868) implies:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1869) all_56_12 = e1
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e2,
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (1797), (1830) gives:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1870) e2 = e0
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1864), (1870) imply:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1871) all_56_6 = e0
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (1689), (1824), (1869),
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1871), (function-axioms) are inconsistent by
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1258.
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1872) all_56_7 = e2 & op(e1, e2) = e2
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1872) implies:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1873) all_56_7 = e2
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1835), (1873) are inconsistent by sub-proof
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1734.
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1874) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (1680), (1861), (1874),
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1759.
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1875) all_56_15 = e1 & op(e0, e0) = e1
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1875) implies:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876) op(e0, e0) = e1
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (378), (1876), (function-axioms) are
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1865.
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1877) all_56_10 = e1 & op(e2, e0) = e1
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1722), (1877) are inconsistent by sub-proof
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1808.
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1878) all_56_3 = e1 & op(e2, e2) = e1
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1878) implies:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1879) op(e2, e2) = e1
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1797), (1879), (function-axioms) are
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1795.
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (1695), (1835), (1880) are inconsistent
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1551.
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1881) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1881) gives:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1882) all_56_8 = e0 & op(e1, e1) = e0
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1882) implies:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883) op(e1, e1) = e0
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1819), (1883), (function-axioms) are inconsistent
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1515.
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1884) all_56_11 = e0 & op(e1, e0) = e0
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1884) implies:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1885) all_56_11 = e0
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1886) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1797), (1824), (1886), (function-axioms) are
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1583.
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1887) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1887) gives:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1888) all_56_5 = e1 & op(e2, e1) = e1
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1888) implies:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889) all_56_5 = e1
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1890) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1890) gives:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1891) all_56_9 = e1 & op(e3, e0) = e1
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1891) implies:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1892) all_56_9 = e1
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1893) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1893) gives:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1894) all_56_1 = e0 & op(e3, e2) = e0
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1894) implies:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1895) all_56_1 = e0
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (232), (234), (1689),
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797), (1830), (1892), (1895), (function-axioms)
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1268.
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1896) all_56_3 = e0 & op(e2, e2) = e0
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1829), (1896) are inconsistent by sub-proof
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1311.
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1897) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1897) gives:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1898) all_56_7 = e0 & op(e1, e2) = e0
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1898) implies:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1899) all_56_7 = e0
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1900) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1900) gives:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1901) all_56_6 = e1 & op(e1, e3) = e1
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1901) implies:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1902) all_56_6 = e1
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (215), (1680), (1885), (1899),
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1902), (function-axioms) are inconsistent by
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1251.
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1903) all_56_7 = e1 & op(e1, e2) = e1
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1903) implies:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1904) all_56_7 = e1
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1899), (1904) imply:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905) e1 = e0
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (222), (1722), (1797), (1824), (1889),
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905), (function-axioms) are inconsistent by
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1261.
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1906) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1906) gives:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1907) all_56_8 = e1 & op(e1, e1) = e1
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1907) implies:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1908) op(e1, e1) = e1
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1680), (1908), (function-axioms) are
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1875.
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.65/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1909) all_56_11 = e1 & op(e1, e0) = e1
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1909) implies:
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1910) all_56_11 = e1
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1885), (1910) imply:
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1911) e1 = e0
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (222), (1722), (1797), (1824), (1889),
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1911), (function-axioms) are inconsistent by
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1261.
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1912) all_56_13 = e0 & op(e0, e2) = e0
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1695), (1912) are inconsistent by sub-proof
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1680.
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1913) all_56_10 = e1 & op(e2, e0) = e1
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1913) implies:
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1914) all_56_10 = e1
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1722), (1914) are inconsistent by sub-proof
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1812.
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1915) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1915) gives:
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1916) all_56_11 = e1 & op(e1, e0) = e1
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1916) implies:
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1917) all_56_11 = e1
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1885), (1917) imply:
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1918) e1 = e0
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (222), (1722), (1797), (1824), (1889),
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1918), (function-axioms) are inconsistent by
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1261.
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1919) all_56_15 = e1 & op(e0, e0) = e1
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1919) implies:
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1920) op(e0, e0) = e1
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (378), (1920), (function-axioms) are
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1865.
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1921) all_56_10 = e1 & op(e2, e0) = e1
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1722), (1921) are inconsistent by sub-proof
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1808.
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.74/41.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1922) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1922) gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1923) all_56_5 = e2 & op(e2, e1) = e2
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1923) implies:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924) op(e2, e1) = e2
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (222), (1722), (1797), (1824),
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924), (function-axioms) are inconsistent by
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1581.
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925) all_56_10 = e2 & op(e2, e0) = e2
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1722), (1925) are inconsistent by sub-proof
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1743.
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1926) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1926) gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) all_56_6 = e0 & op(e1, e3) = e0
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1928) gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1818) implies:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929) op(e3, e1) = e0
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1927) implies:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1930) op(e1, e3) = e0
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_32_1,
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (1696), (1800) gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1931) all_32_1 = e3
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (1930) gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1932) all_52_2 = e0
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (1929) gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1933) all_52_8 = e0
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (1932) imply:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1934) ~ (all_52_3 = e0)
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (1932) imply:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1935) ~ (all_52_14 = e0)
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1935) implies:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1936) ~ (all_52_14 = e0)
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1933) imply:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1937) ~ (all_52_11 = e0)
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (1933) imply:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1938) ~ (all_52_12 = e0)
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1938) implies:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939) ~ (all_52_12 = e0)
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1801), (1931) imply:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1940) op(e3, e3) = all_32_0
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1666) gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1941) ~ (all_20_0 = e2) & op(all_20_1, all_20_1) =
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_0 & op(e3, e1) = all_20_1 & $i(all_20_0) &
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1941) implies:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1942) ~ (all_20_0 = e2)
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1943) op(e3, e1) = all_20_1
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944) op(all_20_1, all_20_1) = all_20_0
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1758) gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1945) ~ (all_30_0 = e0) & op(all_30_1, all_30_1) =
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_30_0 & op(e3, e1) = all_30_1 & $i(all_30_0) &
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1945) implies:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1946) ~ (all_30_0 = e0)
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1947) op(e3, e1) = all_30_1
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1948) op(all_30_1, all_30_1) = all_30_0
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1755), (1929), (1946), (1947), (1948),
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1250.
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1949) ~ (all_30_1 = e2) & op(e3, e1) = all_30_1 &
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1949) implies:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1950) ~ (all_30_1 = e2)
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1951) op(e3, e1) = all_30_1
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_30_1,
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (1929), (1951) gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1952) all_30_1 = e0
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1,
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_30_1, e1, e3, simplifying with (1943), (1951)
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1953) all_30_1 = all_20_1
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_32_0,
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (1689), (1940) gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1954) all_32_0 = e3
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1952), (1953) imply:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1955) all_20_1 = e0
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1955) implies:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1956) all_20_1 = e0
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1944), (1956) imply:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1957) op(e0, e0) = all_20_0
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_20_0,
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (1755), (1957) gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1958) all_20_0 = e0
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1959) all_54_12 = e3
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (1727), (1959) are inconsistent by
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1503.
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1960) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1961) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1961) gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1962) all_56_9 = e2 & op(e3, e0) = e2
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1962) implies:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1963) all_56_9 = e2
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1964) op(e3, e0) = e2
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (51), (112), (160), (168),
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (210), (218), (219), (220), (232), (239),
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (378), (380), (1675), (1680), (1688), (1689),
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1722), (1723), (1797), (1819), (1929), (1936),
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939), (1950), (1951), (1963), (1964),
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1241.
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1965) all_56_10 = e2 & op(e2, e0) = e2
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1965) implies:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1966) all_56_10 = e2
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1722), (1966) are inconsistent by sub-proof
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1240.
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1967) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1967) gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1968) all_56_11 = e2 & op(e1, e0) = e2
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1968) implies:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1969) op(e1, e0) = e2
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1970) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1970) gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1971) all_56_9 = e1 & op(e3, e0) = e1
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1971) implies:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1972) all_56_9 = e1
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1973) op(e3, e0) = e1
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1974) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1974) gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1975) all_56_0 = e2 & op(e3, e3) = e2
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1975) implies:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1976) op(e3, e3) = e2
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1689), (1976), (function-axioms) are
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1977) all_56_1 = e2 & op(e3, e2) = e2
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1977) implies:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1978) all_56_1 = e2
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1979) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (1797), (1978), (1979),
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1553.
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1980) gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1981) all_56_7 = e1 & op(e1, e2) = e1
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1981) implies:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1982) op(e1, e2) = e1
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (1969) gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1983) all_52_14 = e2
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (1982) gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1984) all_52_6 = e1
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e3, simplifying with (168), (1973) gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1985) all_52_12 = e1
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (1983), (1985) imply:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1986) ~ (e2 = e1)
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1688), (1985) imply:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1987) ~ (e3 = e1)
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1675), (1983) imply:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1988) ~ (e3 = e2)
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.74/41.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1989) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1989) gives:
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1990) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1990) gives:
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1991) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1991) gives:
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1992) all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17 &
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_17) & $i(all_57_28)
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1992) implies:
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1993) all_57_30 = e3
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1994) all_57_16 = e2
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1995) ~ (all_57_17 = e1)
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1996) op(e2, e3) = e2
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.74/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1997) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1997) gives:
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1998) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16))) & ((all_57_30 = e3 & op(e1,
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e3) | ( ~ (all_57_17 = e1) & op(e1,
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_17 & $i(all_57_17))) &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1998) implies:
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1999) (all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16))
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (1994), (1999), (function-axioms) are
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1239.
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2000) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e2 & op(e3, e3) = e2) | ( ~
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & op(e3, e2) = all_57_19 &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19))) & ((all_57_30 = e2 & op(e1,
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_20 = e1) & op(e1,
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_20 & $i(all_57_20))) &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)))
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2000) implies:
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2001) (all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1680), (1982), (2001), (function-axioms) are
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1238.
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2002) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2002) gives:
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2003) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2003) implies:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2004) op(e1, e3) = all_57_17
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2005) op(e1, all_57_30) = e1
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1993), (2005) imply:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2006) op(e1, e3) = e1
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1995), (2004), (2006), (function-axioms) are
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1304.
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2007) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2007) implies:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2008) op(e0, e1) = all_57_24
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2009) op(e0, e3) = all_57_18
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2010) op(e0, all_57_18) = e3
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2011) (all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2011) gives:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2012) all_57_26 = e0 & op(e3, e3) = e0
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2012) implies:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2013) op(e3, e3) = e0
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1689), (2013), (function-axioms) are
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1859.
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24, e1, e0, simplifying with (157), (2008)
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2014) all_57_24 = all_52_11
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18, e3, e0, simplifying with (159), (2009)
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2015) all_57_18 = all_52_3
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (1996) gives:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2016) all_52_1 = e2
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (2016) imply:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2017) ~ (all_52_3 = e2)
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2017) implies:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2018) ~ (all_52_3 = e2)
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2010), (2015) imply:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2019) op(e0, all_52_3) = e3
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1960) gives:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2020) all_54_12 = e2
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (2020) imply:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2021) all_52_3 = e2
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2018), (2021) imply:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2022) $false
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2022) is inconsistent.
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2023) all_54_12 = e1 | all_54_12 = e0
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2023) gives:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2024) all_54_12 = e1
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (2024) imply:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2025) all_52_3 = e1
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2019), (2025) imply:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2026) op(e0, e1) = e3
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (1674), (2026), (function-axioms) are
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1371.
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2027) all_54_12 = e0
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (2027) imply:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2028) all_52_3 = e0
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1749), (2028) imply:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2029) $false
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2029) is inconsistent.
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2030) all_57_16 = e2 & all_57_31 = e3 & ~ (all_57_18 =
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e0, e3) = all_57_18 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_28)
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2030) implies:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2031) op(e0, e0) = e3
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (380), (2031), (function-axioms) are
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1874.
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2032) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (51), (373), (380), (2032),
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1871.
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2033) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2033) gives:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2034) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (1687), (2034), (function-axioms) are
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2035) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2035) gives:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2036) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2036) implies:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2037) op(e3, e3) = e2
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1689), (2037), (function-axioms) are
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2038) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2038) gives:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2039) all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21 &
% 242.80/41.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_30)
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2039) implies:
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2040) all_57_31 = e2
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2041) all_57_20 = e1
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2042) op(e0, e0) = e2
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2043) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2043) gives:
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e0,
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (1755), (2042) gives:
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2044) e2 = e0
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1978), (2044) imply:
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2045) all_56_1 = e0
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (1689), (1819), (1972),
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2045), (function-axioms) are inconsistent by
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1275.
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e2 & op(e3, e3) = e2) | ( ~
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & op(e3, e2) = all_57_19 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19))) & ((all_57_30 = e2 & op(e1,
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_20 = e1) & op(e1,
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_20 & $i(all_57_20))) &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)))
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2046) implies:
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2047) (all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1680), (1982), (2047), (function-axioms) are
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1238.
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2048) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2048) gives:
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2049) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2049) implies:
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2050) op(e1, all_57_20) = e2
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2041), (2050) imply:
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2051) op(e1, e1) = e2
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1680), (2051), (function-axioms) are
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2052) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2052) implies:
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2053) op(e0, e0) = all_57_31
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2054) (all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2054) gives:
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2055) all_57_26 = e0 & op(e3, e3) = e0
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2055) implies:
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2056) op(e3, e3) = e0
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1689), (2056), (function-axioms) are
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1859.
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e0,
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (1755), (2042) gives:
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2057) e2 = e0
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1978), (2057) imply:
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2058) all_56_1 = e0
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (1689), (1819), (1972),
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2058), (function-axioms) are inconsistent by
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1275.
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2059) all_57_22 = e3 & all_57_28 = e1 & ~ (all_57_23 =
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_26 = e1) & op(e3, e3) =
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & $i(all_57_23) &
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2059) implies:
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2060) op(e2, e2) = e1
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1797), (2060), (function-axioms) are
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1795.
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2061) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2061) gives:
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2062) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2062) gives:
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2063) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (378), (1689), (2063),
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1863.
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2064) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (168), (378), (1688), (2064),
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1860.
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2065) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2065) gives:
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2066) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1689), (2066), (function-axioms) are
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2067) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2067) gives:
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2068) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2068) implies:
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2069) ~ (all_57_28 = e0)
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2070) op(e2, e2) = all_57_28
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1797), (2069), (2070), (function-axioms) are
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1781.
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2071) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2071) gives:
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2072) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2072) implies:
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2073) op(e1, e0) = e1
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1969), (2073), (function-axioms) are
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1741.
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2074) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2074) implies:
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2075) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2075) gives:
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2076) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (159), (373), (1689), (1749), (2076),
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1279.
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2077) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2077) gives:
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2078) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2078) implies:
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2079) ~ (all_57_20 = e1)
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2080) op(e1, e2) = all_57_20
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1982), (2079), (2080), (function-axioms) are
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1497.
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2081) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (157), (159), (1680), (1689), (1749),
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1750), (2075), (2081), (function-axioms) are
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2082) all_56_13 = e1 & op(e0, e2) = e1
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2082) implies:
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2083) all_56_13 = e1
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1695), (2083) are inconsistent by sub-proof
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1732.
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2084) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2084) gives:
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2085) all_56_4 = e2 & op(e3, e1) = e2
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2085) implies:
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2086) op(e3, e1) = e2
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1950), (1951), (2086), (function-axioms) are
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1248.
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2087) all_56_9 = e2 & op(e3, e0) = e2
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2087) implies:
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2088) all_56_9 = e2
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2089) op(e3, e0) = e2
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (51), (112), (160), (168),
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (210), (218), (219), (220), (232), (239),
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (378), (380), (1675), (1680), (1688), (1689),
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1722), (1723), (1797), (1819), (1929), (1936),
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939), (1950), (1951), (2088), (2089),
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1241.
% 242.80/41.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2090) all_56_10 = e1 & op(e2, e0) = e1
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2090) implies:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2091) all_56_10 = e1
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1722), (2091) are inconsistent by sub-proof
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1812.
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2092) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (51), (378), (1969), (2092),
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1660.
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2093) all_56_15 = e2 & op(e0, e0) = e2
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2093) implies:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2094) all_56_15 = e2
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1754), (2094) imply:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2095) e2 = e0
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (2095) imply:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2096) $false
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2096) is inconsistent.
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2097) ~ (all_20_1 = e0) & op(e3, e1) = all_20_1 &
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2097) implies:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2098) ~ (all_20_1 = e0)
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2099) op(e3, e1) = all_20_1
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1929), (2098), (2099), (function-axioms) are
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1237.
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2100) all_56_5 = e0 & op(e2, e1) = e0
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2100) implies:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2101) all_56_5 = e0
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (1680),
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1819), (2101), (function-axioms) are inconsistent
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1234.
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2102) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2102) gives:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2103) all_56_8 = e0 & op(e1, e1) = e0
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2103) implies:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2104) op(e1, e1) = e0
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1819), (2104), (function-axioms) are inconsistent
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1515.
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2105) all_56_14 = e0 & op(e0, e1) = e0
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2105) implies:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2106) op(e0, e1) = e0
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (1750), (2106), (function-axioms) are
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1826.
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2107) all_56_12 = e0 & op(e0, e3) = e0
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2107) implies:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2108) op(e0, e3) = e0
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (1749), (2108), (function-axioms) are
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1830.
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2109) all_56_9 = e0 & op(e3, e0) = e0
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2109) implies:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2110) all_56_9 = e0
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (51), (210), (211),
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (378), (1722), (1754), (2110), (function-axioms)
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1738.
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | (2111) ~ (all_32_1 = e3) & op(e0, e2) = all_32_1 &
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2111) implies:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | (2112) ~ (all_32_1 = e3)
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | (2113) op(e0, e2) = all_32_1
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1696), (2112), (2113), (function-axioms) are
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1750.
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | (2114) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2114) implies:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | (2115) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (159), (1695), (1749), (1750), (2115),
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | #1446.
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.77 | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.77 | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.77 | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | (2116) all_28_2 = e2
% 242.80/41.77 | | | | | | | | | | | | | | | | | | (2117) ( ~ (all_28_0 = e3) & op(all_28_1, all_28_1) =
% 242.80/41.77 | | | | | | | | | | | | | | | | | | all_28_0 & op(e2, e0) = all_28_1 & $i(all_28_0)
% 242.80/41.77 | | | | | | | | | | | | | | | | | | & $i(all_28_1)) | ( ~ (all_28_1 = e1) & op(e2,
% 242.80/41.77 | | | | | | | | | | | | | | | | | | e0) = all_28_1 & $i(all_28_1))
% 242.80/41.77 | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (2116) imply:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | (2118) all_14_2 = e2
% 242.80/41.77 | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | SIMP: (2118) implies:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | (2119) all_14_2 = e2
% 242.80/41.77 | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (2119) imply:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | (2120) all_50_2 = e2
% 242.80/41.77 | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | REDUCE: (372), (2119) imply:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | (2121) ~ (all_52_14 = e2)
% 242.80/41.77 | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | REDUCE: (380), (2119) imply:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | (2122) ~ (e3 = e2)
% 242.80/41.77 | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | REDUCE: (51), (2119) imply:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | (2123) op(e0, e0) = e2
% 242.80/41.77 | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 242.80/41.77 | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | (2124) ~ (all_50_2 = e2)
% 242.80/41.77 | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | REDUCE: (2120), (2124) imply:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | (2125) $false
% 242.80/41.77 | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | CLOSE: (2125) is inconsistent.
% 242.80/41.77 | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | (2126) ( ~ (all_50_0 = e1) & op(all_50_1, all_50_1) =
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | all_50_0 & op(e2, e0) = all_50_1 & $i(all_50_0)
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | & $i(all_50_1)) | ( ~ (all_50_1 = e3) & op(e2,
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | e0) = all_50_1 & $i(all_50_1))
% 242.80/41.77 | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | BETA: splitting (2126) gives:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | (2127) ~ (all_50_0 = e1) & op(all_50_1, all_50_1) =
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | all_50_0 & op(e2, e0) = all_50_1 & $i(all_50_0) &
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | ALPHA: (2127) implies:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | (2128) op(e2, e0) = all_50_1
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | (2129) op(all_50_1, all_50_1) = all_50_0
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | (2130) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2130) gives:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | (2131) all_56_12 = e2 & op(e0, e3) = e2
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2131) implies:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | (2132) all_56_12 = e2
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (206), (207), (1695),
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | (2123), (2132), (function-axioms) are inconsistent
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1674.
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | (2133) all_56_13 = e2 & op(e0, e2) = e2
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1695), (2133) are inconsistent by sub-proof
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | #1569.
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | (2134) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2134) gives:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | (2135) all_56_14 = e2 & op(e0, e1) = e2
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2135) implies:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | (2136) all_56_14 = e2
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (206), (207), (1695),
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | (2123), (2136), (function-axioms) are inconsistent
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1630.
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | (2137) all_56_15 = e2 & op(e0, e0) = e2
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2137) implies:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | (2138) all_56_15 = e2
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_50_1,
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (1723), (2128) gives:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | (2139) all_50_1 = e3
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2129), (2139) imply:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | (2140) op(e3, e3) = all_50_0
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2117) gives:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | (2141) ~ (all_28_0 = e3) & op(all_28_1, all_28_1) =
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | all_28_0 & op(e2, e0) = all_28_1 & $i(all_28_0) &
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2141) implies:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | (2142) ~ (all_28_0 = e3)
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | (2143) op(e2, e0) = all_28_1
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | (2144) op(all_28_1, all_28_1) = all_28_0
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_28_1,
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (1723), (2143) gives:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | (2145) all_28_1 = e3
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_50_0,
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (1689), (2140) gives:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | (2146) all_50_0 = e3
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2144), (2145) imply:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | (2147) op(e3, e3) = all_28_0
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_28_0,
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (1689), (2147) gives:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | (2148) all_28_0 = e3
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2142), (2148) imply:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | (2149) $false
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2149) is inconsistent.
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | (2150) ~ (all_28_1 = e1) & op(e2, e0) = all_28_1 &
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2150) implies:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | (2151) ~ (all_28_1 = e1)
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | (2152) op(e2, e0) = all_28_1
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_28_1,
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (1723), (2152) gives:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | (2153) all_28_1 = e3
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_50_0,
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (1689), (2140) gives:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | (2154) all_50_0 = e3
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | (2155) ~ (all_30_2 = e3)
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1669), (2155) imply:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | (2156) $false
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2156) is inconsistent.
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | (2157) ( ~ (all_30_0 = e0) & op(all_30_1, all_30_1) =
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | all_30_0 & op(e3, e1) = all_30_1 & $i(all_30_0)
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_30_1)) | ( ~ (all_30_1 = e2) & op(e3,
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_30_1 & $i(all_30_1))
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | (2158) ~ (all_32_2 = e0)
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (314), (2158) imply:
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | (2159) ~ (all_4_2 = e0)
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.77 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (2160) all_54_5 = e3
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (2160) are inconsistent by sub-proof
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | #1847.
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (2161) ~ (all_54_5 = e3)
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (2162) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2162) gives:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2163) all_54_5 = e2
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (2163) imply:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2164) all_4_2 = e2
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2164) implies:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2165) all_4_2 = e2
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (2165) imply:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2166) ~ (all_52_1 = e2)
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (2165) imply:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2167) ~ (all_52_9 = e2)
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (2165) imply:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2168) op(e2, e2) = e2
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2169) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2169) gives:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2170) all_56_0 = e2 & op(e3, e3) = e2
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2170) implies:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2171) op(e3, e3) = e2
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1689), (2171), (function-axioms) are
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2172) all_56_2 = e2 & op(e2, e3) = e2
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2172) implies:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2173) op(e2, e3) = e2
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (2166), (2173), (function-axioms) are
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1846.
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2174) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2174) gives:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2175) all_56_6 = e2 & op(e1, e3) = e2
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2175) implies:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2176) all_56_6 = e2
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2177) op(e1, e3) = e2
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (112),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (120), (141), (148), (149), (159), (160), (162),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (165), (167), (168), (169), (170), (200),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (210), (211), (213), (214), (215),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (221), (222), (223), (224),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (229), (230), (231), (232), (233),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (238), (239), (269), (373), (378), (380),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1666), (1672), (1673), (1675), (1680), (1682),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1687), (1688), (1689), (1695), (1696), (1722),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723), (1726), (2123), (2138), (2157), (2167),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2168), (2176), (2177), (function-axioms) are
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1213.
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2178) all_56_12 = e2 & op(e0, e3) = e2
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2178) implies:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2179) all_56_12 = e2
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2180) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2180) gives:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2181) all_56_12 = e1 & op(e0, e3) = e1
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2179), (2181) are inconsistent by sub-proof
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1679.
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2182) all_56_13 = e1 & op(e0, e2) = e1
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1695), (2182) are inconsistent by sub-proof
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1701.
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2183) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2183) gives:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2184) all_56_14 = e1 & op(e0, e1) = e1
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2184) implies:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2185) all_56_14 = e1
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2186) op(e0, e1) = e1
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2187) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2187) gives:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2188) all_56_4 = e2 & op(e3, e1) = e2
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2188) implies:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2189) all_56_4 = e2
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2190) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2190) gives:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2191) all_56_4 = e0 & op(e3, e1) = e0
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2189), (2191) are inconsistent by sub-proof
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1640.
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2192) all_56_5 = e0 & op(e2, e1) = e0
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2192) implies:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2193) all_56_5 = e0
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2194) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2194) gives:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2195) all_56_2 = e1 & op(e2, e3) = e1
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2195) implies:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2196) all_56_2 = e1
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2197) op(e2, e3) = e1
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2198) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2198) gives:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2199) all_56_6 = e2 & op(e1, e3) = e2
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2199) implies:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2200) all_56_6 = e2
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2201) op(e1, e3) = e2
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (112),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (120), (141), (148), (149), (159), (160), (162),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (165), (167), (168), (169), (170), (200),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (210), (211), (213), (214), (215),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (221), (222), (223), (224),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (229), (230), (231), (232), (233),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (238), (239), (269), (373), (378), (380),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1666), (1672), (1673), (1675), (1680), (1682),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1687), (1688), (1689), (1695), (1696), (1722),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723), (1726), (2123), (2138), (2157), (2167),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2168), (2200), (2201), (function-axioms) are
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1213.
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2202) all_56_7 = e2 & op(e1, e2) = e2
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2202) implies:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2203) all_56_7 = e2
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2204) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2204) gives:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2205) all_56_1 = e1 & op(e3, e2) = e1
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2205) implies:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2206) all_56_1 = e1
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2207) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2207) gives:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2208) all_56_1 = e0 & op(e3, e2) = e0
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2206), (2208) are inconsistent by sub-proof
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1221.
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2209) all_56_3 = e0 & op(e2, e2) = e0
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2209) implies:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2210) op(e2, e2) = e0
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (206),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (210), (211), (214), (215), (217), (218),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (224), (226), (227),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (239),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (378), (1680), (1689), (1695), (1722),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723), (2123), (2138), (2157), (2203), (2210),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1217.
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2211) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2211) gives:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2212) all_56_7 = e0 & op(e1, e2) = e0
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2212) implies:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2213) all_56_7 = e0
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2203), (2213) imply:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2214) e2 = e0
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2189), (2214) imply:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2215) all_56_4 = e0
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (1680),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2193), (2215), (function-axioms) are inconsistent
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1234.
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2216) all_56_13 = e0 & op(e0, e2) = e0
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1695), (2216) are inconsistent by sub-proof
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1680.
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2217) all_56_3 = e1 & op(e2, e2) = e1
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2217) implies:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2218) all_56_3 = e1
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2219) op(e2, e2) = e1
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (221), (223), (1722),
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2196), (2197), (2218), (2219), (function-axioms)
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1208.
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2220) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2220) gives:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2221) all_56_7 = e1 & op(e1, e2) = e1
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2203), (2221) are inconsistent by sub-proof
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1366.
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2222) all_56_13 = e1 & op(e0, e2) = e1
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1695), (2222) are inconsistent by sub-proof
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1701.
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2223) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2223) gives:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2224) all_56_8 = e2 & op(e1, e1) = e2
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2224) implies:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2225) op(e1, e1) = e2
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1680), (2225), (function-axioms) are
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2226) all_56_11 = e2 & op(e1, e0) = e2
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2226) implies:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2227) all_56_11 = e2
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2228) op(e1, e0) = e2
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (206), (210), (1722),
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2123), (2227), (2228), (function-axioms) are
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1664.
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2229) all_56_3 = e1 & op(e2, e2) = e1
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2229) implies:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2230) op(e2, e2) = e1
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (1682), (2230), (function-axioms) are
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1867.
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2231) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (1722), (2193), (2231) are inconsistent
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1273.
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2232) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (1680), (2186), (2232),
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1207.
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2233) all_56_5 = e2 & op(e2, e1) = e2
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2233) implies:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2234) op(e2, e1) = e2
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2167), (2234), (function-axioms) are
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1838.
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2235) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (1680), (2185), (2235),
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1206.
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2236) all_56_15 = e1 & op(e0, e0) = e1
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2236) implies:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2237) op(e0, e0) = e1
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2123), (2237), (function-axioms) are
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2238) all_54_5 = e1 | all_54_5 = e0
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (1682), (2159), (2238) are inconsistent by
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1845.
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2239) all_32_2 = e0
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (2239) imply:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2240) all_4_2 = e0
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (2240) imply:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2241) ~ (e3 = e0)
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1682), (2240) imply:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2242) ~ (e1 = e0)
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (2240) imply:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2243) op(e2, e2) = e0
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (2244) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2244) gives:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2245) all_56_6 = e2 & op(e1, e3) = e2
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2245) implies:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2246) all_56_6 = e2
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2247) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2247) gives:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2248) all_56_0 = e0 & op(e3, e3) = e0
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2248) implies:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2249) op(e3, e3) = e0
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1689), (2249), (function-axioms) are
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1859.
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2250) all_56_2 = e0 & op(e2, e3) = e0
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2250) implies:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2251) all_56_2 = e0
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2252) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2252) gives:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2253) all_56_2 = e2 & op(e2, e3) = e2
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2253) implies:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2254) all_56_2 = e2
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2251), (2254) imply:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2255) e2 = e0
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2255) implies:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2256) e2 = e0
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2246), (2256) imply:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2257) all_56_6 = e0
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (221), (222),
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (231), (233), (373), (1689), (1722),
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2243), (2251), (2257), (function-axioms) are
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1256.
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2258) all_56_3 = e2 & op(e2, e2) = e2
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2258) implies:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2259) op(e2, e2) = e2
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2243), (2259), (function-axioms) are
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1835.
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2260) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2260) gives:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2261) all_56_5 = e2 & op(e2, e1) = e2
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2261) implies:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2262) op(e2, e1) = e2
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (222), (1722), (2243), (2251),
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2262), (function-axioms) are inconsistent by
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1581.
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2263) all_56_10 = e2 & op(e2, e0) = e2
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2263) implies:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2264) all_56_10 = e2
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1722), (2264) are inconsistent by sub-proof
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1240.
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2265) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2265) gives:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2266) all_56_6 = e0 & op(e1, e3) = e0
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2266) implies:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2267) all_56_6 = e0
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2246), (2267) are inconsistent by sub-proof
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1764.
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2268) all_56_12 = e0 & op(e0, e3) = e0
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2268) implies:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2269) op(e0, e3) = e0
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2270) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2270) gives:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2271) all_56_6 = e0 & op(e1, e3) = e0
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2271) implies:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2272) all_56_6 = e0
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2246), (2272) are inconsistent by sub-proof
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1764.
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2273) all_56_7 = e0 & op(e1, e2) = e0
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2273) implies:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2274) all_56_7 = e0
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (206),
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (210), (211), (214), (215), (217), (218),
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (224), (226), (227),
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (239),
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (378), (1680), (1689), (1695), (1722),
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723), (2123), (2138), (2157), (2243), (2274),
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1216.
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2275) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2275) gives:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2276) all_56_8 = e0 & op(e1, e1) = e0
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2276) implies:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2277) op(e1, e1) = e0
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1680), (2277), (function-axioms) are
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1771.
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2278) all_56_11 = e0 & op(e1, e0) = e0
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2278) implies:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2279) all_56_11 = e0
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280) op(e1, e0) = e0
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2281) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2281) gives:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2282) all_56_0 = e1 & op(e3, e3) = e1
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2282) implies:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2283) op(e3, e3) = e1
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1689), (2283), (function-axioms) are
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1864.
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2284) all_56_2 = e1 & op(e2, e3) = e1
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2284) implies:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2285) all_56_2 = e1
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2286) op(e2, e3) = e1
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2287) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (2243), (2286), (2287),
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1227.
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2288) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2288) gives:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2289) all_56_5 = e2 & op(e2, e1) = e2
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2289) implies:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2290) all_56_5 = e2
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291) op(e2, e1) = e2
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2292) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2292) gives:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2293) all_56_9 = e1 & op(e3, e0) = e1
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2293) implies:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2294) all_56_9 = e1
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2295) op(e3, e0) = e1
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2296) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2296) gives:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2297) all_56_12 = e1 & op(e0, e3) = e1
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2297) implies:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2298) op(e0, e3) = e1
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2269), (2298), (function-axioms) are
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1636.
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2299) all_56_13 = e1 & op(e0, e2) = e1
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2299) implies:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2300) all_56_13 = e1
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1695), (2300) are inconsistent by sub-proof
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1732.
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2301) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2301) gives:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2302) all_56_14 = e1 & op(e0, e1) = e1
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2302) implies:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2303) op(e0, e1) = e1
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2304) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2304) gives:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2305) all_56_4 = e0 & op(e3, e1) = e0
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2305) implies:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2306) all_56_4 = e0
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2307) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2307) gives:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2308) all_56_0 = e2 & op(e3, e3) = e2
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2308) implies:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2309) op(e3, e3) = e2
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1689), (2309), (function-axioms) are
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2310) all_56_1 = e2 & op(e3, e2) = e2
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2310) implies:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2311) all_56_1 = e2
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2312) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2312) gives:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2313) all_56_1 = e1 & op(e3, e2) = e1
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2311), (2313) are inconsistent by sub-proof
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1554.
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2314) all_56_3 = e1 & op(e2, e2) = e1
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2314) implies:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2315) all_56_3 = e1
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2316) op(e2, e2) = e1
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (221), (223), (1722),
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2285), (2286), (2315), (2316), (function-axioms)
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1208.
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2317) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2317) gives:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2318) all_56_7 = e1 & op(e1, e2) = e1
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2318) implies:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2319) op(e1, e2) = e1
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (2269) gives:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2320) all_52_3 = e0
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (2280) gives:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2321) all_52_14 = e0
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (2319) gives:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2322) all_52_6 = e1
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (2291) gives:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2323) all_52_9 = e2
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e3, simplifying with (168), (2295) gives:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2324) all_52_12 = e1
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2121), (2321) imply:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2325) ~ (e2 = e0)
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2326) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2326) gives:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2327) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16))) & ((all_57_30 = e3 & op(e1,
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e3) | ( ~ (all_57_17 = e1) & op(e1,
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_17 & $i(all_57_17))) &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (380), (2269), (2327), (function-axioms) are
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1331.
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2328) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e2 & op(e3, e3) = e2) | ( ~
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & op(e3, e2) = all_57_19 &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19))) & ((all_57_30 = e2 & op(e1,
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_20 = e1) & op(e1,
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_20 & $i(all_57_20))) &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)))
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2328) implies:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2329) (all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1680), (2319), (2329), (function-axioms) are
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1238.
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2330) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2330) gives:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2331) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2331) implies:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2332) (all_57_28 = e1 & op(e2, e2) = e1) | ( ~
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & op(e2, e1) = all_57_23 &
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2332) gives:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2333) all_57_28 = e1 & op(e2, e2) = e1
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2333) implies:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2334) op(e2, e2) = e1
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (221), (1722), (2285), (2290),
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2334), (function-axioms) are inconsistent by
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1209.
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2335) ~ (all_57_23 = e2) & op(e2, e1) = all_57_23 &
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2335) implies:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2336) ~ (all_57_23 = e2)
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2337) op(e2, e1) = all_57_23
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2291), (2336), (2337), (function-axioms) are
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1790.
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2338) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (380), (2269), (2338), (function-axioms) are
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1305.
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2339) all_56_13 = e1 & op(e0, e2) = e1
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2339) implies:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2340) all_56_13 = e1
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1695), (2340) are inconsistent by sub-proof
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1732.
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2341) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2341) gives:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2342) all_56_4 = e2 & op(e3, e1) = e2
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2342) implies:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2343) all_56_4 = e2
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2306), (2343) imply:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2344) e2 = e0
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2344) implies:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2345) e2 = e0
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2290), (2345) imply:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2346) all_56_5 = e0
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (223),
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680), (1722), (2243), (2286), (2343), (2346),
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1226.
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2347) all_56_9 = e2 & op(e3, e0) = e2
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2347) implies:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2348) all_56_9 = e2
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2294), (2348) are inconsistent by sub-proof
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1276.
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2349) all_56_5 = e0 & op(e2, e1) = e0
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2290), (2349) are inconsistent by sub-proof
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1210.
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2350) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (1680), (2303), (2350),
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1207.
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2351) all_56_15 = e1 & op(e0, e0) = e1
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2351) implies:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2352) op(e0, e0) = e1
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2123), (2352), (function-axioms) are
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2353) all_56_10 = e1 & op(e2, e0) = e1
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2353) implies:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2354) all_56_10 = e1
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1722), (2354) are inconsistent by sub-proof
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1812.
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2355) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2355) gives:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2356) all_56_11 = e1 & op(e1, e0) = e1
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2356) implies:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2357) all_56_11 = e1
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2279), (2357) imply:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2358) e1 = e0
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2358) implies:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2359) e1 = e0
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2285), (2359) imply:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2360) all_56_2 = e0
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (222), (1722), (2243), (2291),
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2360), (function-axioms) are inconsistent by
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1581.
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2361) all_56_15 = e1 & op(e0, e0) = e1
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2361) implies:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2362) op(e0, e0) = e1
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2123), (2362), (function-axioms) are
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2363) all_56_10 = e2 & op(e2, e0) = e2
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2363) implies:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2364) all_56_10 = e2
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1722), (2364) are inconsistent by sub-proof
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1240.
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2365) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2365) gives:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2366) all_56_6 = e1 & op(e1, e3) = e1
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2366) implies:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2367) all_56_6 = e1
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2246), (2367) are inconsistent by sub-proof
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1463.
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2368) all_56_12 = e1 & op(e0, e3) = e1
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2368) implies:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2369) op(e0, e3) = e1
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2269), (2369), (function-axioms) are
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1636.
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2370) all_56_7 = e2 & op(e1, e2) = e2
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2370) implies:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371) all_56_7 = e2
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (206),
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (210), (211), (214), (215), (217), (218),
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (224), (226), (227),
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (239),
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (378), (1680), (1689), (1695), (1722),
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723), (2123), (2138), (2157), (2243), (2371),
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1217.
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.80/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (2372) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2372) gives:
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2373) all_56_8 = e2 & op(e1, e1) = e2
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2373) implies:
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2374) op(e1, e1) = e2
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1680), (2374), (function-axioms) are
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2375) all_56_11 = e2 & op(e1, e0) = e2
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2375) implies:
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2376) all_56_11 = e2
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2377) op(e1, e0) = e2
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (206), (210), (1722),
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2123), (2376), (2377), (function-axioms) are
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1664.
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | (2378) ~ (all_50_1 = e3) & op(e2, e0) = all_50_1 &
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | ALPHA: (2378) implies:
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | (2379) ~ (all_50_1 = e3)
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | (2380) op(e2, e0) = all_50_1
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1723), (2379), (2380), (function-axioms) are
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1693.
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.81 | | | | | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.81 | | | | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | | | | End of split
% 243.18/41.81 | | | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | | | End of split
% 243.18/41.81 | | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | | End of split
% 243.18/41.81 | | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | | End of split
% 243.18/41.81 | | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | End of split
% 243.18/41.81 | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | Case 2:
% 243.18/41.81 | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | (2381) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 243.18/41.81 | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (1684), (2381) are
% 243.18/41.81 | | | | | | | | | | | | | inconsistent by sub-proof #1850.
% 243.18/41.81 | | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | End of split
% 243.18/41.81 | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | Case 2:
% 243.18/41.81 | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | (2382) all_26_2 = e1
% 243.18/41.81 | | | | | | | | | | | | (2383) ( ~ (all_26_0 = e2) & op(all_26_1, all_26_1) =
% 243.18/41.81 | | | | | | | | | | | | all_26_0 & op(e1, e3) = all_26_1 & $i(all_26_0)
% 243.18/41.81 | | | | | | | | | | | | & $i(all_26_1)) | ( ~ (all_26_1 = e0) & op(e1,
% 243.18/41.81 | | | | | | | | | | | | e3) = all_26_1 & $i(all_26_1))
% 243.18/41.81 | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | COMBINE_EQS: (307), (2382) imply:
% 243.18/41.81 | | | | | | | | | | | | (2384) all_6_2 = e1
% 243.18/41.81 | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | COMBINE_EQS: (303), (2384) imply:
% 243.18/41.81 | | | | | | | | | | | | (2385) all_42_2 = e1
% 243.18/41.81 | | | | | | | | | | | |
% 243.18/41.81 | | | | | | | | | | | | REDUCE: (338), (2384) imply:
% 243.18/41.81 | | | | | | | | | | | | (2386) ~ (all_52_1 = e1)
% 243.18/41.81 | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | REDUCE: (342), (2384) imply:
% 243.18/41.82 | | | | | | | | | | | | (2387) ~ (all_52_3 = e1)
% 243.18/41.82 | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | REDUCE: (344), (2384) imply:
% 243.18/41.82 | | | | | | | | | | | | (2388) ~ (all_52_4 = e1)
% 243.18/41.82 | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | REDUCE: (346), (2384) imply:
% 243.18/41.82 | | | | | | | | | | | | (2389) ~ (all_52_8 = e1)
% 243.18/41.82 | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | REDUCE: (348), (2384) imply:
% 243.18/41.82 | | | | | | | | | | | | (2390) ~ (all_52_12 = e1)
% 243.18/41.82 | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | REDUCE: (377), (2384) imply:
% 243.18/41.82 | | | | | | | | | | | | (2391) ~ (e2 = e1)
% 243.18/41.82 | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | REDUCE: (39), (2384) imply:
% 243.18/41.82 | | | | | | | | | | | | (2392) op(e3, e3) = e1
% 243.18/41.82 | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | BETA: splitting (73) gives:
% 243.18/41.82 | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | Case 1:
% 243.18/41.82 | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | (2393) ~ (all_28_2 = e2)
% 243.18/41.82 | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | REDUCE: (330), (2393) imply:
% 243.18/41.82 | | | | | | | | | | | | | (2394) ~ (all_14_2 = e2)
% 243.18/41.82 | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | BETA: splitting (189) gives:
% 243.18/41.82 | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | Case 1:
% 243.18/41.82 | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | (2395) all_54_15 = e3
% 243.18/41.82 | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | REF_CLOSE: (246), (380), (2395) are inconsistent by sub-proof
% 243.18/41.82 | | | | | | | | | | | | | | #1489.
% 243.18/41.82 | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | Case 2:
% 243.18/41.82 | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | (2396) ~ (all_54_15 = e3)
% 243.18/41.82 | | | | | | | | | | | | | | (2397) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 243.18/41.82 | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | BETA: splitting (2397) gives:
% 243.18/41.82 | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | Case 1:
% 243.18/41.82 | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | (2398) all_54_15 = e2
% 243.18/41.82 | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | REF_CLOSE: (246), (2394), (2398) are inconsistent by
% 243.18/41.82 | | | | | | | | | | | | | | | sub-proof #1488.
% 243.18/41.82 | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | Case 2:
% 243.18/41.82 | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | (2399) ~ (all_54_15 = e2)
% 243.18/41.82 | | | | | | | | | | | | | | | (2400) all_54_15 = e1 | all_54_15 = e0
% 243.18/41.82 | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | BETA: splitting (2400) gives:
% 243.18/41.82 | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | Case 1:
% 243.18/41.82 | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | (2401) all_54_15 = e1
% 243.18/41.82 | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | REF_CLOSE: (246), (378), (2401) are inconsistent by sub-proof
% 243.18/41.82 | | | | | | | | | | | | | | | | #1487.
% 243.18/41.82 | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | Case 2:
% 243.18/41.82 | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | (2402) all_54_15 = e0
% 243.18/41.82 | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (2402) imply:
% 243.18/41.82 | | | | | | | | | | | | | | | | (2403) all_14_2 = e0
% 243.18/41.82 | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | SIMP: (2403) implies:
% 243.18/41.82 | | | | | | | | | | | | | | | | (2404) all_14_2 = e0
% 243.18/41.82 | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | REDUCE: (351), (2404) imply:
% 243.18/41.82 | | | | | | | | | | | | | | | | (2405) ~ (all_52_3 = e0)
% 243.18/41.82 | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | REDUCE: (369), (2404) imply:
% 243.18/41.82 | | | | | | | | | | | | | | | | (2406) ~ (all_52_11 = e0)
% 243.18/41.82 | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | REDUCE: (370), (2404) imply:
% 243.18/41.82 | | | | | | | | | | | | | | | | (2407) ~ (all_52_12 = e0)
% 243.18/41.82 | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | REDUCE: (372), (2404) imply:
% 243.18/41.82 | | | | | | | | | | | | | | | | (2408) ~ (all_52_14 = e0)
% 243.18/41.82 | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | REDUCE: (380), (2404) imply:
% 243.18/41.82 | | | | | | | | | | | | | | | | (2409) ~ (e3 = e0)
% 243.18/41.82 | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | REDUCE: (2394), (2404) imply:
% 243.18/41.82 | | | | | | | | | | | | | | | | (2410) ~ (e2 = e0)
% 243.18/41.82 | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | REDUCE: (378), (2404) imply:
% 243.18/41.82 | | | | | | | | | | | | | | | | (2411) ~ (e1 = e0)
% 243.18/41.82 | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | REDUCE: (51), (2404) imply:
% 243.18/41.82 | | | | | | | | | | | | | | | | (2412) op(e0, e0) = e0
% 243.18/41.82 | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 243.18/41.82 | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.82 | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | (2413) all_56_15 = e0 & op(e0, e0) = e0
% 243.18/41.82 | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | ALPHA: (2413) implies:
% 243.18/41.82 | | | | | | | | | | | | | | | | | (2414) all_56_15 = e0
% 243.18/41.82 | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 243.18/41.82 | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.82 | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | (2415) ~ (all_30_2 = e3)
% 243.18/41.82 | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | REDUCE: (1669), (2415) imply:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | (2416) $false
% 243.18/41.82 | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | CLOSE: (2416) is inconsistent.
% 243.18/41.82 | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.82 | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | (2417) ( ~ (all_30_0 = e0) & op(all_30_1, all_30_1) =
% 243.18/41.82 | | | | | | | | | | | | | | | | | | all_30_0 & op(e3, e1) = all_30_1 & $i(all_30_0)
% 243.18/41.82 | | | | | | | | | | | | | | | | | | & $i(all_30_1)) | ( ~ (all_30_1 = e2) & op(e3,
% 243.18/41.82 | | | | | | | | | | | | | | | | | | e1) = all_30_1 & $i(all_30_1))
% 243.18/41.82 | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 243.18/41.82 | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | (2418) ~ (all_32_2 = e0)
% 243.18/41.82 | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | REDUCE: (314), (2418) imply:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | (2419) ~ (all_4_2 = e0)
% 243.18/41.82 | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (36), (51), (157), (159), (164), (165),
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | (167), (199), (238), (268), (349), (358), (360),
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | (373), (378), (380), (1680), (1682), (2392),
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | (2405), (2406), (2412), (2419), (function-axioms)
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1199.
% 243.18/41.82 | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | (2420) all_32_2 = e0
% 243.18/41.82 | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (2420) imply:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | (2421) all_4_2 = e0
% 243.18/41.82 | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | REDUCE: (349), (2421) imply:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | (2422) ~ (all_52_1 = e0)
% 243.18/41.82 | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | REDUCE: (358), (2421) imply:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | (2423) ~ (all_52_9 = e0)
% 243.18/41.82 | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | REDUCE: (360), (2421) imply:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | (2424) ~ (all_52_13 = e0)
% 243.18/41.82 | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | REDUCE: (36), (2421) imply:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | (2425) op(e2, e2) = e0
% 243.18/41.82 | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | (2426) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2426) gives:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | (2427) all_56_4 = e0 & op(e3, e1) = e0
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2427) implies:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | (2428) all_56_4 = e0
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | (2429) op(e3, e1) = e0
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | (2430) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2430) gives:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | (2431) all_56_6 = e0 & op(e1, e3) = e0
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2431) implies:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | (2432) all_56_6 = e0
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (110),
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | (112), (113), (117), (118), (139), (145), (146),
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | (148), (157), (160), (163), (164), (165), (167),
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (190), (192), (193), (197),
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | (198), (200), (201), (208), (209), (210), (211),
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (218), (219), (220),
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (226), (233), (235),
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | (239), (247), (249), (250), (260), (261), (269),
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | (270), (373), (378), (380), (1670), (1672),
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | (1673), (1674), (1679), (1680), (2386), (2387),
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | (2388), (2389), (2390), (2392), (2405), (2406),
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | (2407), (2408), (2412), (2414), (2417), (2422),
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | (2423), (2424), (2425), (2428), (2429), (2432),
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | #1179.
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | (2433) all_56_7 = e0 & op(e1, e2) = e0
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2433) implies:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | (2434) all_56_7 = e0
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | (2435) op(e1, e2) = e0
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | (2436) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2436) gives:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | (2437) all_56_6 = e1 & op(e1, e3) = e1
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2437) implies:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | (2438) all_56_6 = e1
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (2439) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (2388), (2425), (2439),
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | #1340.
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (2440) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2440) gives:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2441) all_56_7 = e1 & op(e1, e2) = e1
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2441) implies:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2442) all_56_7 = e1
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (215), (216),
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680), (2438), (2442), (function-axioms) are
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1178.
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2443) all_56_13 = e1 & op(e0, e2) = e1
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2443) implies:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2444) all_56_13 = e1
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2445) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (2434), (2438), (2445) are inconsistent
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1252.
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2446) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2446) gives:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2447) all_56_8 = e2 & op(e1, e1) = e2
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2447) implies:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2448) op(e1, e1) = e2
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1680), (2448), (function-axioms) are
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2449) all_56_11 = e2 & op(e1, e0) = e2
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2449) implies:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2450) all_56_11 = e2
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2451) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2451) gives:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2452) all_56_12 = e3 & op(e0, e3) = e3
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2452) implies:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2453) all_56_12 = e3
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2454) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2454) gives:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2455) all_56_0 = e0 & op(e3, e3) = e0
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2455) implies:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2456) op(e3, e3) = e0
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2392), (2456), (function-axioms) are
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1832.
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2457) all_56_2 = e0 & op(e2, e3) = e0
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2457) implies:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2458) all_56_2 = e0
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2459) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2459) gives:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2460) all_56_0 = e2 & op(e3, e3) = e2
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2460) implies:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2461) op(e3, e3) = e2
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2392), (2461), (function-axioms) are
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2462) all_56_2 = e2 & op(e2, e3) = e2
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2462) implies:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2463) all_56_2 = e2
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (215), (1680), (2434), (2438),
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2450), (2458), (2463), (function-axioms) are
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1177.
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2464) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2464) gives:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2465) all_56_6 = e2 & op(e1, e3) = e2
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2465) implies:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2466) all_56_6 = e2
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2438), (2466) are inconsistent by sub-proof
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1463.
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2467) all_56_12 = e2 & op(e0, e3) = e2
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2453), (2467) are inconsistent by sub-proof
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1656.
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2468) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (110),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (112), (113), (117), (118), (139), (145), (146),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (157), (159), (160), (163), (164), (165),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (190), (192), (193),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (198), (200), (201), (208), (209), (210),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (213), (214), (215), (218), (219),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (226), (233),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (239), (247), (249), (250), (260), (261),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (373), (378), (380), (1670), (1672),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673), (1674), (1679), (1680), (2386), (2387),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2388), (2389), (2390), (2392), (2405), (2406),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2407), (2408), (2412), (2414), (2417), (2422),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2423), (2424), (2425), (2428), (2429), (2468),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1176.
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2469) all_56_13 = e3 & op(e0, e2) = e3
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2469) implies:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2470) all_56_13 = e3
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2444), (2470) are inconsistent by sub-proof
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1732.
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2471) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (157), (380), (1674), (2471),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1188.
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | (2472) all_56_7 = e1 & op(e1, e2) = e1
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2472) implies:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | (2473) op(e1, e2) = e1
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2435), (2473), (function-axioms) are
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1719.
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | (2474) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2474) gives:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | (2475) all_56_8 = e1 & op(e1, e1) = e1
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2475) implies:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | (2476) op(e1, e1) = e1
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1680), (2476), (function-axioms) are
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1875.
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | (2477) all_56_11 = e1 & op(e1, e0) = e1
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2477) implies:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | (2478) all_56_11 = e1
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | (2479) op(e1, e0) = e1
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (2480) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (2388), (2425), (2480),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | #1340.
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (2481) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2481) gives:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2482) all_56_7 = e1 & op(e1, e2) = e1
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2482) implies:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2483) op(e1, e2) = e1
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2435), (2483), (function-axioms) are
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1719.
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484) all_56_13 = e1 & op(e0, e2) = e1
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2484) implies:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2485) all_56_13 = e1
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2486) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2486) gives:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2487) all_56_1 = e3 & op(e3, e2) = e3
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2487) implies:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2488) all_56_1 = e3
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2489) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2489) gives:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2490) all_56_6 = e2 & op(e1, e3) = e2
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2490) implies:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2491) all_56_6 = e2
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2492) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2492) gives:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2493) all_56_12 = e3 & op(e0, e3) = e3
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2493) implies:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2494) all_56_12 = e3
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2495) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (2392), (2488), (2495),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1624.
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2496) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2496) gives:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2497) all_56_4 = e2 & op(e3, e1) = e2
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2497) implies:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2498) all_56_4 = e2
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2428), (2498) imply:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2499) e2 = e0
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2499) implies:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2500) e2 = e0
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2491), (2500) imply:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2501) all_56_6 = e0
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (110),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (112), (113), (117), (118), (139), (145), (146),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (157), (160), (163), (164), (165), (167),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (190), (192), (193), (197),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (200), (201), (208), (209), (210), (211),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (218), (219), (220),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (226), (233), (235),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (247), (249), (250), (260), (261), (269),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (270), (373), (378), (380), (1670), (1672),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673), (1674), (1679), (1680), (2386), (2387),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2388), (2389), (2390), (2392), (2405), (2406),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2407), (2408), (2412), (2414), (2417), (2422),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2423), (2424), (2425), (2428), (2429), (2501),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1179.
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2502) all_56_9 = e2 & op(e3, e0) = e2
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2502) implies:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2503) all_56_9 = e2
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2504) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2504) gives:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2505) all_56_9 = e3 & op(e3, e0) = e3
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2505) implies:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2506) all_56_9 = e3
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2503), (2506) are inconsistent by sub-proof
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1809.
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2507) all_56_10 = e3 & op(e2, e0) = e3
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2507) implies:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2508) all_56_10 = e3
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2509) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2509) gives:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2510) all_56_0 = e0 & op(e3, e3) = e0
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2510) implies:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2511) op(e3, e3) = e0
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2392), (2511), (function-axioms) are
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1832.
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2512) all_56_2 = e0 & op(e2, e3) = e0
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2512) implies:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2513) all_56_2 = e0
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2514) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2514) gives:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2515) all_56_2 = e2 & op(e2, e3) = e2
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2515) implies:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2516) all_56_2 = e2
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2513), (2516) imply:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2517) e2 = e0
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2491), (2517) imply:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2518) all_56_6 = e0
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (163), (233), (235),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1670), (2392), (2513), (2518), (function-axioms)
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1175.
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2519) all_56_3 = e2 & op(e2, e2) = e2
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2519) implies:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2520) op(e2, e2) = e2
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2425), (2520), (function-axioms) are
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1835.
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2521) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2521) gives:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2522) all_56_5 = e2 & op(e2, e1) = e2
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2522) implies:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2523) op(e2, e1) = e2
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (222), (2425), (2508), (2513),
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2523), (function-axioms) are inconsistent by
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1581.
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2524) all_56_10 = e2 & op(e2, e0) = e2
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2524) implies:
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2525) all_56_10 = e2
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2508), (2525) imply:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2526) e3 = e2
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2526) implies:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2527) e3 = e2
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2494), (2527) imply:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2528) all_56_12 = e2
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (221), (222),
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (235), (1670), (2392), (2508), (2528),
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1186.
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2529) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (110),
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (112), (113), (117), (118), (139), (145), (146),
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (157), (159), (160), (163), (164), (165),
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (190), (192), (193),
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (198), (200), (201), (208), (209), (210),
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (213), (214), (215), (218), (219),
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (226), (233),
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (239), (247), (249), (250), (260), (261),
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (373), (378), (380), (1670), (1672),
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673), (1674), (1679), (1680), (2386), (2387),
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2388), (2389), (2390), (2392), (2405), (2406),
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2407), (2408), (2412), (2414), (2417), (2422),
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2423), (2424), (2425), (2428), (2429), (2529),
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1176.
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2530) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (213), (214),
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (380), (1679), (1680), (2530),
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1282.
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2531) all_56_13 = e3 & op(e0, e2) = e3
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2531) implies:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2532) all_56_13 = e3
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2485), (2532) are inconsistent by sub-proof
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1732.
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2533) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (157), (380), (1674), (2533),
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1188.
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2534) all_56_7 = e2 & op(e1, e2) = e2
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2534) implies:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2535) all_56_7 = e2
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2434), (2535) are inconsistent by sub-proof
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1734.
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2536) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (1680), (2479), (2536),
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1193.
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2537) all_56_3 = e3 & op(e2, e2) = e3
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2537) implies:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2538) op(e2, e2) = e3
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (2538), (function-axioms) are
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2539) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2539) gives:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2540) all_56_7 = e3 & op(e1, e2) = e3
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2540) implies:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2541) all_56_7 = e3
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (213), (215), (1680),
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2478), (2541), (function-axioms) are inconsistent
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1758.
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2542) all_56_13 = e3 & op(e0, e2) = e3
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2542) implies:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2543) all_56_13 = e3
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2485), (2543) are inconsistent by sub-proof
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1732.
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | (2544) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2544) gives:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | (2545) all_56_8 = e0 & op(e1, e1) = e0
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2545) implies:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | (2546) op(e1, e1) = e0
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | (2428), (2546), (function-axioms) are inconsistent
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1515.
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | (2547) all_56_11 = e0 & op(e1, e0) = e0
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2547) implies:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | (2548) all_56_11 = e0
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | (2549) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2549) gives:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2550) all_56_6 = e1 & op(e1, e3) = e1
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2550) implies:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2551) all_56_6 = e1
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (2552) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2552) gives:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2553) all_56_6 = e2 & op(e1, e3) = e2
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2553) implies:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2554) all_56_6 = e2
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2551), (2554) are inconsistent by sub-proof
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1463.
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2555) all_56_7 = e2 & op(e1, e2) = e2
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2555) implies:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2556) all_56_7 = e2
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2557) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2557) gives:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2558) all_56_9 = e1 & op(e3, e0) = e1
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2558) implies:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2559) op(e3, e0) = e1
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (2390), (2559), (function-axioms) are
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1848.
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2560) all_56_10 = e1 & op(e2, e0) = e1
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2560) implies:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2561) all_56_10 = e1
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2562) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2562) gives:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2563) all_56_9 = e3 & op(e3, e0) = e3
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2563) implies:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2564) all_56_9 = e3
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2565) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2565) gives:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2566) all_56_9 = e2 & op(e3, e0) = e2
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2564), (2566) are inconsistent by sub-proof
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1730.
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2567) all_56_10 = e2 & op(e2, e0) = e2
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2567) implies:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2568) all_56_10 = e2
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2561), (2568) imply:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2569) e2 = e1
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2569) implies:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2570) e2 = e1
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2556), (2570) imply:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2571) all_56_7 = e1
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (215), (216),
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680), (2551), (2571), (function-axioms) are
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1178.
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2572) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2572) gives:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2573) all_56_11 = e2 & op(e1, e0) = e2
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2573) implies:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2574) all_56_11 = e2
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (213), (215), (1680),
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2551), (2556), (2574), (function-axioms) are
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1174.
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2575) all_56_15 = e2 & op(e0, e0) = e2
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2575) implies:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2576) op(e0, e0) = e2
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2412), (2576), (function-axioms) are
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1842.
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2577) all_56_10 = e3 & op(e2, e0) = e3
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2577) implies:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2578) all_56_10 = e3
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2561), (2578) are inconsistent by sub-proof
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1812.
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2579) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2579) gives:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2580) all_56_11 = e3 & op(e1, e0) = e3
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2580) implies:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2581) all_56_11 = e3
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (213), (1680), (2551), (2556),
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2581), (function-axioms) are inconsistent by
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1292.
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2582) all_56_15 = e3 & op(e0, e0) = e3
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2582) implies:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2583) op(e0, e0) = e3
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (380), (2583), (function-axioms) are
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1874.
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2584) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2584) gives:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2585) all_56_11 = e1 & op(e1, e0) = e1
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2585) implies:
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2586) all_56_11 = e1
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2548), (2586) imply:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2587) e1 = e0
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2587) implies:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2588) e1 = e0
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2551), (2588) imply:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2589) all_56_6 = e0
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (110),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (112), (113), (117), (118), (139), (145), (146),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (157), (160), (163), (164), (165), (167),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (190), (192), (193), (197),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (200), (201), (208), (209), (210), (211),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (218), (219), (220),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (226), (233), (235),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (247), (249), (250), (260), (261), (269),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (270), (373), (378), (380), (1670), (1672),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673), (1674), (1679), (1680), (2386), (2387),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2388), (2389), (2390), (2392), (2405), (2406),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2407), (2408), (2412), (2414), (2417), (2422),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2423), (2424), (2425), (2428), (2429), (2589),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1179.
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2590) all_56_15 = e1 & op(e0, e0) = e1
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2590) implies:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2591) op(e0, e0) = e1
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (378), (2591), (function-axioms) are
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1865.
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (2592) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (1680), (2548), (2592),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | #1767.
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | (2593) all_56_7 = e1 & op(e1, e2) = e1
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2593) implies:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | (2594) all_56_7 = e1
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (2595) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2595) gives:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2596) all_56_6 = e2 & op(e1, e3) = e2
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2596) implies:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2597) all_56_6 = e2
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2598) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2598) gives:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2599) all_56_9 = e1 & op(e3, e0) = e1
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2599) implies:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2600) op(e3, e0) = e1
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (2390), (2600), (function-axioms) are
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1848.
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2601) all_56_10 = e1 & op(e2, e0) = e1
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2601) implies:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2602) all_56_10 = e1
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2603) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2603) gives:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2604) all_56_9 = e3 & op(e3, e0) = e3
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2604) implies:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2605) all_56_9 = e3
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2606) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2606) gives:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2607) all_56_9 = e2 & op(e3, e0) = e2
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2605), (2607) are inconsistent by sub-proof
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1730.
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2608) all_56_10 = e2 & op(e2, e0) = e2
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (215), (216),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680), (2594), (2597), (2602), (2608),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1173.
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2609) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2609) gives:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2610) all_56_11 = e2 & op(e1, e0) = e2
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2610) implies:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2611) all_56_11 = e2
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2548), (2611) imply:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2612) e2 = e0
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2612) implies:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2613) e2 = e0
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2597), (2613) imply:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2614) all_56_6 = e0
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (110),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (112), (113), (117), (118), (139), (145), (146),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (157), (160), (163), (164), (165), (167),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (190), (192), (193), (197),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (200), (201), (208), (209), (210), (211),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (218), (219), (220),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (226), (233), (235),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (247), (249), (250), (260), (261), (269),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (270), (373), (378), (380), (1670), (1672),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673), (1674), (1679), (1680), (2386), (2387),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2388), (2389), (2390), (2392), (2405), (2406),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2407), (2408), (2412), (2414), (2417), (2422),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2423), (2424), (2425), (2428), (2429), (2614),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1179.
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2615) all_56_15 = e2 & op(e0, e0) = e2
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2615) implies:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2616) op(e0, e0) = e2
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2412), (2616), (function-axioms) are
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1842.
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2617) all_56_10 = e3 & op(e2, e0) = e3
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2617) implies:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2618) all_56_10 = e3
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2602), (2618) are inconsistent by sub-proof
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1812.
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2619) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (51), (213), (215),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (380), (1680), (2594), (2619), (function-axioms)
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1189.
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2620) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (51), (378), (2548), (2620),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1172.
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2621) all_56_7 = e2 & op(e1, e2) = e2
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2621) implies:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2622) all_56_7 = e2
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2594), (2622) are inconsistent by sub-proof
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1382.
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (2623) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (1680), (2548), (2623),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | | #1767.
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | (2624) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (1680), (2548), (2624),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | | #1229.
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | (2625) all_56_5 = e0 & op(e2, e1) = e0
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2625) implies:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | (2626) all_56_5 = e0
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | (2627) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2627) gives:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | (2628) all_56_4 = e1 & op(e3, e1) = e1
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2389), (2628), (function-axioms) are
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | (2629) all_56_5 = e1 & op(e2, e1) = e1
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2629) implies:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | (2630) all_56_5 = e1
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2626), (2630) are inconsistent by sub-proof
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | #1433.
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | (2631) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2631) gives:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | (2632) all_56_8 = e1 & op(e1, e1) = e1
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2632) implies:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | (2633) op(e1, e1) = e1
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1680), (2633), (function-axioms) are
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1875.
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | (2634) all_56_14 = e1 & op(e0, e1) = e1
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2634) implies:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | (2635) all_56_14 = e1
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (162),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | (163), (169), (170), (208), (210), (211), (212),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (218), (219), (222), (223),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | (226), (228), (230), (235), (236), (239), (373),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | (378), (380), (1670), (1671), (1672), (1679),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | (1680), (2388), (2392), (2414), (2425), (2626),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | (2635), (function-axioms) are inconsistent by
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1167.
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | (2636) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (1680), (2406), (2636),
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | | #1272.
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.85 | | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.85 | | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | | End of split
% 243.18/41.85 | | | | | | | | | | | | | | | | |
% 243.18/41.85 | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.85 | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | (2637) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 243.18/41.86 | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 243.18/41.86 | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 243.18/41.86 | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 243.18/41.86 | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 243.18/41.86 | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | ALPHA: (2637) implies:
% 243.18/41.86 | | | | | | | | | | | | | | | | | (2638) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 243.18/41.86 | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 243.18/41.86 | | | | | | | | | | | | | | | | | e1) = e0)
% 243.18/41.86 | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | BETA: splitting (2638) gives:
% 243.18/41.86 | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.86 | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | (2639) all_56_12 = e0 & op(e0, e3) = e0
% 243.18/41.86 | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | ALPHA: (2639) implies:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | (2640) op(e0, e3) = e0
% 243.18/41.86 | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2405), (2640), (function-axioms) are
% 243.18/41.86 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1830.
% 243.18/41.86 | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.86 | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | (2641) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 243.18/41.86 | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 243.18/41.86 | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | BETA: splitting (2641) gives:
% 243.18/41.86 | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | (2642) all_56_13 = e0 & op(e0, e2) = e0
% 243.18/41.86 | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | ALPHA: (2642) implies:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | (2643) all_56_13 = e0
% 243.18/41.86 | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | (2644) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2644) gives:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | (2645) all_56_12 = e1 & op(e0, e3) = e1
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2645) implies:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | (2646) op(e0, e3) = e1
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2387), (2646), (function-axioms) are
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1849.
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | (2647) all_56_13 = e1 & op(e0, e2) = e1
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2647) implies:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | (2648) all_56_13 = e1
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2643), (2648) are inconsistent by sub-proof
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | #1672.
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | (2649) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2649) gives:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | (2650) all_56_14 = e1 & op(e0, e1) = e1
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2650) implies:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | (2651) all_56_14 = e1
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | (2652) op(e0, e1) = e1
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | (2653) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2653) gives:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | (2654) all_56_12 = e2 & op(e0, e3) = e2
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2654) implies:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | (2655) all_56_12 = e2
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | (2656) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2656) gives:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | | (2657) all_56_12 = e3 & op(e0, e3) = e3
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2655), (2657) are inconsistent by sub-proof
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | | #1187.
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | | (2658) all_56_13 = e3 & op(e0, e2) = e3
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2658) implies:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | | (2659) all_56_13 = e3
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (2638), (2652), (2655), (2659),
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | | #1166.
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | (2660) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (157), (380), (1674), (2660),
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | | #1188.
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | (2661) all_56_13 = e2 & op(e0, e2) = e2
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2661) implies:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | (2662) all_56_13 = e2
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2643), (2662) are inconsistent by sub-proof
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | #1165.
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | (2663) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2663) gives:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | (2664) all_56_14 = e2 & op(e0, e1) = e2
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2664) implies:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | (2665) all_56_14 = e2
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2651), (2665) are inconsistent by sub-proof
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | #1635.
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | (2666) all_56_15 = e2 & op(e0, e0) = e2
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2666) implies:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | (2667) op(e0, e0) = e2
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2412), (2667), (function-axioms) are
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1842.
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | (2668) all_56_15 = e1 & op(e0, e0) = e1
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2668) implies:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | (2669) op(e0, e0) = e1
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (378), (2669), (function-axioms) are
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1865.
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.86 | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | (2670) all_56_14 = e0 & op(e0, e1) = e0
% 243.18/41.86 | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | ALPHA: (2670) implies:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | (2671) op(e0, e1) = e0
% 243.18/41.86 | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (2406), (2671), (function-axioms) are
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1826.
% 243.18/41.86 | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.86 | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | End of split
% 243.18/41.86 | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | End of split
% 243.18/41.86 | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | End of split
% 243.18/41.86 | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | End of split
% 243.18/41.86 | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | End of split
% 243.18/41.86 | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | Case 2:
% 243.18/41.86 | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | (2672) all_28_2 = e2
% 243.18/41.86 | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | COMBINE_EQS: (330), (2672) imply:
% 243.18/41.86 | | | | | | | | | | | | | (2673) all_14_2 = e2
% 243.18/41.86 | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | SIMP: (2673) implies:
% 243.18/41.86 | | | | | | | | | | | | | (2674) all_14_2 = e2
% 243.18/41.86 | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | REDUCE: (362), (2674) imply:
% 243.18/41.86 | | | | | | | | | | | | | (2675) ~ (all_52_7 = e2)
% 243.18/41.86 | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | REDUCE: (369), (2674) imply:
% 243.18/41.86 | | | | | | | | | | | | | (2676) ~ (all_52_11 = e2)
% 243.18/41.86 | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | REDUCE: (370), (2674) imply:
% 243.18/41.86 | | | | | | | | | | | | | (2677) ~ (all_52_12 = e2)
% 243.18/41.86 | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | REDUCE: (371), (2674) imply:
% 243.18/41.86 | | | | | | | | | | | | | (2678) ~ (all_52_13 = e2)
% 243.18/41.86 | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | REDUCE: (372), (2674) imply:
% 243.18/41.86 | | | | | | | | | | | | | (2679) ~ (all_52_14 = e2)
% 243.18/41.86 | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | REDUCE: (380), (2674) imply:
% 243.18/41.86 | | | | | | | | | | | | | (2680) ~ (e3 = e2)
% 243.18/41.86 | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | REDUCE: (51), (2674) imply:
% 243.18/41.86 | | | | | | | | | | | | | (2681) op(e0, e0) = e2
% 243.18/41.86 | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | BETA: splitting (211) gives:
% 243.18/41.86 | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | Case 1:
% 243.18/41.86 | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | (2682) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 243.18/41.86 | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 243.18/41.86 | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | BETA: splitting (2682) gives:
% 243.18/41.86 | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | Case 1:
% 243.18/41.86 | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | (2683) all_56_9 = e2 & op(e3, e0) = e2
% 243.18/41.86 | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | ALPHA: (2683) implies:
% 243.18/41.86 | | | | | | | | | | | | | | | (2684) all_56_9 = e2
% 243.18/41.86 | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 243.18/41.86 | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | Case 1:
% 243.18/41.86 | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | (2685) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 243.18/41.86 | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 243.18/41.86 | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (206), (210),
% 243.18/41.86 | | | | | | | | | | | | | | | | (2390), (2681), (2684), (2685), (function-axioms)
% 243.18/41.86 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1800.
% 243.18/41.86 | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | Case 2:
% 243.18/41.86 | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | (2686) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 243.18/41.86 | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 243.18/41.86 | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (213), (214),
% 243.18/41.86 | | | | | | | | | | | | | | | | (215), (380), (1679), (1680), (2686),
% 243.18/41.86 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.86 | | | | | | | | | | | | | | | | #1282.
% 243.18/41.86 | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | End of split
% 243.18/41.86 | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | Case 2:
% 243.18/41.86 | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | (2687) all_56_10 = e2 & op(e2, e0) = e2
% 243.18/41.86 | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | ALPHA: (2687) implies:
% 243.18/41.86 | | | | | | | | | | | | | | | (2688) op(e2, e0) = e2
% 243.18/41.86 | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | REF_CLOSE: (164), (2678), (2688), (function-axioms) are
% 243.18/41.86 | | | | | | | | | | | | | | | inconsistent by sub-proof #1493.
% 243.18/41.86 | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | End of split
% 243.18/41.86 | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | Case 2:
% 243.18/41.86 | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | (2689) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 243.18/41.86 | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 243.18/41.86 | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | BETA: splitting (2689) gives:
% 243.18/41.86 | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | Case 1:
% 243.18/41.86 | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | (2690) all_56_11 = e2 & op(e1, e0) = e2
% 243.18/41.86 | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | ALPHA: (2690) implies:
% 243.18/41.86 | | | | | | | | | | | | | | | (2691) all_56_11 = e2
% 243.18/41.86 | | | | | | | | | | | | | | | (2692) op(e1, e0) = e2
% 243.18/41.86 | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (157),
% 243.18/41.86 | | | | | | | | | | | | | | | (163), (165), (168), (170), (206), (207), (209),
% 243.18/41.86 | | | | | | | | | | | | | | | (210), (213), (214), (215), (216), (224), (226),
% 243.18/41.86 | | | | | | | | | | | | | | | (228), (230), (232), (233), (234), (235), (373),
% 243.18/41.86 | | | | | | | | | | | | | | | (380), (1670), (1673), (1674), (1680), (1682),
% 243.18/41.86 | | | | | | | | | | | | | | | (2388), (2390), (2392), (2681), (2691), (2692),
% 243.18/41.86 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.86 | | | | | | | | | | | | | | | #1157.
% 243.18/41.86 | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | Case 2:
% 243.18/41.86 | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | (2693) all_56_15 = e2 & op(e0, e0) = e2
% 243.18/41.86 | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | ALPHA: (2693) implies:
% 243.18/41.86 | | | | | | | | | | | | | | | (2694) all_56_15 = e2
% 243.18/41.86 | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 243.18/41.86 | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | Case 1:
% 243.18/41.86 | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | (2695) ~ (all_30_2 = e3)
% 243.18/41.86 | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | REDUCE: (1669), (2695) imply:
% 243.18/41.86 | | | | | | | | | | | | | | | | (2696) $false
% 243.18/41.86 | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | CLOSE: (2696) is inconsistent.
% 243.18/41.86 | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | Case 2:
% 243.18/41.86 | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | (2697) ( ~ (all_30_0 = e0) & op(all_30_1, all_30_1) =
% 243.18/41.86 | | | | | | | | | | | | | | | | all_30_0 & op(e3, e1) = all_30_1 & $i(all_30_0)
% 243.18/41.86 | | | | | | | | | | | | | | | | & $i(all_30_1)) | ( ~ (all_30_1 = e2) & op(e3,
% 243.18/41.86 | | | | | | | | | | | | | | | | e1) = all_30_1 & $i(all_30_1))
% 243.18/41.86 | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 243.18/41.86 | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.86 | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | (2698) ~ (all_32_2 = e0)
% 243.18/41.86 | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | REDUCE: (314), (2698) imply:
% 243.18/41.86 | | | | | | | | | | | | | | | | | (2699) ~ (all_4_2 = e0)
% 243.18/41.86 | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 243.18/41.86 | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.86 | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | (2700) all_54_5 = e3
% 243.18/41.86 | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (2700) imply:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | (2701) all_4_2 = e3
% 243.18/41.86 | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | REDUCE: (373), (2701) imply:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | (2702) $false
% 243.18/41.86 | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | CLOSE: (2702) is inconsistent.
% 243.18/41.86 | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.86 | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | (2703) ~ (all_54_5 = e3)
% 243.18/41.86 | | | | | | | | | | | | | | | | | | (2704) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 243.18/41.86 | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | BETA: splitting (2704) gives:
% 243.18/41.86 | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | (2705) all_54_5 = e2
% 243.18/41.86 | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (2705) imply:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | (2706) all_4_2 = e2
% 243.18/41.86 | | | | | | | | | | | | | | | | | | |
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | REDUCE: (349), (2706) imply:
% 243.18/41.86 | | | | | | | | | | | | | | | | | | | (2707) ~ (all_52_1 = e2)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | REDUCE: (358), (2706) imply:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | (2708) ~ (all_52_9 = e2)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | REDUCE: (36), (2706) imply:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | (2709) op(e2, e2) = e2
% 243.18/41.87 | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | (2710) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2710) gives:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | (2711) all_56_6 = e2 & op(e1, e3) = e2
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2711) implies:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | (2712) all_56_6 = e2
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | (2713) op(e1, e3) = e2
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | (2714) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2714) gives:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | (2715) all_56_4 = e2 & op(e3, e1) = e2
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2715) implies:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | (2716) op(e3, e1) = e2
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e2,
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (2713) gives:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | (2717) all_52_2 = e2
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e2,
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (2716) gives:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | (2718) all_52_8 = e2
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (2717) imply:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | (2719) ~ (all_52_3 = e2)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2719) implies:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | (2720) ~ (all_52_3 = e2)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (2717) imply:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | (2721) ~ (all_52_6 = e2)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2721) implies:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | (2722) ~ (all_52_6 = e2)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (2718) imply:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | (2723) ~ (all_52_4 = e2)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (2718) imply:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | (2724) ~ (all_52_9 = e2)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (2718) imply:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | (2725) ~ (all_52_11 = e2)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | (2726) ~ (all_42_2 = e1)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2385), (2726) imply:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | (2727) $false
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2727) is inconsistent.
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | (2728) ( ~ (all_42_0 = e0) & op(all_42_1, all_42_1) =
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | all_42_0 & op(e1, e3) = all_42_1 & $i(all_42_0)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_42_1)) | ( ~ (all_42_1 = e2) & op(e1,
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_42_1 & $i(all_42_1))
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2697) gives:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2729) ~ (all_30_0 = e0) & op(all_30_1, all_30_1) =
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | all_30_0 & op(e3, e1) = all_30_1 & $i(all_30_0) &
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2729) implies:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2730) op(e3, e1) = all_30_1
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2731) op(all_30_1, all_30_1) = all_30_0
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2728) gives:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (2732) ~ (all_42_0 = e0) & op(all_42_1, all_42_1) =
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0 & op(e1, e3) = all_42_1 & $i(all_42_0) &
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2732) implies:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (2733) op(e1, e3) = all_42_1
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (2734) op(all_42_1, all_42_1) = all_42_0
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2383) gives:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2735) ~ (all_26_0 = e2) & op(all_26_1, all_26_1) =
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_0 & op(e1, e3) = all_26_1 & $i(all_26_0) &
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2735) implies:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2736) ~ (all_26_0 = e2)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2737) op(e1, e3) = all_26_1
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2738) op(all_26_1, all_26_1) = all_26_0
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1666) gives:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2739) ~ (all_20_0 = e2) & op(all_20_1, all_20_1) =
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_0 & op(e3, e1) = all_20_1 & $i(all_20_0) &
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2739) implies:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2740) op(e3, e1) = all_20_1
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2709), (2713), (2716), (2730), (2731), (2733),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2734), (2736), (2737), (2738), (2740),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1156.
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2741) ~ (all_20_1 = e0) & op(e3, e1) = all_20_1 &
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2741) implies:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2742) op(e3, e1) = all_20_1
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2709), (2713), (2716), (2730), (2731), (2733),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2734), (2736), (2737), (2738), (2742),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1156.
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2743) ~ (all_26_1 = e0) & op(e1, e3) = all_26_1 &
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2743) implies:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2744) ~ (all_26_1 = e0)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2745) op(e1, e3) = all_26_1
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (9), (36), (51), (117), (118),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (125), (128), (135), (136), (139), (140), (146),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (157), (159), (162), (163), (164), (165),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (190), (191), (192),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (198), (200), (203), (206), (207), (208),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (212), (213), (214), (215), (217),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (226), (228), (229),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (233), (235), (239), (247), (248), (249),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (261), (269), (272), (373), (380), (1666),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1670), (1671), (1672), (1673), (1674), (1679),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680), (1682), (2386), (2387), (2388), (2390),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2392), (2675), (2676), (2681), (2707), (2708),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2709), (2712), (2716), (2720), (2722), (2723),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2730), (2731), (2744), (2745), (function-axioms)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1141.
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (2746) ~ (all_42_1 = e2) & op(e1, e3) = all_42_1 &
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2746) implies:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (2747) ~ (all_42_1 = e2)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (2748) op(e1, e3) = all_42_1
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2383) gives:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2749) ~ (all_26_0 = e2) & op(all_26_1, all_26_1) =
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_0 & op(e1, e3) = all_26_1 & $i(all_26_0) &
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2749) implies:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2750) op(e1, e3) = all_26_1
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2713), (2747), (2748), (2750), (function-axioms)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1754.
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2751) ~ (all_26_1 = e0) & op(e1, e3) = all_26_1 &
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2751) implies:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2752) ~ (all_26_1 = e0)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2753) op(e1, e3) = all_26_1
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (9), (36), (51), (117), (118),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (125), (128), (135), (136), (139), (140), (146),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (157), (159), (162), (163), (164), (165),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (190), (191), (192),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (198), (200), (203), (206), (207), (208),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (212), (213), (214), (215), (217),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (226), (228), (229),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (233), (235), (239), (247), (248), (249),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (261), (269), (272), (373), (380), (1666),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1670), (1671), (1672), (1673), (1674), (1679),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680), (1682), (2386), (2387), (2388), (2390),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2392), (2675), (2676), (2681), (2707), (2708),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2709), (2712), (2716), (2720), (2722), (2723),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2730), (2731), (2752), (2753), (function-axioms)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1141.
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2754) ~ (all_30_1 = e2) & op(e3, e1) = all_30_1 &
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2754) implies:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2755) ~ (all_30_1 = e2)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2756) op(e3, e1) = all_30_1
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2716), (2755), (2756), (function-axioms) are
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1248.
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | (2757) all_56_5 = e2 & op(e2, e1) = e2
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2757) implies:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | (2758) op(e2, e1) = e2
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2708), (2758), (function-axioms) are
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1838.
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | (2759) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2759) gives:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | (2760) all_56_8 = e2 & op(e1, e1) = e2
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2760) implies:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | (2761) op(e1, e1) = e2
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1680), (2761), (function-axioms) are
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | (2762) all_56_14 = e2 & op(e0, e1) = e2
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2762) implies:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | (2763) all_56_14 = e2
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (51), (157), (159),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (209), (380), (1674), (2387),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | (2681), (2763), (function-axioms) are inconsistent
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1140.
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | (2764) all_56_7 = e2 & op(e1, e2) = e2
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2764) implies:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | (2765) all_56_7 = e2
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (157), (167),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | (206), (207), (209), (213), (214), (215), (216),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | (233), (380), (1674), (1680), (2392), (2681),
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | (2707), (2765), (function-axioms) are inconsistent
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | by sub-proof #1139.
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | (2766) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2766) gives:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | | (2767) all_56_8 = e2 & op(e1, e1) = e2
% 243.18/41.87 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2767) implies:
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | | (2768) op(e1, e1) = e2
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1680), (2768), (function-axioms) are
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | | (2769) all_56_11 = e2 & op(e1, e0) = e2
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2769) implies:
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | | (2770) all_56_11 = e2
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | | (2771) op(e1, e0) = e2
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (157),
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | | (163), (165), (168), (170), (206), (207), (209),
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | | (210), (213), (214), (215), (216), (224), (226),
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | | (228), (230), (232), (233), (234), (235), (373),
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | | (380), (1670), (1673), (1674), (1680), (1682),
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | | (2388), (2390), (2392), (2681), (2770), (2771),
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | | #1157.
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.88 | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.88 | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | (2772) all_54_5 = e1 | all_54_5 = e0
% 243.18/41.88 | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (1682), (2699), (2772) are inconsistent by
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | sub-proof #1845.
% 243.18/41.88 | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.88 | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | End of split
% 243.18/41.88 | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.88 | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | (2773) all_32_2 = e0
% 243.18/41.88 | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (2773) imply:
% 243.18/41.88 | | | | | | | | | | | | | | | | | (2774) all_4_2 = e0
% 243.18/41.88 | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | SIMP: (2774) implies:
% 243.18/41.88 | | | | | | | | | | | | | | | | | (2775) all_4_2 = e0
% 243.18/41.88 | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | REDUCE: (356), (2775) imply:
% 243.18/41.88 | | | | | | | | | | | | | | | | | (2776) ~ (all_52_7 = e0)
% 243.18/41.88 | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | REDUCE: (373), (2775) imply:
% 243.18/41.88 | | | | | | | | | | | | | | | | | (2777) ~ (e3 = e0)
% 243.18/41.88 | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | REDUCE: (1682), (2775) imply:
% 243.18/41.88 | | | | | | | | | | | | | | | | | (2778) ~ (e1 = e0)
% 243.18/41.88 | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | REDUCE: (36), (2775) imply:
% 243.18/41.88 | | | | | | | | | | | | | | | | | (2779) op(e2, e2) = e0
% 243.18/41.88 | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 243.18/41.88 | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.88 | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | (2780) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 243.18/41.88 | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 243.18/41.88 | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 243.18/41.88 | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 243.18/41.88 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 243.18/41.88 | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 243.18/41.88 | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 243.18/41.88 | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 243.18/41.88 | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 243.18/41.88 | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 243.18/41.88 | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 243.18/41.88 | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 243.18/41.88 | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 243.18/41.88 | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 243.18/41.88 | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 243.18/41.88 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 243.18/41.88 | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 243.18/41.88 | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 243.18/41.88 | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | BETA: splitting (2780) gives:
% 243.18/41.88 | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.88 | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | (2781) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | ((all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | $i(all_57_16))) & ((all_57_30 = e3 & op(e1,
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | e1) = e3) | ( ~ (all_57_17 = e1) & op(e1,
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | e3) = all_57_17 & $i(all_57_17))) &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | $i(all_57_18)))
% 243.18/41.88 | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | ALPHA: (2781) implies:
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | (2782) op(e3, e1) = all_57_22
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | (2783) op(e3, e3) = all_57_26
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | (2784) op(e3, all_57_26) = e3
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | (2785) (all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | $i(all_57_16))
% 243.18/41.88 | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (169), (373), (1672), (2392), (2782),
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | (2783), (2784), (2785), (function-axioms) are
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1597.
% 243.18/41.88 | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.88 | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | (2786) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | ((all_57_26 = e2 & op(e3, e3) = e2) | ( ~
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & op(e3, e2) = all_57_19 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | $i(all_57_19))) & ((all_57_30 = e2 & op(e1,
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_20 = e1) & op(e1,
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | e2) = all_57_20 & $i(all_57_20))) &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | ((all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | $i(all_57_21)))
% 243.18/41.88 | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (164), (2392), (2678), (2779), (2786),
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | #1329.
% 243.18/41.88 | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.88 | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.88 | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | (2787) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 243.18/41.88 | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 243.18/41.88 | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 243.18/41.88 | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 243.18/41.88 | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 243.18/41.88 | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 243.18/41.88 | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 243.18/41.88 | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 243.18/41.88 | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 243.18/41.88 | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 243.18/41.88 | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 243.18/41.88 | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 243.18/41.88 | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 243.18/41.88 | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 243.18/41.88 | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 243.18/41.88 | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 243.18/41.88 | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 243.18/41.88 | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 243.18/41.88 | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | BETA: splitting (2787) gives:
% 243.18/41.88 | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.88 | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | (2788) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 243.18/41.88 | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | ALPHA: (2788) implies:
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | (2789) op(e1, e1) = all_57_30
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | (2790) op(e1, e2) = all_57_20
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | (2791) op(e1, e3) = all_57_17
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | (2792) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | $i(all_57_24))
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | (2793) (all_57_28 = e1 & op(e2, e2) = e1) | ( ~
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & op(e2, e1) = all_57_23 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 243.18/41.88 | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | BETA: splitting (2793) gives:
% 243.18/41.88 | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | (2794) all_57_28 = e1 & op(e2, e2) = e1
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | ALPHA: (2794) implies:
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | (2795) op(e2, e2) = e1
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2779), (2795), (function-axioms) are
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1795.
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | (2796) ~ (all_57_23 = e2) & op(e2, e1) = all_57_23 &
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | ALPHA: (2796) implies:
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | (2797) op(e2, e1) = all_57_23
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2792) gives:
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | | (2798) all_57_31 = e1 & op(e0, e0) = e1
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2798) implies:
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | | (2799) op(e0, e0) = e1
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2681), (2799), (function-axioms) are
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.88 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | (2800) ~ (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2800) implies:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | (2801) ~ (all_57_24 = e0)
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | (2802) op(e0, e1) = all_57_24
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | all_57_24, e1, e0, simplifying with (157), (2802)
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | gives:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | (2803) all_57_24 = all_52_11
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (1680), (2789)
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | gives:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | (2804) all_57_30 = e3
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | all_57_20, e2, e1, simplifying with (162), (2790)
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | gives:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | (2805) all_57_20 = all_52_6
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | all_57_17, e3, e1, simplifying with (163), (2791)
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | gives:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | (2806) all_57_17 = all_52_2
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | all_57_23, e1, e2, simplifying with (165), (2797)
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | gives:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | (2807) all_57_23 = all_52_9
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2801), (2803) imply:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | (2808) ~ (all_52_11 = e0)
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | (2809) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2809) gives:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | (2810) all_56_4 = e0 & op(e3, e1) = e0
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2810) implies:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | (2811) all_56_4 = e0
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | (2812) all_54_14 = e3
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (1674), (2812) are inconsistent by
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1138.
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | (2813) ~ (all_54_14 = e3)
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | (2814) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | (2815) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2815) gives:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2816) all_56_1 = e3 & op(e3, e2) = e3
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2816) implies:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2817) op(e3, e2) = e3
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (125), (135), (170), (191), (247), (248), (2675),
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2676), (2776), (2808), (2814), (2817),
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | #1137.
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2818) all_56_3 = e3 & op(e2, e2) = e3
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2818) implies:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2819) op(e2, e2) = e3
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (2819), (function-axioms) are
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | (2820) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2820) gives:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2821) all_56_7 = e3 & op(e1, e2) = e3
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2821) implies:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2822) op(e1, e2) = e3
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1671), (2822), (function-axioms) are
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1702.
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2823) all_56_13 = e3 & op(e0, e2) = e3
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2823) implies:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2824) all_56_13 = e3
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2814) gives:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2825) all_54_14 = e2
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (2676), (2825) are inconsistent by
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1788.
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2826) ~ (all_54_14 = e2)
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2827) all_54_14 = e1 | all_54_14 = e0
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2827) gives:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2828) all_54_14 = e1
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (2828) imply:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2829) all_52_11 = e1
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2829) implies:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2830) all_52_11 = e1
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (2830) imply:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2831) ~ (all_52_7 = e1)
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1674), (2830) imply:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2832) ~ (e3 = e1)
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2833) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (2387), (2831), (2833),
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1377.
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2834) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2834) gives:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2835) all_56_14 = e1 & op(e0, e1) = e1
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2835) implies:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2836) all_56_14 = e1
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2837) op(e0, e1) = e1
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2838) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (2388), (2779), (2838),
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1340.
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2839) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2839) gives:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2840) all_56_7 = e1 & op(e1, e2) = e1
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2840) implies:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2841) all_56_7 = e1
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2842) op(e1, e2) = e1
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2843) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2843) gives:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2844) all_56_6 = e2 & op(e1, e3) = e2
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2844) implies:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2845) all_56_6 = e2
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.18/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2846) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2846) gives:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2847) all_56_6 = e0 & op(e1, e3) = e0
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2847) implies:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2848) all_56_6 = e0
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2845), (2848) are inconsistent by sub-proof
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1764.
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2849) all_56_7 = e0 & op(e1, e2) = e0
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2849) implies:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2850) op(e1, e2) = e0
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2842), (2850), (function-axioms) are
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1719.
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2851) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2851) gives:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2852) all_56_8 = e0 & op(e1, e1) = e0
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2852) implies:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2853) op(e1, e1) = e0
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (2811),
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2836), (2853), (function-axioms) are inconsistent
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1516.
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2854) all_56_11 = e0 & op(e1, e0) = e0
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2854) implies:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2855) all_56_11 = e0
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (206), (208),
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (223), (235), (1680), (2392), (2678),
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2779), (2793), (2824), (2836), (2837), (2841),
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2855), (function-axioms) are inconsistent by
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1134.
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2856) all_56_7 = e2 & op(e1, e2) = e2
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2841), (2856) are inconsistent by sub-proof
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1388.
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2857) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (157),
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (206), (207), (209), (210), (213), (224),
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (373), (380), (1673), (1674), (1680),
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2392), (2681), (2842), (2857), (function-axioms)
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1133.
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2858) all_56_13 = e1 & op(e0, e2) = e1
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2858) implies:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2859) op(e0, e2) = e1
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (2831), (2859), (function-axioms) are
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1378.
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2860) all_56_15 = e1 & op(e0, e0) = e1
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2860) implies:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2861) op(e0, e0) = e1
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2681), (2861), (function-axioms) are
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2862) all_54_14 = e0
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (2808), (2862) are inconsistent by
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1786.
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | (2863) all_56_5 = e0 & op(e2, e1) = e0
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2863) implies:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | (2864) all_56_5 = e0
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | (2865) all_54_14 = e3
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (1674), (2865) are inconsistent by
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1138.
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | (2866) ~ (all_54_14 = e3)
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | (2867) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | (2868) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2868) gives:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2869) all_56_1 = e3 & op(e3, e2) = e3
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2869) implies:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2870) op(e3, e2) = e3
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (125), (135), (170), (191), (247), (248), (2675),
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2676), (2776), (2808), (2867), (2870),
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | #1137.
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2871) all_56_3 = e3 & op(e2, e2) = e3
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2871) implies:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2872) op(e2, e2) = e3
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (2872), (function-axioms) are
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | (2873) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.89 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2873) gives:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (2874) all_56_7 = e3 & op(e1, e2) = e3
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2874) implies:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (2875) op(e1, e2) = e3
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1671), (2875), (function-axioms) are
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1702.
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (2876) all_56_13 = e3 & op(e0, e2) = e3
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2876) implies:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (2877) all_56_13 = e3
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2867) gives:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2878) all_54_14 = e2
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (2676), (2878) are inconsistent by
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1788.
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2879) ~ (all_54_14 = e2)
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2880) all_54_14 = e1 | all_54_14 = e0
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2880) gives:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2881) all_54_14 = e1
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (2881) imply:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2882) all_52_11 = e1
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2882) implies:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2883) all_52_11 = e1
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (2883) imply:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2884) ~ (all_52_7 = e1)
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1674), (2883) imply:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2885) ~ (e3 = e1)
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2886) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (2387), (2884), (2886),
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1377.
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2887) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2887) gives:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2888) all_56_14 = e1 & op(e0, e1) = e1
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2888) implies:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2889) all_56_14 = e1
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2890) op(e0, e1) = e1
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2891) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (2388), (2779), (2891),
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1340.
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2892) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2892) gives:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2893) all_56_7 = e1 & op(e1, e2) = e1
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2893) implies:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2894) all_56_7 = e1
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2895) op(e1, e2) = e1
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2896) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2896) gives:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2897) all_56_6 = e2 & op(e1, e3) = e2
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2897) implies:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2898) all_56_6 = e2
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2899) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2899) gives:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2900) all_56_6 = e0 & op(e1, e3) = e0
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2900) implies:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2901) all_56_6 = e0
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2898), (2901) imply:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2902) e2 = e0
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2902) implies:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2903) e2 = e0
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2694), (2903) imply:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2904) all_56_15 = e0
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (162),
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (169), (170), (208), (210), (211), (212),
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (218), (219), (222), (223),
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (228), (230), (235), (236), (239), (373),
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (378), (380), (1670), (1671), (1672), (1679),
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680), (2388), (2392), (2779), (2864), (2889),
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2904), (function-axioms) are inconsistent by
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1167.
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2905) all_56_7 = e0 & op(e1, e2) = e0
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2905) implies:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2906) op(e1, e2) = e0
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2895), (2906), (function-axioms) are
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1719.
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2907) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2907) gives:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2908) all_56_8 = e0 & op(e1, e1) = e0
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2908) implies:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2909) op(e1, e1) = e0
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1680), (2909), (function-axioms) are
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1771.
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2910) all_56_11 = e0 & op(e1, e0) = e0
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2910) implies:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2911) all_56_11 = e0
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (206), (208),
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (223), (235), (1680), (2392), (2678),
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2779), (2793), (2877), (2889), (2890), (2894),
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2911), (function-axioms) are inconsistent by
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1134.
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2912) all_56_7 = e2 & op(e1, e2) = e2
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2894), (2912) are inconsistent by sub-proof
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1388.
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2913) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (157),
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (206), (207), (209), (210), (213), (224),
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (373), (380), (1673), (1674), (1680),
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2392), (2681), (2895), (2913), (function-axioms)
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1133.
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2914) all_56_13 = e1 & op(e0, e2) = e1
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2914) implies:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2915) op(e0, e2) = e1
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (2884), (2915), (function-axioms) are
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1378.
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2916) all_56_15 = e1 & op(e0, e0) = e1
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2916) implies:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2917) op(e0, e0) = e1
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2681), (2917), (function-axioms) are
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2918) all_54_14 = e0
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (2808), (2918) are inconsistent by
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1786.
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | (2919) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1680), (2801), (2802), (2919),
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | | #1132.
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.90 | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | (2920) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 243.49/41.90 | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | ALPHA: (2920) implies:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | (2921) (all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | (2922) (all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | $i(all_57_25))
% 243.49/41.90 | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | BETA: splitting (2922) gives:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | (2923) all_57_26 = e0 & op(e3, e3) = e0
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | ALPHA: (2923) implies:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | (2924) op(e3, e3) = e0
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2392), (2924), (function-axioms) are
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1832.
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | (2925) ~ (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | $i(all_57_25)
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | ALPHA: (2925) implies:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | (2926) ~ (all_57_25 = e3)
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | (2927) op(e3, e0) = all_57_25
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2921) gives:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | (2928) all_57_30 = e0 & op(e1, e1) = e0
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2928) implies:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | (2929) op(e1, e1) = e0
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1680), (2929), (function-axioms) are
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1771.
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | (2930) ~ (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2930) implies:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | (2931) ~ (all_57_29 = e1)
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | (2932) op(e1, e0) = all_57_29
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | all_57_29, e0, e1, simplifying with (160), (2932)
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | gives:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | (2933) all_57_29 = all_52_14
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | all_57_25, e0, e3, simplifying with (168), (2927)
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | gives:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | (2934) all_57_25 = all_52_12
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2926), (2934) imply:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | (2935) ~ (all_52_12 = e3)
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2931), (2933) imply:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | (2936) ~ (all_52_14 = e1)
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.90 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | (2937) all_54_11 = e3
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (1675), (2937) are inconsistent by
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1184.
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | (2938) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | (2939) all_54_3 = e3
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (2935), (2939) are inconsistent by
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1725.
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | (2940) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (250), (270), (2390), (2677), (2679),
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | (2936), (2938), (2940) are inconsistent by
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1703.
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.91 | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.91 | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | End of split
% 243.49/41.91 | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | End of split
% 243.49/41.91 | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | End of split
% 243.49/41.91 | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | End of split
% 243.49/41.91 | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | End of split
% 243.49/41.91 | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | End of split
% 243.49/41.91 | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | End of split
% 243.49/41.91 | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | Case 2:
% 243.49/41.91 | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | (2941) all_24_2 = e1
% 243.49/41.91 | | | | | | | | | | | (2942) ( ~ (all_24_0 = e0) & op(all_24_1, all_24_1) =
% 243.49/41.91 | | | | | | | | | | | all_24_0 & op(e1, e2) = all_24_1 & $i(all_24_0)
% 243.49/41.91 | | | | | | | | | | | & $i(all_24_1)) | ( ~ (all_24_1 = e3) & op(e1,
% 243.49/41.91 | | | | | | | | | | | e2) = all_24_1 & $i(all_24_1))
% 243.49/41.91 | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | COMBINE_EQS: (318), (2941) imply:
% 243.49/41.91 | | | | | | | | | | | (2943) all_4_2 = e1
% 243.49/41.91 | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | COMBINE_EQS: (292), (2943) imply:
% 243.49/41.91 | | | | | | | | | | | (2944) all_44_2 = e1
% 243.49/41.91 | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | REDUCE: (352), (2943) imply:
% 243.49/41.91 | | | | | | | | | | | (2945) ~ (all_52_4 = e1)
% 243.49/41.91 | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | REDUCE: (354), (2943) imply:
% 243.49/41.91 | | | | | | | | | | | (2946) ~ (all_52_6 = e1)
% 243.49/41.91 | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | REDUCE: (356), (2943) imply:
% 243.49/41.91 | | | | | | | | | | | (2947) ~ (all_52_7 = e1)
% 243.49/41.91 | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | REDUCE: (358), (2943) imply:
% 243.49/41.91 | | | | | | | | | | | (2948) ~ (all_52_9 = e1)
% 243.49/41.91 | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | REDUCE: (360), (2943) imply:
% 243.49/41.91 | | | | | | | | | | | (2949) ~ (all_52_13 = e1)
% 243.49/41.91 | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | BETA: splitting (226) gives:
% 243.49/41.91 | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | Case 1:
% 243.49/41.91 | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | (2950) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 243.49/41.91 | | | | | | | | | | | | & op(e2, e2) = e1)
% 243.49/41.91 | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | BETA: splitting (2950) gives:
% 243.49/41.91 | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | Case 1:
% 243.49/41.91 | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | (2951) all_56_1 = e1 & op(e3, e2) = e1
% 243.49/41.91 | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | ALPHA: (2951) implies:
% 243.49/41.91 | | | | | | | | | | | | | (2952) op(e3, e2) = e1
% 243.49/41.91 | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | REF_CLOSE: (170), (2945), (2952), (function-axioms) are
% 243.49/41.91 | | | | | | | | | | | | | inconsistent by sub-proof #1616.
% 243.49/41.91 | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | Case 2:
% 243.49/41.91 | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | (2953) all_56_3 = e1 & op(e2, e2) = e1
% 243.49/41.91 | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | ALPHA: (2953) implies:
% 243.49/41.91 | | | | | | | | | | | | | (2954) all_56_3 = e1
% 243.49/41.91 | | | | | | | | | | | | | (2955) op(e2, e2) = e1
% 243.49/41.91 | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | BETA: splitting (70) gives:
% 243.49/41.91 | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | Case 1:
% 243.49/41.91 | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | (2956) ~ (all_26_2 = e1)
% 243.49/41.91 | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | REDUCE: (307), (2956) imply:
% 243.49/41.91 | | | | | | | | | | | | | | (2957) ~ (all_6_2 = e1)
% 243.49/41.91 | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 243.49/41.91 | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | Case 1:
% 243.49/41.91 | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | (2958) all_54_0 = e3
% 243.49/41.91 | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | COMBINE_EQS: (279), (2958) imply:
% 243.49/41.91 | | | | | | | | | | | | | | | (2959) all_6_2 = e3
% 243.49/41.91 | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | SIMP: (2959) implies:
% 243.49/41.91 | | | | | | | | | | | | | | | (2960) all_6_2 = e3
% 243.49/41.91 | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | REDUCE: (344), (2960) imply:
% 243.49/41.91 | | | | | | | | | | | | | | | (2961) ~ (all_52_4 = e3)
% 243.49/41.91 | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | REDUCE: (348), (2960) imply:
% 243.49/41.91 | | | | | | | | | | | | | | | (2962) ~ (all_52_12 = e3)
% 243.49/41.91 | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | REDUCE: (39), (2960) imply:
% 243.49/41.91 | | | | | | | | | | | | | | | (2963) op(e3, e3) = e3
% 243.49/41.91 | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 243.49/41.91 | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | Case 1:
% 243.49/41.91 | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | (2964) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 243.49/41.91 | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 243.49/41.91 | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (2955), (2961), (2964),
% 243.49/41.91 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.49/41.91 | | | | | | | | | | | | | | | | #1131.
% 243.49/41.91 | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | Case 2:
% 243.49/41.91 | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | (2965) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 243.49/41.91 | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 243.49/41.91 | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | BETA: splitting (2965) gives:
% 243.49/41.91 | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.91 | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | (2966) all_56_7 = e3 & op(e1, e2) = e3
% 243.49/41.91 | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | ALPHA: (2966) implies:
% 243.49/41.91 | | | | | | | | | | | | | | | | | (2967) all_56_7 = e3
% 243.49/41.91 | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 243.49/41.91 | | | | | | | | | | | | | | | | | (215), (1680), (2946), (2967), (function-axioms)
% 243.49/41.91 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1757.
% 243.49/41.91 | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.91 | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | (2968) all_56_13 = e3 & op(e0, e2) = e3
% 243.49/41.91 | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | ALPHA: (2968) implies:
% 243.49/41.91 | | | | | | | | | | | | | | | | | (2969) all_56_13 = e3
% 243.49/41.91 | | | | | | | | | | | | | | | | | (2970) op(e0, e2) = e3
% 243.49/41.91 | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 243.49/41.91 | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.91 | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | (2971) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 243.49/41.91 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 243.49/41.91 | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | BETA: splitting (2971) gives:
% 243.49/41.91 | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | (2972) all_56_2 = e3 & op(e2, e3) = e3
% 243.49/41.91 | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | ALPHA: (2972) implies:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | (2973) all_56_2 = e3
% 243.49/41.91 | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (168), (212),
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | (213), (214), (215), (221), (223), (380), (1679),
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | (1680), (2954), (2955), (2962), (2973),
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | #1284.
% 243.49/41.91 | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | (2974) all_56_3 = e3 & op(e2, e2) = e3
% 243.49/41.91 | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | ALPHA: (2974) implies:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | (2975) op(e2, e2) = e3
% 243.49/41.91 | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2955), (2975), (function-axioms) are
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 243.49/41.91 | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.91 | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.91 | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | (2976) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 243.49/41.91 | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 243.49/41.91 | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | BETA: splitting (2976) gives:
% 243.49/41.91 | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | (2977) all_56_5 = e3 & op(e2, e1) = e3
% 243.49/41.91 | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | ALPHA: (2977) implies:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | (2978) op(e2, e1) = e3
% 243.49/41.91 | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1673), (2978), (function-axioms) are
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1405.
% 243.49/41.91 | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | (2979) all_56_10 = e3 & op(e2, e0) = e3
% 243.49/41.91 | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | ALPHA: (2979) implies:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | (2980) all_56_10 = e3
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | (2981) op(e2, e0) = e3
% 243.49/41.91 | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e3,
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (2970) gives:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | (2982) all_52_7 = e3
% 243.49/41.91 | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | e3, e0, e2, simplifying with (164), (2981) gives:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | (2983) all_52_13 = e3
% 243.49/41.91 | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | REDUCE: (110), (2983) imply:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | (2984) ~ (all_52_14 = e3)
% 243.49/41.91 | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | REDUCE: (371), (2983) imply:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | (2985) ~ (all_14_2 = e3)
% 243.49/41.91 | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | (2986) ~ (all_28_2 = e2)
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (330), (2986) imply:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | (2987) ~ (all_14_2 = e2)
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | (2988) all_54_15 = e3
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (380), (2988) are inconsistent by sub-proof
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | #1489.
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | (2989) ~ (all_54_15 = e3)
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | (2990) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2990) gives:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | (2991) all_54_15 = e2
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (2987), (2991) are inconsistent by
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1488.
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | (2992) all_54_15 = e1 | all_54_15 = e0
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2992) gives:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | (2993) all_54_15 = e1
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (378), (2993) are inconsistent by sub-proof
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | #1487.
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | (2994) all_54_15 = e0
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (2994) imply:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | (2995) all_14_2 = e0
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2995) implies:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | (2996) all_14_2 = e0
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (2996) imply:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | (2997) ~ (all_52_3 = e0)
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (2996) imply:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | (2998) ~ (all_52_11 = e0)
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (2996) imply:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | (2999) ~ (e3 = e0)
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (2996) imply:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | (3000) ~ (e1 = e0)
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | (3001) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3001) gives:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | (3002) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3002) gives:
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (3003) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3003) gives:
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3004) all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_17) & $i(all_57_28)
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3004) implies:
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3005) all_57_30 = e3
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3006) all_57_16 = e2
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3007) ~ (all_57_28 = e3)
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3008) ~ (all_57_17 = e1)
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3009) op(e1, e3) = all_57_17
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3010) op(e2, e2) = all_57_28
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (36), (160), (162), (214), (239), (373),
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680), (2946), (2955), (3005), (3006), (3007),
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3008), (3009), (3010), (function-axioms) are
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1127.
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3011) all_57_16 = e2 & all_57_31 = e3 & ~ (all_57_18 =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e0, e3) = all_57_18 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_28)
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3011) implies:
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3012) op(e0, e0) = e3
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (380), (3012), (function-axioms) are
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1874.
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (3013) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (380), (2955), (3013),
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | #1541.
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | (3014) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3014) gives:
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (3015) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (2961), (3015), (function-axioms) are
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (3016) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (169), (1672), (2946), (3016),
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | | #1540.
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | (3017) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3017) gives:
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | (3018) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3018) gives:
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (3019) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (378), (2963), (3019),
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | #1863.
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (3020) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (168), (378), (2962), (3020),
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | #1860.
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | (3021) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3021) gives:
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (3022) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2963), (3022), (function-axioms) are
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (3023) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3023) gives:
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3024) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3024) implies:
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3025) op(e1, e1) = e0
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1680), (3025), (function-axioms) are
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1771.
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3026) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3026) gives:
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3027) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3027) implies:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3028) op(e2, e2) = e0
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2955), (3028), (function-axioms) are
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1795.
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3029) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3029) implies:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3030) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (157), (159), (1680), (2955), (2963),
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2997), (2998), (3030), (function-axioms) are
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1278.
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | (3031) all_28_2 = e2
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (3031) imply:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | (3032) all_14_2 = e2
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | SIMP: (3032) implies:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | (3033) all_14_2 = e2
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (3033) imply:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | (3034) ~ (all_52_12 = e2)
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (3033) imply:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | (3035) ~ (e3 = e2)
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (3033) imply:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | (3036) op(e0, e0) = e2
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | (3037) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3037) gives:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | (3038) all_56_12 = e2 & op(e0, e3) = e2
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3038) implies:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | (3039) all_56_12 = e2
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (97), (112),
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | (117), (118), (120), (133), (146), (157), (158),
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | (160), (162), (164), (165), (167), (168), (169),
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | (170), (206), (207), (210), (211), (213), (214),
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | (215), (217), (219), (221), (223), (225), (227),
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | (228), (230), (231), (232), (234), (236), (238),
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | (239), (373), (1666), (1672), (1673), (1675),
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | (1680), (2942), (2944), (2945), (2946), (2947),
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | (2949), (2954), (2955), (2963), (2969), (2980),
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | (3036), (3039), (function-axioms) are inconsistent
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1107.
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | (3040) all_56_13 = e2 & op(e0, e2) = e2
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2969), (3040) are inconsistent by sub-proof
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | #1569.
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | (3041) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3041) gives:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | (3042) all_56_14 = e2 & op(e0, e1) = e2
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3042) implies:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | (3043) all_56_14 = e2
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | (3044) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3044) gives:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | (3045) all_56_12 = e1 & op(e0, e3) = e1
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3045) implies:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | (3046) op(e0, e3) = e1
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | (3047) all_56_15 = e0 & op(e0, e0) = e0
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3047) implies:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | (3048) op(e0, e0) = e0
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (3049) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3049) gives:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3050) all_56_9 = e2 & op(e3, e0) = e2
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3050) implies:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3051) all_56_9 = e2
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3052) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (164), (2949), (3051), (3052),
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1126.
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3053) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3053) gives:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3054) all_56_11 = e1 & op(e1, e0) = e1
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3054) implies:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3055) all_56_11 = e1
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3056) op(e1, e0) = e1
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3057) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (2945), (2963), (3057),
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1106.
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3058) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3058) gives:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3059) all_56_4 = e1 & op(e3, e1) = e1
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3059) implies:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3060) all_56_4 = e1
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3061) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3061) gives:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3062) all_56_2 = e2 & op(e2, e3) = e2
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3062) implies:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3063) all_56_2 = e2
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3064) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (2963), (3063), (3064),
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1224.
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3065) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3065) gives:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3066) all_56_6 = e0 & op(e1, e3) = e0
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3066) implies:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3067) all_56_6 = e0
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3068) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3068) gives:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3069) all_56_6 = e2 & op(e1, e3) = e2
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3069) implies:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3070) all_56_6 = e2
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3067), (3070) are inconsistent by sub-proof
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1764.
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3071) all_56_7 = e2 & op(e1, e2) = e2
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3071) implies:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3072) all_56_7 = e2
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3073) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3073) gives:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3074) all_56_0 = e0 & op(e3, e3) = e0
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3074) implies:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3075) op(e3, e3) = e0
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2963), (3075), (function-axioms) are
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1859.
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3076) all_56_1 = e0 & op(e3, e2) = e0
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3076) implies:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3077) all_56_1 = e0
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3078) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3078) gives:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e0,
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3036), (3048) gives:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3079) e2 = e0
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3051), (3079) imply:
% 243.49/41.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3080) all_56_9 = e0
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (2963), (3060), (3077),
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3080), (function-axioms) are inconsistent by
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1352.
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3081) all_56_7 = e0 & op(e1, e2) = e0
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (2963), (3051), (3060),
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3072), (3077), (3081), (function-axioms) are
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1116.
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3082) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (1680), (3055), (3082),
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1214.
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3083) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (3051), (3060), (3083) are inconsistent
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1114.
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3084) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3084) gives:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3085) all_56_8 = e2 & op(e1, e1) = e2
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3085) implies:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3086) op(e1, e1) = e2
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1680), (3086), (function-axioms) are
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3087) all_56_11 = e2 & op(e1, e0) = e2
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3087) implies:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3088) all_56_11 = e2
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3055), (3088) imply:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3089) e2 = e1
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3089) implies:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3090) e2 = e1
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3043), (3090) imply:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3091) all_56_14 = e1
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (210),
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (219), (227), (230), (1680),
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2946), (2949), (2954), (2963), (2969), (3036),
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3048), (3088), (3091), (function-axioms) are
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1108.
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3092) all_56_12 = e0 & op(e0, e3) = e0
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3092) implies:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3093) op(e0, e3) = e0
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3046), (3093), (function-axioms) are
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1636.
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3094) all_56_3 = e2 & op(e2, e2) = e2
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2954), (3094) are inconsistent by sub-proof
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1295.
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3095) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3095) gives:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3096) all_56_5 = e2 & op(e2, e1) = e2
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3096) implies:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3097) all_56_5 = e2
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3098) op(e2, e1) = e2
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3099) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3099) gives:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3100) all_56_2 = e0 & op(e2, e3) = e0
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3100) implies:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3101) all_56_2 = e0
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3102) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (2963), (3101), (3102),
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1260.
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3103) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3103) gives:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3104) all_56_6 = e2 & op(e1, e3) = e2
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3104) implies:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3105) all_56_6 = e2
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3106) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3106) gives:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3107) all_56_0 = e0 & op(e3, e3) = e0
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3107) implies:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3108) op(e3, e3) = e0
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2963), (3108), (function-axioms) are
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1859.
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3109) all_56_1 = e0 & op(e3, e2) = e0
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3109) implies:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3110) all_56_1 = e0
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3111) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3111) gives:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3112) all_56_6 = e0 & op(e1, e3) = e0
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3112) implies:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3113) all_56_6 = e0
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3105), (3113) imply:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3114) e2 = e0
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (2963), (3051), (3060),
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3110), (3114), (function-axioms) are inconsistent
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1105.
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3115) all_56_7 = e0 & op(e1, e2) = e0
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3115) implies:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3116) all_56_7 = e0
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3117) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3117) gives:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3118) all_56_1 = e2 & op(e3, e2) = e2
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3118) implies:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3119) all_56_1 = e2
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (158),
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (168), (169), (170), (214), (221),
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (231), (238), (239), (373), (380), (1672),
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680), (2946), (2947), (2955), (2961), (2962),
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2963), (2980), (3036), (3056), (3097), (3098),
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3105), (3116), (3119), (function-axioms) are
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1102.
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3120) all_56_3 = e2 & op(e2, e2) = e2
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3120) implies:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3121) all_56_3 = e2
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2954), (3121) imply:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3122) e2 = e1
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3122) implies:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3123) e2 = e1
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3105), (3123) imply:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3124) all_56_6 = e1
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (213), (215), (230),
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (1680), (2963), (3051), (3055), (3060),
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3124), (function-axioms) are inconsistent by
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1113.
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3125) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3125) gives:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3126) all_56_7 = e2 & op(e1, e2) = e2
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3126) implies:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3127) all_56_7 = e2
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3116), (3127) imply:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3128) e2 = e0
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (2963), (3051), (3060),
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3110), (3128), (function-axioms) are inconsistent
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1105.
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3129) all_56_13 = e2 & op(e0, e2) = e2
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3129) implies:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3130) all_56_13 = e2
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2969), (3130) are inconsistent by sub-proof
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1266.
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3131) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (1680), (3055), (3131),
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1214.
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3132) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3132) gives:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3133) all_56_4 = e0 & op(e3, e1) = e0
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3060), (3133) are inconsistent by sub-proof
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1115.
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3134) all_56_9 = e0 & op(e3, e0) = e0
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3051), (3134) are inconsistent by sub-proof
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1811.
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3135) all_56_12 = e2 & op(e0, e3) = e2
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3135) implies:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3136) all_56_12 = e2
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (97), (112),
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (117), (118), (120), (133), (146), (157), (158),
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (164), (165), (167), (168), (169),
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (206), (207), (210), (211), (213), (214),
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (217), (219), (221), (223), (225), (227),
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (231), (232), (234), (236), (238),
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (373), (1666), (1672), (1673), (1675),
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680), (2942), (2944), (2945), (2946), (2947),
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2949), (2954), (2955), (2963), (2969), (2980),
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3036), (3136), (function-axioms) are inconsistent
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1107.
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3137) all_56_3 = e0 & op(e2, e2) = e0
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3137) implies:
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3138) op(e2, e2) = e0
% 243.49/41.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2955), (3138), (function-axioms) are
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1795.
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3139) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3139) gives:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3140) all_56_5 = e0 & op(e2, e1) = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3097), (3140) are inconsistent by sub-proof
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1210.
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3141) all_56_10 = e0 & op(e2, e0) = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2980), (3141) are inconsistent by sub-proof
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1806.
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3142) all_56_10 = e2 & op(e2, e0) = e2
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2980), (3142) are inconsistent by sub-proof
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1743.
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3143) all_56_9 = e1 & op(e3, e0) = e1
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3051), (3143) are inconsistent by sub-proof
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1253.
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3144) all_56_15 = e1 & op(e0, e0) = e1
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3144) implies:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3145) op(e0, e0) = e1
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3036), (3145), (function-axioms) are
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3146) all_56_10 = e2 & op(e2, e0) = e2
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2980), (3146) are inconsistent by sub-proof
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1743.
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (3147) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3147) gives:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3148) all_56_11 = e2 & op(e1, e0) = e2
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3148) implies:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3149) all_56_11 = e2
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3150) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3150) gives:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3151) all_56_9 = e1 & op(e3, e0) = e1
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3151) implies:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3152) all_56_9 = e1
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3153) op(e3, e0) = e1
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3154) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3154) gives:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3155) all_56_6 = e1 & op(e1, e3) = e1
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3155) implies:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3156) all_56_6 = e1
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3157) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3157) gives:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3158) all_56_6 = e0 & op(e1, e3) = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3156), (3158) are inconsistent by sub-proof
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1773.
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3159) all_56_7 = e0 & op(e1, e2) = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3159) implies:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3160) all_56_7 = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3161) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3161) gives:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3162) all_56_4 = e1 & op(e3, e1) = e1
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3162) implies:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3163) all_56_4 = e1
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3164) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3164) gives:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3165) all_56_4 = e0 & op(e3, e1) = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3163), (3165) are inconsistent by sub-proof
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1115.
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3166) all_56_5 = e0 & op(e2, e1) = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3166) implies:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3167) all_56_5 = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3168) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3168) gives:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3169) all_56_2 = e2 & op(e2, e3) = e2
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3169) implies:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3170) all_56_2 = e2
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3171) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3171) gives:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3172) all_56_0 = e0 & op(e3, e3) = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3172) implies:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3173) op(e3, e3) = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2963), (3173), (function-axioms) are
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1859.
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3174) all_56_2 = e0 & op(e2, e3) = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3174) implies:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3175) all_56_2 = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (215), (1680), (3149), (3156),
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3160), (3170), (3175), (function-axioms) are
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1177.
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3176) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3176) gives:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3177) all_56_6 = e0 & op(e1, e3) = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3177) implies:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3178) all_56_6 = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3156), (3178) are inconsistent by sub-proof
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1427.
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3179) all_56_12 = e0 & op(e0, e3) = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3179) implies:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3180) op(e0, e3) = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3046), (3180), (function-axioms) are
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1636.
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3181) all_56_3 = e2 & op(e2, e2) = e2
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3181) implies:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3182) all_56_3 = e2
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2954), (3182) imply:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3183) e2 = e1
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3183) implies:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3184) e2 = e1
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3043), (3184) imply:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3185) all_56_14 = e1
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (213), (215), (219),
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (230), (1680), (2954), (2963), (2969),
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3036), (3048), (3149), (3152), (3156), (3160),
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3185), (function-axioms) are inconsistent by
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1111.
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3186) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3186) gives:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3187) all_56_5 = e2 & op(e2, e1) = e2
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3187) implies:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3188) all_56_5 = e2
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3167), (3188) imply:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3189) e2 = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3189) implies:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3190) e2 = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3149), (3190) imply:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3191) all_56_11 = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (215), (1680), (3156), (3160),
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3191), (function-axioms) are inconsistent by
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1251.
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3192) all_56_10 = e2 & op(e2, e0) = e2
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2980), (3192) are inconsistent by sub-proof
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1743.
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3193) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3193) gives:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3194) all_56_8 = e0 & op(e1, e1) = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3194) implies:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3195) op(e1, e1) = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1680), (3195), (function-axioms) are
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1771.
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3196) all_56_14 = e0 & op(e0, e1) = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3196) implies:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3197) all_56_14 = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3043), (3197) imply:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3198) e2 = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3149), (3198) imply:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3199) all_56_11 = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (215), (1680), (3156), (3160),
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3199), (function-axioms) are inconsistent by
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1251.
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3200) all_56_5 = e1 & op(e2, e1) = e1
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3200) implies:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3201) op(e2, e1) = e1
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2948), (3201), (function-axioms) are
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1383.
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3202) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3202) gives:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3203) all_56_8 = e1 & op(e1, e1) = e1
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3203) implies:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3204) op(e1, e1) = e1
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1680), (3204), (function-axioms) are
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1875.
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3205) all_56_14 = e1 & op(e0, e1) = e1
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3205) implies:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3206) all_56_14 = e1
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (213), (215), (219),
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (230), (1680), (2954), (2963), (2969),
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3036), (3048), (3149), (3152), (3156), (3160),
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3206), (function-axioms) are inconsistent by
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1111.
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3207) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3207) gives:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3208) all_56_8 = e0 & op(e1, e1) = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3208) implies:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3209) op(e1, e1) = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1680), (3209), (function-axioms) are
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1771.
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3210) all_56_11 = e0 & op(e1, e0) = e0
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3210) implies:
% 243.49/41.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3211) all_56_11 = e0
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3212) op(e1, e0) = e0
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (97),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (112), (117), (118), (120), (133), (146), (157),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (164), (165), (167),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (206), (207), (210), (211),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (217), (219), (221),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (225), (226), (227), (228), (229),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (236), (238),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (373), (380), (1666), (1672), (1673),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675), (1680), (2942), (2944), (2945), (2946),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2947), (2949), (2954), (2955), (2961), (2962),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2963), (2969), (2980), (3034), (3036), (3152),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3153), (3211), (3212), (function-axioms) are
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1095.
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3213) all_56_7 = e1 & op(e1, e2) = e1
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3213) implies:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3214) op(e1, e2) = e1
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2946), (3214), (function-axioms) are
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1868.
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3215) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3215) gives:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3216) all_56_8 = e1 & op(e1, e1) = e1
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3216) implies:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3217) op(e1, e1) = e1
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1680), (3217), (function-axioms) are
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1875.
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3218) all_56_11 = e1 & op(e1, e0) = e1
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3218) implies:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3219) all_56_11 = e1
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3149), (3219) imply:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3220) e2 = e1
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3043), (3220) imply:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3221) all_56_14 = e1
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (219), (227), (230), (1680), (2946),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2954), (2963), (2969), (3036), (3048), (3149),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3152), (3221), (function-axioms) are inconsistent
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1110.
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3222) all_56_10 = e1 & op(e2, e0) = e1
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3222) implies:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3223) op(e2, e0) = e1
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (2949), (3223), (function-axioms) are
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1534.
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3224) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3224) gives:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3225) all_56_11 = e1 & op(e1, e0) = e1
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3225) implies:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3226) all_56_11 = e1
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3149), (3226) imply:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3227) e2 = e1
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3043), (3227) imply:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3228) all_56_14 = e1
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (210),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (219), (227), (230), (1680),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2946), (2949), (2954), (2963), (2969), (3036),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3048), (3149), (3228), (function-axioms) are
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1108.
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3229) all_56_15 = e1 & op(e0, e0) = e1
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3229) implies:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3230) op(e0, e0) = e1
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3036), (3230), (function-axioms) are
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3231) all_56_15 = e2 & op(e0, e0) = e2
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (97),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (112), (117), (118), (120), (133), (146), (157),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (164), (165), (167),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (206), (207), (210), (211),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (217), (219), (221),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (225), (226), (227), (228), (229),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (236), (238),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (373), (380), (1666), (1672), (1673),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675), (1680), (2942), (2944), (2945), (2946),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2947), (2949), (2954), (2955), (2961), (2962),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2963), (2969), (2980), (3034), (3231),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1091.
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | (3232) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3232) implies:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | (3233) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | (3234) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (3235) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3235) gives:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3236) all_56_9 = e2 & op(e3, e0) = e2
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3236) implies:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3237) all_56_9 = e2
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3238) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (97),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (112), (117), (118), (120), (133), (146), (157),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (164), (165), (167),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (206), (207), (210), (211),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (217), (219), (221),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (225), (226), (227), (228), (229),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (236), (238),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (373), (380), (1666), (1672), (1673),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675), (1680), (2942), (2944), (2945), (2946),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2947), (2949), (2954), (2955), (2961), (2962),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2963), (2969), (2980), (3034), (3036), (3234),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3238), (function-axioms) are inconsistent by
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1090.
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3239) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3239) gives:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3240) all_56_11 = e1 & op(e1, e0) = e1
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3240) implies:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3241) all_56_11 = e1
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3242) op(e1, e0) = e1
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3243) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (2945), (2963), (3243),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1106.
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3244) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3244) gives:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3245) all_56_4 = e1 & op(e3, e1) = e1
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3245) implies:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3246) all_56_4 = e1
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3247) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3247) gives:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3248) all_56_0 = e0 & op(e3, e3) = e0
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3248) implies:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3249) op(e3, e3) = e0
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2963), (3249), (function-axioms) are
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1859.
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3250) all_56_1 = e0 & op(e3, e2) = e0
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3250) implies:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3251) all_56_1 = e0
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3233) gives:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3252) all_56_12 = e0 & op(e0, e3) = e0
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3252) implies:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3253) op(e0, e3) = e0
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3046), (3253), (function-axioms) are
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1636.
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3254) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3254) gives:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3255) all_56_13 = e0 & op(e0, e2) = e0
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2969), (3255) are inconsistent by sub-proof
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1680.
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3256) all_56_14 = e0 & op(e0, e1) = e0
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3256) implies:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3257) all_56_14 = e0
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3043), (3257) imply:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3258) e2 = e0
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3237), (3258) imply:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3259) all_56_9 = e0
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (2963), (3246), (3251),
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3259), (function-axioms) are inconsistent by
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1352.
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3260) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3260) gives:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3261) all_56_4 = e0 & op(e3, e1) = e0
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3246), (3261) are inconsistent by sub-proof
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1115.
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3262) all_56_9 = e0 & op(e3, e0) = e0
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3262) implies:
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3263) all_56_9 = e0
% 243.49/41.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (158),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (168), (169), (170), (207), (214),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (219), (221), (225), (226), (231), (234),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (373), (380), (1672), (1680),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2946), (2947), (2955), (2961), (2962), (2963),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2969), (2980), (3036), (3233), (3241), (3242),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3246), (3263), (function-axioms) are inconsistent
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1092.
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3264) all_56_9 = e1 & op(e3, e0) = e1
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3264) implies:
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3265) all_56_9 = e1
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3266) op(e3, e0) = e1
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (97),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (112), (117), (118), (120), (133), (146), (157),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (164), (165), (167),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (206), (207), (210), (211),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (217), (219), (221),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (225), (226), (227), (228), (229),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (236), (238),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (373), (380), (1666), (1672), (1673),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675), (1680), (2942), (2944), (2945), (2946),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2947), (2949), (2954), (2955), (2961), (2962),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2963), (2969), (2980), (3034), (3036), (3234),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3265), (3266), (function-axioms) are inconsistent
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1094.
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3267) all_56_15 = e1 & op(e0, e0) = e1
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3267) implies:
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3268) op(e0, e0) = e1
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3036), (3268), (function-axioms) are
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3269) all_56_10 = e2 & op(e2, e0) = e2
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2980), (3269) are inconsistent by sub-proof
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1743.
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (3270) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3270) gives:
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3271) all_56_11 = e2 & op(e1, e0) = e2
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3271) implies:
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3272) all_56_11 = e2
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3273) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (97),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (112), (117), (118), (120), (133), (146), (157),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (164), (165), (167),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (206), (207), (210), (211),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (217), (219), (221),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (225), (226), (227), (228), (229),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (236), (238),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (373), (380), (1666), (1672), (1673),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675), (1680), (2942), (2944), (2945), (2946),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2947), (2949), (2954), (2955), (2961), (2962),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2963), (2969), (2980), (3034), (3036), (3234),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3273), (function-axioms) are inconsistent by
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1090.
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3274) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3036), (3272), (3274), (function-axioms) are
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1109.
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3275) all_56_15 = e2 & op(e0, e0) = e2
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (97),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (112), (117), (118), (120), (133), (146), (157),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (164), (165), (167),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (206), (207), (210), (211),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (217), (219), (221),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (225), (226), (227), (228), (229),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (236), (238),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (373), (380), (1666), (1672), (1673),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675), (1680), (2942), (2944), (2945), (2946),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2947), (2949), (2954), (2955), (2961), (2962),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2963), (2969), (2980), (3034), (3275),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1091.
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | (3276) all_56_13 = e1 & op(e0, e2) = e1
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3276) implies:
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | (3277) op(e0, e2) = e1
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (2947), (3277), (function-axioms) are
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1378.
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | (3278) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3036), (3043), (3278), (function-axioms) are
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1634.
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | (3279) all_56_15 = e2 & op(e0, e0) = e2
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (97),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | (112), (117), (118), (120), (133), (146), (157),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (164), (165), (167),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (206), (207), (210), (211),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (217), (219), (221),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | (222), (223), (225), (226), (227), (228), (229),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (236), (238),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | (239), (373), (380), (1666), (1672), (1673),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | (1675), (1680), (2942), (2944), (2945), (2946),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | (2947), (2949), (2954), (2955), (2961), (2962),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | (2963), (2969), (2980), (3034), (3279),
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | | #1091.
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | | End of split
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | | End of split
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | | End of split
% 243.82/41.98 | | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | | End of split
% 243.82/41.98 | | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | | End of split
% 243.82/41.98 | | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | | End of split
% 243.82/41.98 | | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | End of split
% 243.82/41.98 | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | Case 2:
% 243.82/41.98 | | | | | | | | | | | | | | |
% 243.82/41.98 | | | | | | | | | | | | | | | (3280) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 243.82/41.98 | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (2957), (3280) are
% 243.85/41.98 | | | | | | | | | | | | | | | inconsistent by sub-proof #1850.
% 243.85/41.98 | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | End of split
% 243.85/41.98 | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | Case 2:
% 243.85/41.98 | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | (3281) all_26_2 = e1
% 243.85/41.98 | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | COMBINE_EQS: (307), (3281) imply:
% 243.85/41.98 | | | | | | | | | | | | | | (3282) all_6_2 = e1
% 243.85/41.98 | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | SIMP: (3282) implies:
% 243.85/41.98 | | | | | | | | | | | | | | (3283) all_6_2 = e1
% 243.85/41.98 | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | REDUCE: (342), (3283) imply:
% 243.85/41.98 | | | | | | | | | | | | | | (3284) ~ (all_52_3 = e1)
% 243.85/41.98 | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | REDUCE: (348), (3283) imply:
% 243.85/41.98 | | | | | | | | | | | | | | (3285) ~ (all_52_12 = e1)
% 243.85/41.98 | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | REDUCE: (377), (3283) imply:
% 243.85/41.98 | | | | | | | | | | | | | | (3286) ~ (e2 = e1)
% 243.85/41.98 | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | REDUCE: (39), (3283) imply:
% 243.85/41.98 | | | | | | | | | | | | | | (3287) op(e3, e3) = e1
% 243.85/41.98 | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 243.85/41.98 | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | Case 1:
% 243.85/41.98 | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | (3288) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 243.85/41.98 | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 243.85/41.98 | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (2947), (3284), (3288),
% 243.85/41.98 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.85/41.98 | | | | | | | | | | | | | | | #1377.
% 243.85/41.98 | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | Case 2:
% 243.85/41.98 | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | (3289) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 243.85/41.98 | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 243.85/41.98 | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | BETA: splitting (3289) gives:
% 243.85/41.98 | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | Case 1:
% 243.85/41.98 | | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | | (3290) all_56_14 = e1 & op(e0, e1) = e1
% 243.85/41.98 | | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | | ALPHA: (3290) implies:
% 243.85/41.98 | | | | | | | | | | | | | | | | (3291) all_56_14 = e1
% 243.85/41.98 | | | | | | | | | | | | | | | | (3292) op(e0, e1) = e1
% 243.85/41.98 | | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 243.85/41.98 | | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | | Case 1:
% 243.85/41.98 | | | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | | | (3293) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 243.85/41.98 | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 243.85/41.98 | | | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (2949), (3285), (3293),
% 243.85/41.98 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.85/41.98 | | | | | | | | | | | | | | | | | #1298.
% 243.85/41.98 | | | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | | Case 2:
% 243.85/41.98 | | | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | | | (3294) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 243.85/41.98 | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 243.85/41.98 | | | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | | | BETA: splitting (3294) gives:
% 243.85/41.98 | | | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | | | Case 1:
% 243.85/41.98 | | | | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | | | | (3295) all_56_11 = e1 & op(e1, e0) = e1
% 243.85/41.98 | | | | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | | | | ALPHA: (3295) implies:
% 243.85/41.98 | | | | | | | | | | | | | | | | | | (3296) all_56_11 = e1
% 243.85/41.98 | | | | | | | | | | | | | | | | | | (3297) op(e1, e0) = e1
% 243.85/41.98 | | | | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (36), (97), (112), (117),
% 243.85/41.98 | | | | | | | | | | | | | | | | | | (118), (120), (133), (146), (157), (160), (162),
% 243.85/41.98 | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (206),
% 243.85/41.98 | | | | | | | | | | | | | | | | | | (211), (213), (215), (217), (219), (223), (225),
% 243.85/41.98 | | | | | | | | | | | | | | | | | | (228), (234), (236), (238), (239), (373), (1666),
% 243.85/41.98 | | | | | | | | | | | | | | | | | | (1672), (1673), (1675), (1680), (2942), (2944),
% 243.85/41.98 | | | | | | | | | | | | | | | | | | (2954), (2955), (3287), (3291), (3292), (3296),
% 243.85/41.98 | | | | | | | | | | | | | | | | | | (3297), (function-axioms) are inconsistent by
% 243.85/41.98 | | | | | | | | | | | | | | | | | | sub-proof #1117.
% 243.85/41.98 | | | | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | | | Case 2:
% 243.85/41.98 | | | | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | | | | (3298) all_56_15 = e1 & op(e0, e0) = e1
% 243.85/41.98 | | | | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | | | | ALPHA: (3298) implies:
% 243.85/41.98 | | | | | | | | | | | | | | | | | | (3299) op(e0, e0) = e1
% 243.85/41.98 | | | | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (378), (3299), (function-axioms) are
% 243.85/41.98 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1865.
% 243.85/41.98 | | | | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | | | End of split
% 243.85/41.98 | | | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | | End of split
% 243.85/41.98 | | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | Case 2:
% 243.85/41.98 | | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | | (3300) all_56_15 = e1 & op(e0, e0) = e1
% 243.85/41.98 | | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | | ALPHA: (3300) implies:
% 243.85/41.98 | | | | | | | | | | | | | | | | (3301) op(e0, e0) = e1
% 243.85/41.98 | | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | | REF_CLOSE: (51), (378), (3301), (function-axioms) are
% 243.85/41.98 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1865.
% 243.85/41.98 | | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | | End of split
% 243.85/41.98 | | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | | End of split
% 243.85/41.98 | | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | | End of split
% 243.85/41.98 | | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | End of split
% 243.85/41.98 | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | Case 2:
% 243.85/41.98 | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | (3302) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 243.85/41.98 | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 243.85/41.98 | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | | REF_CLOSE: (158), (162), (2946), (2947), (3302),
% 243.85/41.98 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.85/41.98 | | | | | | | | | | | | #1089.
% 243.85/41.98 | | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | | End of split
% 243.85/41.98 | | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | End of split
% 243.85/41.98 | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | Case 2:
% 243.85/41.98 | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | (3303) all_56_11 = e3 & op(e1, e0) = e3
% 243.85/41.98 | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | ALPHA: (3303) implies:
% 243.85/41.98 | | | | | | | | | | (3304) all_56_11 = e3
% 243.85/41.98 | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (165), (169),
% 243.85/41.98 | | | | | | | | | | (213), (214), (215), (220), (1672), (1673),
% 243.85/41.98 | | | | | | | | | | (1674), (3304), (function-axioms) are inconsistent
% 243.85/41.98 | | | | | | | | | | by sub-proof #1087.
% 243.85/41.98 | | | | | | | | | |
% 243.85/41.98 | | | | | | | | | End of split
% 243.85/41.98 | | | | | | | | |
% 243.85/41.98 | | | | | | | | End of split
% 243.85/41.98 | | | | | | | |
% 243.85/41.98 | | | | | | | End of split
% 243.85/41.98 | | | | | | |
% 243.85/41.98 | | | | | | Case 2:
% 243.85/41.98 | | | | | | |
% 243.85/41.98 | | | | | | | (3305) all_18_2 = e3
% 243.85/41.99 | | | | | | | (3306) ( ~ (all_18_0 = e2) & op(all_18_1, all_18_1) = all_18_0
% 243.85/41.99 | | | | | | | & op(e3, e0) = all_18_1 & $i(all_18_0) & $i(all_18_1))
% 243.85/41.99 | | | | | | | | ( ~ (all_18_1 = e1) & op(e3, e0) = all_18_1 &
% 243.85/41.99 | | | | | | | $i(all_18_1))
% 243.85/41.99 | | | | | | |
% 243.85/41.99 | | | | | | | COMBINE_EQS: (301), (3305) imply:
% 243.85/41.99 | | | | | | | (3307) all_14_2 = e3
% 243.85/41.99 | | | | | | |
% 243.85/41.99 | | | | | | | COMBINE_EQS: (299), (3307) imply:
% 243.85/41.99 | | | | | | | (3308) all_48_2 = e3
% 243.85/41.99 | | | | | | |
% 243.85/41.99 | | | | | | | REDUCE: (351), (3307) imply:
% 243.85/41.99 | | | | | | | (3309) ~ (all_52_3 = e3)
% 243.85/41.99 | | | | | | |
% 243.85/41.99 | | | | | | | REDUCE: (362), (3307) imply:
% 243.85/41.99 | | | | | | | (3310) ~ (all_52_7 = e3)
% 243.85/41.99 | | | | | | |
% 243.85/41.99 | | | | | | | REDUCE: (369), (3307) imply:
% 243.85/41.99 | | | | | | | (3311) ~ (all_52_11 = e3)
% 243.85/41.99 | | | | | | |
% 243.85/41.99 | | | | | | | REDUCE: (370), (3307) imply:
% 243.85/41.99 | | | | | | | (3312) ~ (all_52_12 = e3)
% 243.85/41.99 | | | | | | |
% 243.85/41.99 | | | | | | | REDUCE: (371), (3307) imply:
% 243.85/41.99 | | | | | | | (3313) ~ (all_52_13 = e3)
% 243.85/41.99 | | | | | | |
% 243.85/41.99 | | | | | | | REDUCE: (372), (3307) imply:
% 243.85/41.99 | | | | | | | (3314) ~ (all_52_14 = e3)
% 243.85/41.99 | | | | | | |
% 243.85/41.99 | | | | | | | BETA: splitting (212) gives:
% 243.85/41.99 | | | | | | |
% 243.85/41.99 | | | | | | | Case 1:
% 243.85/41.99 | | | | | | | |
% 243.85/41.99 | | | | | | | | (3315) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 &
% 243.85/41.99 | | | | | | | | op(e2, e0) = e3)
% 243.85/41.99 | | | | | | | |
% 243.85/41.99 | | | | | | | | REF_CLOSE: (164), (168), (3312), (3313), (3315),
% 243.85/41.99 | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.85/41.99 | | | | | | | | #1085.
% 243.85/41.99 | | | | | | | |
% 243.85/41.99 | | | | | | | Case 2:
% 243.85/41.99 | | | | | | | |
% 243.85/41.99 | | | | | | | | (3316) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 &
% 243.85/41.99 | | | | | | | | op(e0, e0) = e3)
% 243.85/41.99 | | | | | | | |
% 243.85/41.99 | | | | | | | | BETA: splitting (3316) gives:
% 243.85/41.99 | | | | | | | |
% 243.85/41.99 | | | | | | | | Case 1:
% 243.85/41.99 | | | | | | | | |
% 243.85/41.99 | | | | | | | | | (3317) all_56_11 = e3 & op(e1, e0) = e3
% 243.85/41.99 | | | | | | | | |
% 243.85/41.99 | | | | | | | | | ALPHA: (3317) implies:
% 243.85/41.99 | | | | | | | | | (3318) op(e1, e0) = e3
% 243.85/41.99 | | | | | | | | |
% 243.85/41.99 | | | | | | | | | REF_CLOSE: (160), (3314), (3318), (function-axioms) are
% 243.85/41.99 | | | | | | | | | inconsistent by sub-proof #1084.
% 243.85/41.99 | | | | | | | | |
% 243.85/41.99 | | | | | | | | Case 2:
% 243.85/41.99 | | | | | | | | |
% 243.85/41.99 | | | | | | | | | (3319) all_56_15 = e3 & op(e0, e0) = e3
% 243.85/41.99 | | | | | | | | |
% 243.85/41.99 | | | | | | | | | ALPHA: (3319) implies:
% 243.85/41.99 | | | | | | | | | (3320) all_56_15 = e3
% 243.85/41.99 | | | | | | | | | (3321) op(e0, e0) = e3
% 243.85/41.99 | | | | | | | | |
% 243.85/41.99 | | | | | | | | | BETA: splitting (61) gives:
% 243.85/41.99 | | | | | | | | |
% 243.85/41.99 | | | | | | | | | Case 1:
% 243.85/41.99 | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | (3322) ~ (all_20_2 = e3)
% 243.85/41.99 | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | REDUCE: (325), (3322) imply:
% 243.85/41.99 | | | | | | | | | | (3323) ~ (all_10_2 = e3)
% 243.85/41.99 | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | BETA: splitting (64) gives:
% 243.85/41.99 | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | Case 1:
% 243.85/41.99 | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | (3324) ~ (all_22_2 = e0)
% 243.85/41.99 | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | REDUCE: (251), (3324) imply:
% 243.85/41.99 | | | | | | | | | | | (3325) ~ (all_10_2 = e0)
% 243.85/41.99 | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | BETA: splitting (194) gives:
% 243.85/41.99 | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | Case 1:
% 243.85/41.99 | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | (3326) all_54_10 = e3
% 243.85/41.99 | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | COMBINE_EQS: (336), (3326) imply:
% 243.85/41.99 | | | | | | | | | | | | (3327) all_10_2 = e3
% 243.85/41.99 | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | REDUCE: (3323), (3327) imply:
% 243.85/41.99 | | | | | | | | | | | | (3328) $false
% 243.85/41.99 | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | CLOSE: (3328) is inconsistent.
% 243.85/41.99 | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | Case 2:
% 243.85/41.99 | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | (3329) ~ (all_54_10 = e3)
% 243.85/41.99 | | | | | | | | | | | | (3330) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 243.85/41.99 | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | BETA: splitting (3330) gives:
% 243.85/41.99 | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | Case 1:
% 243.85/41.99 | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | (3331) all_54_10 = e2
% 243.85/41.99 | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | COMBINE_EQS: (336), (3331) imply:
% 243.85/41.99 | | | | | | | | | | | | | (3332) all_10_2 = e2
% 243.85/41.99 | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | REDUCE: (375), (3332) imply:
% 243.85/41.99 | | | | | | | | | | | | | (3333) $false
% 243.85/41.99 | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | CLOSE: (3333) is inconsistent.
% 243.85/41.99 | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | Case 2:
% 243.85/41.99 | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | (3334) ~ (all_54_10 = e2)
% 243.85/41.99 | | | | | | | | | | | | | (3335) all_54_10 = e1 | all_54_10 = e0
% 243.85/41.99 | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | BETA: splitting (3335) gives:
% 243.85/41.99 | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | Case 1:
% 243.85/41.99 | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | (3336) all_54_10 = e1
% 243.85/41.99 | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | COMBINE_EQS: (336), (3336) imply:
% 243.85/41.99 | | | | | | | | | | | | | | (3337) all_10_2 = e1
% 243.85/41.99 | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | REDUCE: (350), (3337) imply:
% 243.85/41.99 | | | | | | | | | | | | | | (3338) ~ (all_52_2 = e1)
% 243.85/41.99 | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | REDUCE: (361), (3337) imply:
% 243.85/41.99 | | | | | | | | | | | | | | (3339) ~ (all_52_6 = e1)
% 243.85/41.99 | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | REDUCE: (363), (3337) imply:
% 243.85/41.99 | | | | | | | | | | | | | | (3340) ~ (all_52_8 = e1)
% 243.85/41.99 | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | REDUCE: (364), (3337) imply:
% 243.85/41.99 | | | | | | | | | | | | | | (3341) ~ (all_52_9 = e1)
% 243.85/41.99 | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | REDUCE: (366), (3337) imply:
% 243.85/41.99 | | | | | | | | | | | | | | (3342) ~ (all_52_11 = e1)
% 243.85/41.99 | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | REDUCE: (368), (3337) imply:
% 243.85/41.99 | | | | | | | | | | | | | | (3343) ~ (all_52_14 = e1)
% 243.85/41.99 | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | REDUCE: (3323), (3337) imply:
% 243.85/41.99 | | | | | | | | | | | | | | (3344) ~ (e3 = e1)
% 243.85/41.99 | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | REDUCE: (375), (3337) imply:
% 243.85/41.99 | | | | | | | | | | | | | | (3345) ~ (e2 = e1)
% 243.85/41.99 | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | REDUCE: (45), (3337) imply:
% 243.85/41.99 | | | | | | | | | | | | | | (3346) op(e1, e1) = e1
% 243.85/41.99 | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 243.85/41.99 | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | Case 1:
% 243.85/41.99 | | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | | (3347) ~ (all_24_2 = e1)
% 243.85/41.99 | | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | | REDUCE: (318), (3347) imply:
% 243.85/41.99 | | | | | | | | | | | | | | | (3348) ~ (all_4_2 = e1)
% 243.85/41.99 | | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 243.85/41.99 | | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | | Case 1:
% 243.85/41.99 | | | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | | | (3349) ~ (all_26_2 = e1)
% 243.85/41.99 | | | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | | | REDUCE: (307), (3349) imply:
% 243.85/41.99 | | | | | | | | | | | | | | | | (3350) ~ (all_6_2 = e1)
% 243.85/41.99 | | | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 243.85/41.99 | | | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | | | Case 1:
% 243.85/41.99 | | | | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | | | | (3351) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 243.85/41.99 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 243.85/41.99 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 243.85/41.99 | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 243.85/41.99 | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 243.85/41.99 | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 243.85/41.99 | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 243.85/41.99 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 243.85/41.99 | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 243.85/41.99 | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 243.85/41.99 | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 243.85/41.99 | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 243.85/41.99 | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 243.85/41.99 | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 243.85/41.99 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 243.85/41.99 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 243.85/41.99 | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 243.85/41.99 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 243.85/41.99 | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 243.85/41.99 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 243.85/41.99 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 243.85/41.99 | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 243.85/41.99 | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 243.85/41.99 | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 243.85/41.99 | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 243.85/41.99 | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 243.85/41.99 | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 243.85/41.99 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 243.85/41.99 | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 243.85/41.99 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 243.85/41.99 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 243.85/41.99 | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 243.85/41.99 | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 243.85/41.99 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 243.85/41.99 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 243.85/41.99 | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 243.85/41.99 | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 243.85/41.99 | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 243.85/41.99 | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 243.85/41.99 | | | | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | | | | BETA: splitting (3351) gives:
% 243.85/41.99 | | | | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | | | | Case 1:
% 243.85/41.99 | | | | | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | | | | | (3352) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 243.85/41.99 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 243.85/41.99 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 243.85/41.99 | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 243.85/41.99 | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 243.85/41.99 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 243.85/41.99 | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 243.85/41.99 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 243.85/41.99 | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 243.85/41.99 | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 243.85/41.99 | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 243.85/41.99 | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 243.85/41.99 | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 243.85/41.99 | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 243.85/41.99 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 243.85/41.99 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 243.85/41.99 | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 243.85/41.99 | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 243.85/41.99 | | | | | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | | | | | BETA: splitting (3352) gives:
% 243.85/41.99 | | | | | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | | | | | Case 1:
% 243.85/41.99 | | | | | | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | (3353) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 243.85/41.99 | | | | | | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | BETA: splitting (3353) gives:
% 243.85/41.99 | | | | | | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | Case 1:
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | | (3354) all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17 &
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_17) & $i(all_57_28)
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | | ALPHA: (3354) implies:
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | | (3355) op(e1, e1) = e3
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3346), (3355), (function-axioms) are
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1875.
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | Case 2:
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | | (3356) all_57_16 = e2 & all_57_31 = e3 & ~ (all_57_18 =
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e0, e3) = all_57_18 &
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_28)
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | | ALPHA: (3356) implies:
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | | (3357) all_57_31 = e3
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | | (3358) all_57_16 = e2
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | | (3359) ~ (all_57_18 = e0)
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | | (3360) op(e0, e3) = all_57_18
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | | (3361) op(e2, e2) = all_57_28
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | | (3362) op(e2, e3) = e2
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | |
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.85/41.99 | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | (3363) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (3358), (3363), (function-axioms) are
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1083.
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | (3364) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3364) gives:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | (3365) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3365) implies:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | (3366) op(e1, e1) = all_57_30
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | (3367) op(e1, e2) = all_57_20
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | (3368) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24))
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | (3369) (all_57_28 = e1 & op(e2, e2) = e1) | ( ~
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & op(e2, e1) = all_57_23 &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3369) gives:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | (3370) all_57_28 = e1 & op(e2, e2) = e1
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3370) implies:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | (3371) op(e2, e2) = e1
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (3348), (3371), (function-axioms) are
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1867.
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | (3372) ~ (all_57_23 = e2) & op(e2, e1) = all_57_23 &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3372) implies:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | (3373) op(e2, e1) = all_57_23
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | (3374) all_54_0 = e3
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (3374) imply:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | (3375) all_6_2 = e3
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (344), (3375) imply:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | (3376) ~ (all_52_4 = e3)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (346), (3375) imply:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | (3377) ~ (all_52_8 = e3)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (3375) imply:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | (3378) op(e3, e3) = e3
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | (3379) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (3376), (3379),
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | #1774.
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | (3380) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3380) gives:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3381) all_56_7 = e3 & op(e1, e2) = e3
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3381) implies:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3382) all_56_7 = e3
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3383) op(e1, e2) = e3
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3384) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3384) gives:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3385) all_56_4 = e3 & op(e3, e1) = e3
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3385) implies:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3386) op(e3, e1) = e3
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (3377), (3386), (function-axioms) are
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1599.
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3387) all_56_5 = e3 & op(e2, e1) = e3
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3387) implies:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3388) op(e2, e1) = e3
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3368) gives:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3389) all_57_31 = e1 & op(e0, e0) = e1
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3389) implies:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3390) op(e0, e0) = e1
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3321), (3390), (function-axioms) are
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3391) ~ (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3391) implies:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3392) ~ (all_57_24 = e0)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3393) op(e0, e1) = all_57_24
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24, e1, e0, simplifying with (157), (3393)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3394) all_57_24 = all_52_11
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18, e3, e0, simplifying with (159), (3360)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3395) all_57_18 = all_52_3
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (3346), (3366)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3396) all_57_30 = e1
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20, e2, e1, simplifying with (162), (3367)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3397) all_57_20 = all_52_6
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20, e2, e1, simplifying with (3367), (3383)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3398) all_57_20 = e3
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23, e1, e2, simplifying with (165), (3373)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3399) all_57_23 = all_52_9
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23, e1, e2, simplifying with (3373), (3388)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3400) all_57_23 = e3
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2,
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28, e2, e2, simplifying with (36), (3361)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3401) all_57_28 = all_4_2
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (3362) gives:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3402) all_52_1 = e2
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3397), (3398) imply:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3403) all_52_6 = e3
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3399), (3400) imply:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3404) all_52_9 = e3
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3359), (3395) imply:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3405) ~ (all_52_3 = e0)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3392), (3394) imply:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3406) ~ (all_52_11 = e0)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (3402) imply:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3407) ~ (all_4_2 = e2)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3407) implies:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3408) ~ (all_4_2 = e2)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (3404) imply:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3409) ~ (all_52_11 = e3)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (3404) imply:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3410) ~ (all_4_2 = e3)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3411) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3411) gives:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3412) all_56_2 = e1 & op(e2, e3) = e1
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3412) implies:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3413) op(e2, e3) = e1
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3362), (3413), (function-axioms) are
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1228.
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3414) all_56_3 = e1 & op(e2, e2) = e1
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3414) implies:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3415) op(e2, e2) = e1
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (3348), (3415), (function-axioms) are
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1867.
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.85/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3416) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3416) gives:
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3417) all_56_5 = e1 & op(e2, e1) = e1
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3417) implies:
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3418) op(e2, e1) = e1
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3341), (3418), (function-axioms) are
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1383.
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3419) all_56_10 = e1 & op(e2, e0) = e1
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3419) implies:
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3420) all_56_10 = e1
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3421) all_56_15 = e0 & op(e0, e0) = e0
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3320), (3421) are inconsistent by sub-proof
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1081.
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3422) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3422) implies:
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3423) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3424) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3425) all_54_14 = e3
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (3311), (3425) are inconsistent by
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1138.
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3426) ~ (all_54_14 = e3)
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3427) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3427) gives:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3428) all_54_14 = e2
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (3428) imply:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3429) all_52_11 = e2
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3429) implies:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3430) all_52_11 = e2
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (3430) imply:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3431) ~ (all_52_8 = e2)
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3311), (3430) imply:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3432) ~ (e3 = e2)
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3433) all_54_5 = e3
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (3433) are inconsistent by sub-proof
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1847.
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3434) ~ (all_54_5 = e3)
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3435) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3435) gives:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3436) all_54_5 = e2
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (3408), (3436) are inconsistent by
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1529.
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3437) ~ (all_54_5 = e2)
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3438) all_54_5 = e1 | all_54_5 = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3439) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3439) gives:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3440) all_56_12 = e1 & op(e0, e3) = e1
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3440) implies:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3441) all_56_12 = e1
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3442) all_54_2 = e3
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (3377), (3442) are inconsistent by
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1617.
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3443) ~ (all_54_2 = e3)
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3444) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3444) gives:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3445) all_54_2 = e2
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (3431), (3445) are inconsistent by
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1596.
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3446) ~ (all_54_2 = e2)
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3447) all_54_2 = e1 | all_54_2 = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3447) gives:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3448) all_54_2 = e1
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (3340), (3448) are inconsistent by
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1615.
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3449) all_54_2 = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (3449) imply:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3450) all_52_8 = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3450) implies:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3451) all_52_8 = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (3451) imply:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3452) ~ (all_52_12 = e0)
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3452) implies:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3453) ~ (all_52_12 = e0)
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3377), (3451) imply:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3454) ~ (e3 = e0)
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3431), (3451) imply:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3455) ~ (e2 = e0)
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3340), (3451) imply:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3456) ~ (e1 = e0)
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3457) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3457) gives:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3458) all_56_0 = e2 & op(e3, e3) = e2
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3458) implies:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3459) op(e3, e3) = e2
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3378), (3459), (function-axioms) are
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3460) all_56_2 = e2 & op(e2, e3) = e2
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3460) implies:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3461) all_56_2 = e2
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3462) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3462) gives:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3463) all_56_1 = e1 & op(e3, e2) = e1
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3463) implies:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3464) all_56_1 = e1
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3465) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3465) gives:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3466) all_56_6 = e2 & op(e1, e3) = e2
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3466) implies:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3467) all_56_6 = e2
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3468) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3468) gives:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3469) all_56_0 = e0 & op(e3, e3) = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3469) implies:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3470) op(e3, e3) = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3378), (3470), (function-axioms) are
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1859.
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3471) all_56_2 = e0 & op(e2, e3) = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3471) implies:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3472) all_56_2 = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3461), (3472) imply:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3473) e2 = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3467), (3473) imply:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3474) all_56_6 = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (3378), (3441), (3472),
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3474), (function-axioms) are inconsistent by
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1258.
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3475) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3475) gives:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3476) all_56_6 = e0 & op(e1, e3) = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3476) implies:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3477) all_56_6 = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (3378), (3441), (3461),
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3467), (3477), (function-axioms) are inconsistent
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1080.
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3478) all_56_12 = e0 & op(e0, e3) = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3478) implies:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3479) op(e0, e3) = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3405), (3479), (function-axioms) are
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1830.
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3480) all_56_7 = e2 & op(e1, e2) = e2
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3382), (3480) are inconsistent by sub-proof
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1769.
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3481) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3481) gives:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3482) all_56_8 = e2 & op(e1, e1) = e2
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3482) implies:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3483) op(e1, e1) = e2
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3346), (3483), (function-axioms) are
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3484) all_56_11 = e2 & op(e1, e0) = e2
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3484) implies:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3485) all_56_11 = e2
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3424) gives:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3486) all_56_9 = e0 & op(e3, e0) = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3453), (3486), (function-axioms) are
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1514.
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3487) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3487) gives:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3488) all_56_10 = e0 & op(e2, e0) = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3488) implies:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3489) all_56_10 = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3420), (3489) imply:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3490) e1 = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3464), (3490) imply:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3491) all_56_1 = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (36), (157), (159), (170), (226),
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (373), (3348), (3376), (3405), (3406),
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3423), (3491), (function-axioms) are inconsistent
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1076.
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3492) all_56_11 = e0 & op(e1, e0) = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3485), (3492) are inconsistent by sub-proof
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1670.
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3493) all_56_3 = e1 & op(e2, e2) = e1
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3493) implies:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3494) op(e2, e2) = e1
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (3348), (3494), (function-axioms) are
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1867.
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3495) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (36), (157), (159), (170), (228),
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (3376), (3405), (3406), (3423), (3495),
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1077.
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3496) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3496) gives:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3497) all_56_6 = e2 & op(e1, e3) = e2
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3497) implies:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3498) all_56_6 = e2
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3499) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3499) gives:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3500) all_56_0 = e0 & op(e3, e3) = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3500) implies:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3501) op(e3, e3) = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3378), (3501), (function-axioms) are
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1859.
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3502) all_56_2 = e0 & op(e2, e3) = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3502) implies:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3503) all_56_2 = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3438) gives:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3504) all_54_5 = e1
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (3348), (3504) are inconsistent by
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1075.
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3505) all_54_5 = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (3505) imply:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3506) all_4_2 = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3506) implies:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3507) all_4_2 = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (3507) imply:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3508) op(e2, e2) = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (222), (223),
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (373), (3420), (3503), (3508),
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1579.
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3509) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3509) gives:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3510) all_56_6 = e0 & op(e1, e3) = e0
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3498), (3510) are inconsistent by sub-proof
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1685.
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3511) all_56_12 = e0 & op(e0, e3) = e0
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3511) implies:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3512) op(e0, e3) = e0
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3405), (3512), (function-axioms) are
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1830.
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3513) all_56_12 = e2 & op(e0, e3) = e2
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3513) implies:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3514) all_56_12 = e2
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (157), (159), (207), (3321),
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3342), (3405), (3406), (3423), (3514),
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1073.
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3515) all_56_13 = e1 & op(e0, e2) = e1
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3515) implies:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3516) all_56_13 = e1
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (157), (159), (3405), (3406), (3423), (3516),
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1727.
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3517) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (3321), (3342), (3517),
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1074.
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3518) all_54_14 = e1 | all_54_14 = e0
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (3342), (3406), (3518) are inconsistent by
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1785.
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3519) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (162), (213),
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (3311), (3339), (3382), (3519),
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1072.
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (3520) all_56_13 = e3 & op(e0, e2) = e3
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3520) implies:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (3521) all_56_13 = e3
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3368) gives:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3522) all_57_31 = e1 & op(e0, e0) = e1
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3522) implies:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3523) op(e0, e0) = e1
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3321), (3523), (function-axioms) are
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3524) ~ (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3524) implies:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3525) ~ (all_57_24 = e0)
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3526) op(e0, e1) = all_57_24
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3527) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3527) gives:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3528) all_56_12 = e1 & op(e0, e3) = e1
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3528) implies:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3529) op(e0, e3) = e1
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3530) all_56_15 = e0 & op(e0, e0) = e0
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3530) implies:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3531) all_56_15 = e0
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3320), (3531) are inconsistent by sub-proof
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1071.
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3532) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3532) implies:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3533) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (3521), (3525), (3526), (3529), (3533),
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1070.
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3534) all_56_13 = e1 & op(e0, e2) = e1
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3534) implies:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3535) all_56_13 = e1
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3521), (3535) are inconsistent by sub-proof
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1732.
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3536) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (3321), (3342), (3536),
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1074.
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | (3537) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (3350), (3537) are
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1850.
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | (3538) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3538) implies:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | (3539) op(e0, all_57_31) = e0
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3357), (3539) imply:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | (3540) op(e0, e3) = e0
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3359), (3360), (3540), (function-axioms) are
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1332.
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | (3541) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 243.94/42.02 | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (373), (3338), (3541),
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | #1068.
% 243.94/42.02 | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.02 | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | (3542) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 243.94/42.02 | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 243.94/42.02 | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 243.94/42.02 | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 243.94/42.02 | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 243.94/42.02 | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | BETA: splitting (3542) gives:
% 243.94/42.02 | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | (3543) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 243.94/42.02 | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | BETA: splitting (3543) gives:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | (3544) all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | ALPHA: (3544) implies:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | (3545) op(e1, e1) = e2
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3346), (3545), (function-axioms) are
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | (3546) all_57_19 = e3 & all_57_31 = e2 & ~ (all_57_21 =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e2) & op(e3, e3) =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e0, e2) =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e0) = e2 & $i(all_57_21) &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | ALPHA: (3546) implies:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | (3547) op(e3, e2) = e3
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (204), (279), (344), (374), (377), (3350),
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | (3547), (function-axioms) are inconsistent by
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | | sub-proof #1067.
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.02 | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | (3548) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 243.94/42.02 | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (162), (3339), (3348), (3548),
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.02 | | | | | | | | | | | | | | | | | | | #1866.
% 243.94/42.02 | | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | | End of split
% 243.94/42.02 | | | | | | | | | | | | | | | | |
% 243.94/42.02 | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.02 | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | (3549) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 243.94/42.03 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 243.94/42.03 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 243.94/42.03 | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 243.94/42.03 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 243.94/42.03 | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 243.94/42.03 | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 243.94/42.03 | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 243.94/42.03 | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 243.94/42.03 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 243.94/42.03 | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 243.94/42.03 | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 243.94/42.03 | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 243.94/42.03 | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 243.94/42.03 | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 243.94/42.03 | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 243.94/42.03 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 243.94/42.03 | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 243.94/42.03 | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 243.94/42.03 | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 243.94/42.03 | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 243.94/42.03 | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 243.94/42.03 | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 243.94/42.03 | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 243.94/42.03 | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 243.94/42.03 | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 243.94/42.03 | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 243.94/42.03 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 243.94/42.03 | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 243.94/42.03 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 243.94/42.03 | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 243.94/42.03 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 243.94/42.03 | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 243.94/42.03 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 243.94/42.03 | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 243.94/42.03 | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | BETA: splitting (3549) gives:
% 243.94/42.03 | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.03 | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | (3550) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 243.94/42.03 | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 243.94/42.03 | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 243.94/42.03 | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 243.94/42.03 | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | BETA: splitting (3550) gives:
% 243.94/42.03 | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.03 | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | (3551) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 243.94/42.03 | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | BETA: splitting (3551) gives:
% 243.94/42.03 | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | (3552) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | ALPHA: (3552) implies:
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | (3553) op(e0, e0) = e1
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3321), (3553), (function-axioms) are
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | (3554) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | ALPHA: (3554) implies:
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | (3555) op(e3, e3) = e1
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | | (3556) all_54_0 = e3
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (3556) imply:
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | | (3557) all_6_2 = e3
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (3557) imply:
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | | (3558) op(e3, e3) = e3
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3555), (3558), (function-axioms) are
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1864.
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | | (3559) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (3350), (3559) are
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1850.
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.03 | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.03 | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | (3560) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 243.94/42.03 | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (3312), (3321), (3560),
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | #1066.
% 243.94/42.03 | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.03 | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.03 | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | (3561) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 243.94/42.03 | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 243.94/42.03 | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 243.94/42.03 | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 243.94/42.03 | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 243.94/42.03 | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 243.94/42.03 | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 243.94/42.03 | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 243.94/42.03 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 243.94/42.03 | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 243.94/42.03 | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 243.94/42.03 | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | BETA: splitting (3561) gives:
% 243.94/42.03 | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.03 | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | (3562) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 243.94/42.03 | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (204), (279), (374), (377), (3350), (3562),
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.03 | | | | | | | | | | | | | | | | | | | #1064.
% 243.94/42.03 | | | | | | | | | | | | | | | | | | |
% 243.94/42.03 | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.03 | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | (3563) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 243.94/42.04 | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | BETA: splitting (3563) gives:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | (3564) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | ALPHA: (3564) implies:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | (3565) op(e1, e1) = e0
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3346), (3565), (function-axioms) are
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1857.
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | (3566) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3566) gives:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | (3567) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3567) implies:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | (3568) op(e1, e0) = e1
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3343), (3568), (function-axioms) are
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1856.
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | (3569) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3569) implies:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | (3570) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | (3571) all_54_0 = e3
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (3571) imply:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | (3572) all_6_2 = e3
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3572) implies:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | (3573) all_6_2 = e3
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (3573) imply:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | (3574) op(e3, e3) = e3
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (373), (3346), (3348),
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | (3570), (3574), (function-axioms) are inconsistent
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1851.
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | (3575) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (3350), (3575) are
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1850.
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.04 | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.04 | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | End of split
% 243.94/42.04 | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | End of split
% 243.94/42.04 | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | Case 2:
% 243.94/42.04 | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | (3576) all_26_2 = e1
% 243.94/42.04 | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (3576) imply:
% 243.94/42.04 | | | | | | | | | | | | | | | | (3577) all_6_2 = e1
% 243.94/42.04 | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | SIMP: (3577) implies:
% 243.94/42.04 | | | | | | | | | | | | | | | | (3578) all_6_2 = e1
% 243.94/42.04 | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | REDUCE: (344), (3578) imply:
% 243.94/42.04 | | | | | | | | | | | | | | | | (3579) ~ (all_52_4 = e1)
% 243.94/42.04 | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | REDUCE: (348), (3578) imply:
% 243.94/42.04 | | | | | | | | | | | | | | | | (3580) ~ (all_52_12 = e1)
% 243.94/42.04 | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | REDUCE: (39), (3578) imply:
% 243.94/42.04 | | | | | | | | | | | | | | | | (3581) op(e3, e3) = e1
% 243.94/42.04 | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 243.94/42.04 | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.04 | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | (3582) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 243.94/42.04 | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 243.94/42.04 | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (3348), (3579), (3582),
% 243.94/42.04 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.04 | | | | | | | | | | | | | | | | | #1476.
% 243.94/42.04 | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.04 | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | (3583) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 243.94/42.04 | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 243.94/42.04 | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | BETA: splitting (3583) gives:
% 243.94/42.04 | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.04 | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | (3584) all_56_7 = e1 & op(e1, e2) = e1
% 243.94/42.04 | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | ALPHA: (3584) implies:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | (3585) op(e1, e2) = e1
% 243.94/42.04 | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3339), (3585), (function-axioms) are
% 243.94/42.04 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1868.
% 243.94/42.04 | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.04 | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | (3586) all_56_13 = e1 & op(e0, e2) = e1
% 243.94/42.04 | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | ALPHA: (3586) implies:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | (3587) all_56_13 = e1
% 243.94/42.04 | | | | | | | | | | | | | | | | | | (3588) op(e0, e2) = e1
% 243.94/42.04 | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 243.94/42.04 | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | (3589) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 243.94/42.04 | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | BETA: splitting (3589) gives:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | (3590) all_56_9 = e1 & op(e3, e0) = e1
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | ALPHA: (3590) implies:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | (3591) op(e3, e0) = e1
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3580), (3591), (function-axioms) are
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1848.
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | (3592) all_56_10 = e1 & op(e2, e0) = e1
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | ALPHA: (3592) implies:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | (3593) all_56_10 = e1
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | (3594) op(e2, e0) = e1
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (3588) gives:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | (3595) all_52_7 = e1
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (164), (3594) gives:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | (3596) all_52_13 = e1
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (3596) imply:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | (3597) ~ (all_52_1 = e1)
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (3595) imply:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | (3598) ~ (all_52_3 = e1)
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (3595) imply:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | (3599) ~ (all_52_11 = e1)
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (3596) imply:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | (3600) ~ (all_52_14 = e1)
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (3596) imply:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | (3601) ~ (all_4_2 = e1)
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | (3602) ~ (all_32_2 = e0)
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (314), (3602) imply:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | (3603) ~ (all_4_2 = e0)
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | (3604) all_54_5 = e3
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (3604) are inconsistent by sub-proof
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | #1847.
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | (3605) ~ (all_54_5 = e3)
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | (3606) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3606) gives:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | | (3607) all_54_5 = e2
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (3607) imply:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | | (3608) all_4_2 = e2
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3608) implies:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | | (3609) all_4_2 = e2
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (3609) imply:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | | (3610) ~ (all_52_1 = e2)
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (3609) imply:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | | (3611) ~ (all_52_9 = e2)
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (3609) imply:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | | (3612) ~ (e3 = e2)
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (9), (36), (160), (162), (163),
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (236), (238),
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | | (239), (373), (3312), (3321), (3338), (3339),
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | | (3343), (3346), (3348), (3581), (3610), (3611),
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | | #1055.
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | | (3613) all_54_5 = e1 | all_54_5 = e0
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (3348), (3603), (3613) are inconsistent by
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1845.
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.04 | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | (3614) all_32_2 = e0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | (3615) ( ~ (all_32_0 = e1) & op(all_32_1, all_32_1) =
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | all_32_0 & op(e0, e2) = all_32_1 & $i(all_32_0)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | & $i(all_32_1)) | ( ~ (all_32_1 = e3) & op(e0,
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | e2) = all_32_1 & $i(all_32_1))
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (3614) imply:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | (3616) all_4_2 = e0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | SIMP: (3616) implies:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | (3617) all_4_2 = e0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (3617) imply:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | (3618) all_36_2 = e0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (3617) imply:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | (3619) ~ (all_52_1 = e0)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (3617) imply:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | (3620) ~ (all_52_4 = e0)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (3617) imply:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | (3621) ~ (all_52_6 = e0)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (3617) imply:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | (3622) ~ (all_52_9 = e0)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3348), (3617) imply:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | (3623) ~ (e1 = e0)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (3617) imply:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | (3624) op(e2, e2) = e0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | (3625) ~ (all_36_2 = e0)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3618), (3625) imply:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | (3626) $false
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3626) is inconsistent.
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | (3627) ( ~ (all_36_0 = e3) & op(all_36_1, all_36_1) =
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | all_36_0 & op(e0, e2) = all_36_1 & $i(all_36_0)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | & $i(all_36_1)) | ( ~ (all_36_1 = e1) & op(e0,
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | e2) = all_36_1 & $i(all_36_1))
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3627) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | (3628) ~ (all_36_0 = e3) & op(all_36_1, all_36_1) =
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | all_36_0 & op(e0, e2) = all_36_1 & $i(all_36_0) &
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3628) implies:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | (3629) op(e0, e2) = all_36_1
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | (3630) op(all_36_1, all_36_1) = all_36_0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_36_1,
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (3588), (3629) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | (3631) all_36_1 = e1
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3630), (3631) imply:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | (3632) op(e1, e1) = all_36_0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3615) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | (3633) ~ (all_32_0 = e1) & op(all_32_1, all_32_1) =
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | all_32_0 & op(e0, e2) = all_32_1 & $i(all_32_0) &
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3633) implies:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | (3634) ~ (all_32_0 = e1)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | (3635) op(e0, e2) = all_32_1
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | (3636) op(all_32_1, all_32_1) = all_32_0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_32_1,
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (3588), (3635) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | (3637) all_32_1 = e1
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_36_0,
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (3346), (3632) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | (3638) all_36_0 = e1
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3636), (3637) imply:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | (3639) op(e1, e1) = all_32_0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_32_0,
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (3346), (3639) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | (3640) all_32_0 = e1
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3634), (3640) imply:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | (3641) $false
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3641) is inconsistent.
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | (3642) ~ (all_32_1 = e3) & op(e0, e2) = all_32_1 &
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3642) implies:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | (3643) ~ (all_32_1 = e3)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | (3644) op(e0, e2) = all_32_1
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_32_1,
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (3588), (3644) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | (3645) all_32_1 = e1
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_36_0,
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (3346), (3632) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | (3646) all_36_0 = e1
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3647) all_54_11 = e3
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (3314), (3647) are inconsistent by
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1184.
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3648) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3649) all_54_3 = e3
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (3312), (3649) are inconsistent by
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1725.
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3650) ~ (all_54_3 = e3)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3651) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3652) all_54_12 = e3
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (3309), (3652) are inconsistent by
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1503.
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3653) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3654) all_54_9 = e3
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (3654) imply:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3655) all_52_6 = e3
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3655) implies:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3656) all_52_6 = e3
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (3656) imply:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3657) ~ (all_52_2 = e3)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (3656) imply:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3658) ~ (all_52_4 = e3)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3659) all_54_1 = e3
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (3658), (3659) are inconsistent by
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1600.
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3660) ~ (all_54_1 = e3)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3661) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3662) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (3658), (3662),
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1774.
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3663) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3663) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3664) all_56_7 = e3 & op(e1, e2) = e3
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3664) implies:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3665) all_56_7 = e3
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3666) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (3581), (3658), (3666),
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1776.
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3667) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3667) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3668) all_56_4 = e3 & op(e3, e1) = e3
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3668) implies:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3669) all_56_4 = e3
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3670) op(e3, e1) = e3
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3671) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3671) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3672) all_56_0 = e3 & op(e3, e3) = e3
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3672) implies:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3673) op(e3, e3) = e3
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3581), (3673), (function-axioms) are
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1864.
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3674) all_56_2 = e3 & op(e2, e3) = e3
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3674) implies:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3675) all_56_2 = e3
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3676) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3676) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3677) all_56_4 = e0 & op(e3, e1) = e0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3677) implies:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3678) all_56_4 = e0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3669), (3678) imply:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3679) e3 = e0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3675), (3679) imply:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3680) all_56_2 = e0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (222), (223),
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (373), (3593), (3624), (3680),
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1579.
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3681) all_56_5 = e0 & op(e2, e1) = e0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3681) implies:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3682) all_56_5 = e0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (223), (224),
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (3593), (3624), (3682), (function-axioms)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1053.
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3683) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3683) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3684) all_56_8 = e0 & op(e1, e1) = e0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3684) implies:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3685) op(e1, e1) = e0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3346), (3685), (function-axioms) are
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1857.
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3686) all_56_14 = e0 & op(e0, e1) = e0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3686) implies:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3687) all_56_14 = e0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3688) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3688) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3689) all_56_12 = e2 & op(e0, e3) = e2
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3689) implies:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3690) all_56_12 = e2
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3691) all_56_15 = e0 & op(e0, e0) = e0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3691) implies:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3692) all_56_15 = e0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3320), (3692) imply:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3693) e3 = e0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3693) implies:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3694) e3 = e0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3675), (3694) imply:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3695) all_56_2 = e0
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (222), (223),
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (373), (3593), (3624), (3695),
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1579.
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3696) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3696) implies:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3697) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3661) gives:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3698) all_54_1 = e2
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (3698) imply:
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3699) all_52_4 = e2
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3699) implies:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3700) all_52_4 = e2
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (3700) imply:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3701) ~ (all_52_12 = e2)
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3701) implies:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3702) ~ (all_52_12 = e2)
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3658), (3700) imply:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3703) ~ (e3 = e2)
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3704) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3704) gives:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3705) all_56_0 = e2 & op(e3, e3) = e2
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3705) implies:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3706) op(e3, e3) = e2
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3581), (3706), (function-axioms) are
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3707) all_56_1 = e2 & op(e3, e2) = e2
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3707) implies:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3708) all_56_1 = e2
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3709) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3709) gives:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3710) all_56_9 = e2 & op(e3, e0) = e2
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (168),
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (215), (222), (223), (224), (229), (373),
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (378), (3346), (3580), (3581), (3593), (3624),
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3665), (3690), (3697), (3710), (function-axioms)
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1050.
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3711) all_56_10 = e2 & op(e2, e0) = e2
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3711) implies:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3712) all_56_10 = e2
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3593), (3712) are inconsistent by sub-proof
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1779.
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3713) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3713) gives:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3714) all_56_11 = e2 & op(e1, e0) = e2
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3714) implies:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3715) op(e1, e0) = e2
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3716) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (222), (223),
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (373), (3581), (3593), (3624), (3716),
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1052.
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3717) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3717) gives:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3718) all_56_6 = e0 & op(e1, e3) = e0
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3718) implies:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3719) op(e1, e3) = e0
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3651) gives:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3720) all_54_3 = e2
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (3702), (3720) are inconsistent by
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1707.
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3721) all_54_3 = e1 | all_54_3 = e0
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3721) gives:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3722) all_54_3 = e1
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (3580), (3722) are inconsistent by
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1706.
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3723) all_54_3 = e0
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (3723) imply:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3724) all_52_12 = e0
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3724) implies:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3725) all_52_12 = e0
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (3725) imply:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3726) ~ (all_52_8 = e0)
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3727) all_54_2 = e3
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (3727) imply:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3728) all_52_8 = e3
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3728) implies:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3729) all_52_8 = e3
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (3729) imply:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3730) ~ (all_52_9 = e3)
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3730) implies:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3731) ~ (all_52_9 = e3)
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3732) all_54_6 = e3
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (3731), (3732) are inconsistent by
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1595.
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3733) ~ (all_54_6 = e3)
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3734) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3734) gives:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3735) all_54_6 = e2
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (3735) imply:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3736) all_52_9 = e2
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3736) implies:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3737) all_52_9 = e2
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (3737) imply:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3738) ~ (all_52_1 = e2)
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (3737) imply:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3739) op(e2, e1) = e2
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3740) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3740) gives:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3741) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16))) & ((all_57_30 = e3 & op(e1,
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e3) | ( ~ (all_57_17 = e1) & op(e1,
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_17 & $i(all_57_17))) &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3741) implies:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3742) op(e3, e0) = all_57_25
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3743) op(e3, all_57_25) = e0
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3744) (all_57_30 = e3 & op(e1, e1) = e3) | ( ~
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & op(e1, e3) = all_57_17 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17))
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3745) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3745) gives:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3746) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3746) gives:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3747) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (3738), (3747), (function-axioms) are
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1721.
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3748) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3748) gives:
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3749) all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3749) implies:
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3750) op(e2, e2) = e3
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (3750), (function-axioms) are
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3751) all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_30)
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3346), (3744), (3751), (function-axioms) are
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1049.
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3752) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (162), (170), (3321), (3339), (3658), (3739),
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3752), (function-axioms) are inconsistent by
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1046.
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3753) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3753) gives:
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3754) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (169), (213),
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (3321), (3339), (3581), (3665),
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3670), (3719), (3742), (3743), (3744), (3754),
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1044.
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3755) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (9), (36), (168), (169), (170),
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (239), (373), (3312), (3321), (3346),
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3348), (3581), (3624), (3715), (3755),
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1043.
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3756) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e2 & op(e3, e3) = e2) | ( ~
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & op(e3, e2) = all_57_19 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19))) & ((all_57_30 = e2 & op(e1,
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_20 = e1) & op(e1,
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_20 & $i(all_57_20))) &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)))
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3756) implies:
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3757) op(e2, e1) = all_57_23
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3758) op(e2, e2) = all_57_28
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3759) op(e2, all_57_23) = e1
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (165), (198), (261), (3624), (3731), (3739),
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3757), (3758), (3759), (function-axioms) are
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1593.
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3760) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3760) gives:
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3761) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3761) implies:
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3762) (all_57_28 = e1 & op(e2, e2) = e1) | ( ~
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & op(e2, e1) = all_57_23 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3624), (3739), (3762), (function-axioms) are
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1789.
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3763) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3763) implies:
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3764) op(e0, e0) = all_57_31
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3765) op(e0, all_57_31) = e0
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3766) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3766) gives:
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3767) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3767) gives:
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3768) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (3738), (3768), (function-axioms) are
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1721.
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3769) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (373), (3338), (3769),
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1068.
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3770) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3770) gives:
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3771) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3771) gives:
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3772) all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3772) implies:
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3773) op(e3, e2) = e3
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (3658), (3773), (function-axioms) are
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1870.
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3774) all_57_19 = e3 & all_57_31 = e2 & ~ (all_57_21 =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e2) & op(e3, e3) =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e0, e2) =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e0) = e2 & $i(all_57_21) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3774) implies:
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3775) op(e0, e0) = e2
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3776) op(e0, e2) = all_57_21
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3588), (3764), (3765), (3775), (3776),
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1709.
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3777) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3777) gives:
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3778) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3778) implies:
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3779) op(e1, e2) = e1
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3339), (3779), (function-axioms) are
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1868.
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3780) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3780) gives:
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3781) all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_30)
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3781) implies:
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3782) op(e0, e0) = e2
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3783) op(e0, e2) = all_57_21
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3588), (3764), (3765), (3782), (3783),
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1709.
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3784) all_57_22 = e3 & all_57_28 = e1 & ~ (all_57_23 =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_26 = e1) & op(e3, e3) =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & $i(all_57_23) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3784) implies:
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3785) ~ (all_57_23 = e2)
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3786) op(e2, e1) = all_57_23
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3739), (3785), (3786), (function-axioms) are
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1790.
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3787) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3787) gives:
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3788) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3788) gives:
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3789) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (169), (3321), (3670), (3789),
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1045.
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3790) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (3312), (3321), (3790),
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1066.
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3791) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (9), (36), (168), (169), (170),
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (239), (373), (3312), (3321), (3346),
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3348), (3581), (3624), (3715), (3791),
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1043.
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3792) all_54_6 = e1 | all_54_6 = e0
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (261), (3594), (3622), (3792),
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1430.
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3793) ~ (all_54_2 = e3)
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (271), (3793) imply:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3794) ~ (all_52_8 = e3)
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (3670), (3794), (function-axioms) are
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1599.
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3795) all_56_12 = e0 & op(e0, e3) = e0
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3795) implies:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3796) all_56_12 = e0
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3690), (3796) imply:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3797) e2 = e0
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3708), (3797) imply:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3798) all_56_1 = e0
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (227), (228),
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (3587), (3624), (3798), (function-axioms)
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1815.
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3799) all_56_15 = e2 & op(e0, e0) = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3799) implies:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3800) op(e0, e0) = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3321), (3800), (function-axioms) are
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1063.
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3801) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3801) gives:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3802) all_56_4 = e2 & op(e3, e1) = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3802) implies:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3803) op(e3, e1) = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (169), (3670), (3803), (function-axioms) are
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1722.
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3804) all_56_9 = e2 & op(e3, e0) = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (168),
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (215), (222), (223), (224), (229), (373),
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (378), (3346), (3580), (3581), (3593), (3624),
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3665), (3690), (3697), (3804), (function-axioms)
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1050.
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3805) all_54_1 = e1 | all_54_1 = e0
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (3579), (3620), (3805) are inconsistent by
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1590.
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3806) all_56_13 = e2 & op(e0, e2) = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3806) implies:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3807) all_56_13 = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3587), (3807) are inconsistent by sub-proof
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1817.
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3808) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3808) gives:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3809) all_56_14 = e2 & op(e0, e1) = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3809) implies:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3810) all_56_14 = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3687), (3810) are inconsistent by sub-proof
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1042.
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3811) all_56_15 = e2 & op(e0, e0) = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3811) implies:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3812) op(e0, e0) = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3321), (3812), (function-axioms) are
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1063.
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3813) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3813) gives:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3814) all_56_6 = e3 & op(e1, e3) = e3
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (3657), (3814), (function-axioms) are
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1626.
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3815) all_56_12 = e3 & op(e0, e3) = e3
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3815) implies:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3816) all_56_12 = e3
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3817) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3817) gives:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3818) all_56_4 = e0 & op(e3, e1) = e0
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3818) implies:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3819) all_56_4 = e0
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3669), (3819) imply:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3820) e3 = e0
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3820) implies:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3821) e3 = e0
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3665), (3821) imply:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3822) all_56_7 = e0
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (227), (228),
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (3587), (3624), (3822), (function-axioms)
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1731.
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3823) all_56_5 = e0 & op(e2, e1) = e0
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3823) implies:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3824) all_56_5 = e0
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (223), (224),
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (3593), (3624), (3824), (function-axioms)
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1053.
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3825) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3825) gives:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3826) all_56_8 = e0 & op(e1, e1) = e0
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3826) implies:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3827) op(e1, e1) = e0
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3346), (3827), (function-axioms) are
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1857.
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3828) all_56_14 = e0 & op(e0, e1) = e0
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3828) implies:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3829) all_56_14 = e0
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3830) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3830) gives:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3831) all_56_4 = e2 & op(e3, e1) = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3831) implies:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3832) op(e3, e1) = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (169), (3670), (3832), (function-axioms) are
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1722.
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3833) all_56_5 = e2 & op(e2, e1) = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3833) implies:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3834) all_56_5 = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3835) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3835) gives:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3836) all_56_12 = e2 & op(e0, e3) = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3816), (3836) are inconsistent by sub-proof
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1656.
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3837) all_56_13 = e2 & op(e0, e2) = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3837) implies:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3838) all_56_13 = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3587), (3838) are inconsistent by sub-proof
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1817.
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3839) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3839) gives:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3840) all_56_14 = e2 & op(e0, e1) = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3840) implies:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3841) all_56_14 = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3829), (3841) imply:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3842) e2 = e0
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3842) implies:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3843) e2 = e0
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3834), (3843) imply:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3844) all_56_5 = e0
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (223), (224),
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (3593), (3624), (3844), (function-axioms)
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1053.
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3845) all_56_15 = e2 & op(e0, e0) = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3845) implies:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3846) op(e0, e0) = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3321), (3846), (function-axioms) are
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1063.
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3847) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3847) gives:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3848) all_56_8 = e2 & op(e1, e1) = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3848) implies:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3849) op(e1, e1) = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3346), (3849), (function-axioms) are
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3850) all_56_14 = e2 & op(e0, e1) = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3850) implies:
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3851) all_56_14 = e2
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3829), (3851) are inconsistent by sub-proof
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1042.
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3852) all_56_9 = e3 & op(e3, e0) = e3
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3852) implies:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3853) op(e3, e0) = e3
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3312), (3853), (function-axioms) are
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1862.
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3854) all_56_13 = e3 & op(e0, e2) = e3
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3854) implies:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3855) op(e0, e2) = e3
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3643), (3644), (3855), (function-axioms) are
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1750.
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3856) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3856) gives:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3857) all_54_9 = e2
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (3857) imply:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3858) all_52_6 = e2
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3858) implies:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3859) all_52_6 = e2
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (3859) imply:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3860) ~ (all_52_2 = e2)
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (3859) imply:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3861) ~ (all_52_4 = e2)
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (3859) imply:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3862) ~ (all_52_14 = e2)
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3862) implies:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3863) ~ (all_52_14 = e2)
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3864) all_54_1 = e3
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (3864) imply:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3865) all_52_4 = e3
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3865) implies:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3866) all_52_4 = e3
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (3866) imply:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3867) ~ (all_52_8 = e3)
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3867) implies:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3868) ~ (all_52_8 = e3)
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (3866) imply:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3869) ~ (all_52_12 = e3)
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (3866) imply:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3870) op(e3, e2) = e3
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3871) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3871) gives:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3872) all_56_4 = e3 & op(e3, e1) = e3
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3872) implies:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3873) op(e3, e1) = e3
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (3868), (3873), (function-axioms) are
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1599.
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3874) all_56_5 = e3 & op(e2, e1) = e3
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3874) implies:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3875) all_56_5 = e3
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3648) gives:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3876) all_54_11 = e2
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (3863), (3876) are inconsistent by
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1708.
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3877) ~ (all_54_11 = e2)
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3878) all_54_11 = e1 | all_54_11 = e0
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3878) gives:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3879) all_54_11 = e1
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (3343), (3879) are inconsistent by
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1041.
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3880) all_54_11 = e0
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (3880) imply:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3881) all_52_14 = e0
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3881) implies:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3882) all_52_14 = e0
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (3882) imply:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3883) ~ (all_52_2 = e0)
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (3882) imply:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3884) ~ (all_52_12 = e0)
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3863), (3882) imply:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3885) ~ (e2 = e0)
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3886) all_54_8 = e3
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (3886) imply:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3887) all_52_2 = e3
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3887) implies:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3888) all_52_2 = e3
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (3888) imply:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3889) ~ (all_52_1 = e3)
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (3888) imply:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3890) ~ (all_52_3 = e3)
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3891) all_54_4 = e3
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (3889), (3891) are inconsistent by
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1696.
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3892) ~ (all_54_4 = e3)
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3893) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3894) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (227), (228),
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (3581), (3587), (3624), (3894),
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1814.
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3895) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3895) gives:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3896) all_56_4 = e0 & op(e3, e1) = e0
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3896) implies:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3897) op(e3, e1) = e0
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3893) gives:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3898) all_54_4 = e2
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (3898) imply:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3899) all_52_1 = e2
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3899) implies:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3900) all_52_1 = e2
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (3900) imply:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3901) ~ (all_52_3 = e2)
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3901) implies:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3902) ~ (all_52_3 = e2)
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3889), (3900) imply:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3903) ~ (e3 = e2)
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3653) gives:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3904) all_54_12 = e2
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (3902), (3904) are inconsistent by
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1692.
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3905) ~ (all_54_12 = e2)
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3906) all_54_12 = e1 | all_54_12 = e0
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3906) gives:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3907) all_54_12 = e1
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (3907) imply:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3908) all_52_3 = e1
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3598), (3908) imply:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3909) $false
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3909) is inconsistent.
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3910) all_54_12 = e0
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (3910) imply:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3911) all_52_3 = e0
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (3911) imply:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3912) ~ (all_52_11 = e0)
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3912) implies:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3913) ~ (all_52_11 = e0)
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3309), (3911) imply:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3914) ~ (e3 = e0)
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (3911) imply:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3915) op(e0, e3) = e0
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3916) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3916) gives:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3917) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3917) gives:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3918) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3918) gives:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3919) all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17 &
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_17) & $i(all_57_28)
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3919) implies:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3920) op(e1, e1) = e3
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (217), (218),
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (3342), (3875), (3920), (function-axioms)
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1036.
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3921) all_57_16 = e2 & all_57_31 = e3 & ~ (all_57_18 =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e0, e3) = all_57_18 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_28)
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3921) implies:
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3922) ~ (all_57_18 = e0)
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3923) op(e0, e3) = all_57_18
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3915), (3922), (3923), (function-axioms) are
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1332.
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3924) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (3915), (3924), (function-axioms) are
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1035.
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3925) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9), (162), (3321), (3339), (3346),
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3624), (3925), (function-axioms) are inconsistent
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1033.
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3926) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3926) gives:
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3927) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3927) gives:
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3928) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3928) gives:
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3929) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3929) implies:
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3930) op(e0, e0) = e1
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3321), (3930), (function-axioms) are
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3931) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3931) implies:
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3932) all_57_26 = e1
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3933) op(e2, e1) = e2
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (118), (157), (159), (165), (190),
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (247), (3342), (3581), (3598), (3624),
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3870), (3897), (3913), (3932), (3933),
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1782.
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3934) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (3312), (3321), (3934),
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1066.
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3935) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3935) gives:
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3936) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3581), (3936), (function-axioms) are
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1831.
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3937) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3937) gives:
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3938) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3938) implies:
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3939) ~ (all_57_28 = e0)
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3940) op(e2, e2) = all_57_28
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3624), (3939), (3940), (function-axioms) are
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1781.
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3941) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3941) gives:
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3942) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3942) implies:
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3943) op(e1, e0) = e1
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3343), (3943), (function-axioms) are
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1856.
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3944) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3944) implies:
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3945) op(e0, e0) = all_57_31
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3946) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (168), (169), (170), (236),
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (373), (3312), (3321), (3346), (3348),
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3581), (3945), (3946), (function-axioms) are
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1056.
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3947) all_54_4 = e1 | all_54_4 = e0
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (3597), (3619), (3947) are inconsistent by
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1414.
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3948) all_56_9 = e0 & op(e3, e0) = e0
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3884), (3948), (function-axioms) are
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1514.
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3949) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (3338), (3860), (3883), (3949) are
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1028.
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3950) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (3311), (3346), (3950),
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1027.
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3951) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3951) gives:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3952) all_54_1 = e2
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (3861), (3952) are inconsistent by
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1152.
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3953) all_54_1 = e1 | all_54_1 = e0
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (3579), (3620), (3953) are inconsistent by
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1590.
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3954) all_54_9 = e1 | all_54_9 = e0
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (3339), (3621), (3954) are inconsistent by
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1025.
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | (3955) ~ (all_36_1 = e1) & op(e0, e2) = all_36_1 &
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3588), (3615), (3955), (function-axioms) are
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1747.
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.14 | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | (3956) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 243.94/42.14 | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (3321), (3343), (3956),
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | #1024.
% 243.94/42.14 | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.14 | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | End of split
% 243.94/42.14 | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | End of split
% 243.94/42.14 | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | End of split
% 243.94/42.14 | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | Case 2:
% 243.94/42.14 | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | (3957) all_24_2 = e1
% 243.94/42.14 | | | | | | | | | | | | | | | (3958) ( ~ (all_24_0 = e0) & op(all_24_1, all_24_1) =
% 243.94/42.14 | | | | | | | | | | | | | | | all_24_0 & op(e1, e2) = all_24_1 & $i(all_24_0)
% 243.94/42.14 | | | | | | | | | | | | | | | & $i(all_24_1)) | ( ~ (all_24_1 = e3) & op(e1,
% 243.94/42.14 | | | | | | | | | | | | | | | e2) = all_24_1 & $i(all_24_1))
% 243.94/42.14 | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | COMBINE_EQS: (318), (3957) imply:
% 243.94/42.14 | | | | | | | | | | | | | | | (3959) all_4_2 = e1
% 243.94/42.14 | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | COMBINE_EQS: (292), (3959) imply:
% 243.94/42.14 | | | | | | | | | | | | | | | (3960) all_44_2 = e1
% 243.94/42.14 | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | REDUCE: (352), (3959) imply:
% 243.94/42.14 | | | | | | | | | | | | | | | (3961) ~ (all_52_4 = e1)
% 243.94/42.14 | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | REDUCE: (356), (3959) imply:
% 243.94/42.14 | | | | | | | | | | | | | | | (3962) ~ (all_52_7 = e1)
% 243.94/42.14 | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | REDUCE: (360), (3959) imply:
% 243.94/42.14 | | | | | | | | | | | | | | | (3963) ~ (all_52_13 = e1)
% 243.94/42.14 | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 243.94/42.14 | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | Case 1:
% 243.94/42.14 | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | (3964) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 243.94/42.14 | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 243.94/42.14 | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | BETA: splitting (3964) gives:
% 243.94/42.14 | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.14 | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | (3965) all_56_12 = e1 & op(e0, e3) = e1
% 243.94/42.14 | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | ALPHA: (3965) implies:
% 243.94/42.14 | | | | | | | | | | | | | | | | | (3966) all_56_12 = e1
% 243.94/42.14 | | | | | | | | | | | | | | | | | (3967) op(e0, e3) = e1
% 243.94/42.14 | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 243.94/42.14 | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.14 | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | (3968) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 243.94/42.14 | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 243.94/42.14 | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | BETA: splitting (3968) gives:
% 243.94/42.14 | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | (3969) all_56_9 = e1 & op(e3, e0) = e1
% 243.94/42.14 | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | ALPHA: (3969) implies:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | (3970) all_56_9 = e1
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | (3971) op(e3, e0) = e1
% 243.94/42.14 | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | (3972) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3972) gives:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | (3973) all_56_1 = e1 & op(e3, e2) = e1
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3973) implies:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | (3974) op(e3, e2) = e1
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (3961), (3974), (function-axioms) are
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1616.
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | (3975) all_56_3 = e1 & op(e2, e2) = e1
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3975) implies:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | (3976) all_56_3 = e1
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | (3977) op(e2, e2) = e1
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (3967) gives:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | (3978) all_52_3 = e1
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | e1, e0, e3, simplifying with (168), (3971) gives:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | (3979) all_52_12 = e1
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (3978) imply:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | (3980) ~ (all_52_11 = e1)
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (3979) imply:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | (3981) ~ (all_52_13 = e1)
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (3979) imply:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | (3982) ~ (all_52_14 = e1)
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (348), (3979) imply:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | (3983) ~ (all_6_2 = e1)
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | SIMP: (3983) implies:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | (3984) ~ (all_6_2 = e1)
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | (3985) all_54_0 = e3
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (3985) imply:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | (3986) all_6_2 = e3
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (340), (3986) imply:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | (3987) ~ (all_52_2 = e3)
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (346), (3986) imply:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | (3988) ~ (all_52_8 = e3)
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (3986) imply:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | (3989) op(e3, e3) = e3
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | (3990) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3990) gives:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | (3991) all_56_4 = e3 & op(e3, e1) = e3
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3991) implies:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | (3992) op(e3, e1) = e3
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (3988), (3992), (function-axioms) are
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1599.
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | (3993) all_56_5 = e3 & op(e2, e1) = e3
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3993) implies:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | (3994) all_56_5 = e3
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | (3995) op(e2, e1) = e3
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | (3996) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3996) gives:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (3997) all_56_6 = e3 & op(e1, e3) = e3
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (3987), (3997), (function-axioms) are
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1626.
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (3998) all_56_7 = e3 & op(e1, e2) = e3
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3998) implies:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (3999) all_56_7 = e3
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (4000) op(e1, e2) = e3
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e3,
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (4000) gives:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (4001) all_52_6 = e3
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e3,
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (3995) gives:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (4002) all_52_9 = e3
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (4001) imply:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (4003) ~ (all_52_14 = e3)
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (4002) imply:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (4004) ~ (all_52_13 = e3)
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4005) ~ (all_44_2 = e1)
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3960), (4005) imply:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4006) $false
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4006) is inconsistent.
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4007) ( ~ (all_44_0 = e3) & op(all_44_1, all_44_1) =
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_44_0 & op(e1, e2) = all_44_1 & $i(all_44_0)
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_44_1)) | ( ~ (all_44_1 = e0) & op(e1,
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_44_1 & $i(all_44_1))
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4007) gives:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4008) ~ (all_44_0 = e3) & op(all_44_1, all_44_1) =
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_44_0 & op(e1, e2) = all_44_1 & $i(all_44_0) &
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_44_1)
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4008) implies:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4009) ~ (all_44_0 = e3)
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4010) op(e1, e2) = all_44_1
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4011) op(all_44_1, all_44_1) = all_44_0
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3958) gives:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4012) ~ (all_24_0 = e0) & op(all_24_1, all_24_1) =
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_0 & op(e1, e2) = all_24_1 & $i(all_24_0) &
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4012) implies:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4013) op(e1, e2) = all_24_1
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4014) op(all_24_1, all_24_1) = all_24_0
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3989), (4000), (4009), (4010), (4011), (4013),
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4014), (function-axioms) are inconsistent by
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1023.
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4015) ~ (all_24_1 = e3) & op(e1, e2) = all_24_1 &
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4015) implies:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4016) ~ (all_24_1 = e3)
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4017) op(e1, e2) = all_24_1
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4000), (4010), (4016), (4017), (function-axioms)
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1022.
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4018) ~ (all_44_1 = e0) & op(e1, e2) = all_44_1 &
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_44_1)
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4018) implies:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4019) ~ (all_44_1 = e0)
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4020) op(e1, e2) = all_44_1
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4021) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4021) gives:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4022) all_56_2 = e2 & op(e2, e3) = e2
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4022) implies:
% 243.94/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4023) all_56_2 = e2
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4024) op(e2, e3) = e2
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (3989), (4023), (4025),
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1224.
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4026) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4026) gives:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4027) all_56_6 = e0 & op(e1, e3) = e0
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4027) implies:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4028) all_56_6 = e0
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4029) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4029) gives:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4030) all_56_6 = e2 & op(e1, e3) = e2
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4030) implies:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4031) all_56_6 = e2
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (3966), (3989), (4023),
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4028), (4031), (function-axioms) are inconsistent
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1080.
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4032) all_56_7 = e2 & op(e1, e2) = e2
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4032) implies:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4033) all_56_7 = e2
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3999), (4033) are inconsistent by sub-proof
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1818.
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4034) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4034) gives:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4035) all_56_8 = e2 & op(e1, e1) = e2
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4035) implies:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4036) op(e1, e1) = e2
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3346), (4036), (function-axioms) are
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4037) all_56_11 = e2 & op(e1, e0) = e2
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4037) implies:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4038) op(e1, e0) = e2
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4039) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (233), (3966), (3977), (3989),
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4028), (4039), (function-axioms) are inconsistent
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1021.
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4040) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4040) gives:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4041) all_56_5 = e0 & op(e2, e1) = e0
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3994), (4041) are inconsistent by sub-proof
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1642.
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4042) all_56_10 = e0 & op(e2, e0) = e0
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4042) implies:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4043) op(e2, e0) = e0
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (4038) gives:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4044) all_52_14 = e2
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e2, simplifying with (164), (4043) gives:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4045) all_52_13 = e0
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (4024) gives:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4046) all_52_1 = e2
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3313), (4045) imply:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4047) ~ (e3 = e0)
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3963), (4045) imply:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4048) ~ (e1 = e0)
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3314), (4044) imply:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4049) ~ (e3 = e2)
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4050) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4050) gives:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4051) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16))) & ((all_57_30 = e3 & op(e1,
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e3) | ( ~ (all_57_17 = e1) & op(e1,
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_17 & $i(all_57_17))) &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4051) implies:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4052) (all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16))
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (373), (3977), (4024), (4052),
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1020.
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4053) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e2 & op(e3, e3) = e2) | ( ~
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & op(e3, e2) = all_57_19 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19))) & ((all_57_30 = e2 & op(e1,
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_20 = e1) & op(e1,
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_20 & $i(all_57_20))) &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)))
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (3989), (3995), (4024), (4053),
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1018.
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4054) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4054) gives:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4055) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4055) implies:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4056) op(e1, e0) = all_57_29
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4057) op(e1, all_57_29) = e0
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4058) (all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3958), (3989), (4019), (4020), (4038),
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4056), (4057), (4058), (function-axioms) are
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1017.
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4059) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (3321), (3967), (3989), (4059),
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1015.
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4060) all_56_12 = e0 & op(e0, e3) = e0
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4060) implies:
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4061) op(e0, e3) = e0
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3967), (4061), (function-axioms) are
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1636.
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4062) all_56_3 = e2 & op(e2, e2) = e2
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3976), (4062) are inconsistent by sub-proof
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1295.
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4063) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4063) gives:
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4064) all_56_5 = e2 & op(e2, e1) = e2
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4064) implies:
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4065) all_56_5 = e2
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3994), (4065) are inconsistent by sub-proof
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1585.
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4066) all_56_10 = e2 & op(e2, e0) = e2
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4066) implies:
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4067) all_56_10 = e2
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4068) op(e2, e0) = e2
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4069) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4069) gives:
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4070) all_56_2 = e0 & op(e2, e3) = e0
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4070) implies:
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4071) all_56_2 = e0
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4072) op(e2, e3) = e0
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4073) all_56_15 = e0 & op(e0, e0) = e0
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4073) implies:
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4074) all_56_15 = e0
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3320), (4074) are inconsistent by sub-proof
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1071.
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4075) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4075) implies:
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4076) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4076) gives:
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4077) all_56_9 = e0 & op(e3, e0) = e0
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4077) implies:
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4078) all_56_9 = e0
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3970), (4078) are inconsistent by sub-proof
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1745.
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4079) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4079) gives:
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4080) all_56_10 = e0 & op(e2, e0) = e0
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4067), (4080) are inconsistent by sub-proof
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1014.
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4081) all_56_11 = e0 & op(e1, e0) = e0
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4081) implies:
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4082) all_56_11 = e0
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4083) op(e1, e0) = e0
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4084) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4084) gives:
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4085) all_56_6 = e2 & op(e1, e3) = e2
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4085) implies:
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4086) all_56_6 = e2
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (4083) gives:
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4087) all_52_14 = e0
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 244.24/42.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (4068) gives:
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4088) all_52_13 = e2
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (4072) gives:
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4089) all_52_1 = e0
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3313), (4088) imply:
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4090) ~ (e3 = e2)
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3314), (4087) imply:
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4091) ~ (e3 = e0)
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3343), (4087) imply:
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4092) ~ (e1 = e0)
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4093) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4093) gives:
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4094) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4094) gives:
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4095) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4095) gives:
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4096) all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_17) & $i(all_57_28)
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4096) implies:
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4097) all_57_16 = e2
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4098) op(e2, e3) = e2
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (233), (239),
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (3321), (3966), (3967), (3989), (3995),
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4071), (4072), (4086), (4097), (4098),
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1013.
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4099) all_57_16 = e2 & all_57_31 = e3 & ~ (all_57_18 =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e0, e3) = all_57_18 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_28)
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4099) implies:
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4100) all_57_16 = e2
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4101) op(e2, e3) = e2
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (233), (239),
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (3321), (3966), (3967), (3989), (3995),
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4071), (4072), (4086), (4100), (4101),
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1013.
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4102) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (3338), (3977), (4102),
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1012.
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4103) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4103) gives:
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4104) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (204), (279), (344), (374), (377),
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3321), (3984), (4104), (function-axioms) are
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1011.
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4105) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (162), (169), (3321), (3339), (3988), (4105),
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1010.
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4106) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4106) gives:
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4107) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (3312), (3321), (3989), (4107),
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1009.
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4108) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4108) gives:
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4109) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3989), (4109), (function-axioms) are
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4110) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4110) gives:
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4111) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4111) implies:
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4112) op(e1, e1) = e0
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (214), (3999), (4082), (4086),
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4112), (function-axioms) are inconsistent by
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1449.
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4113) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4113) gives:
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4114) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4114) implies:
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4115) op(e1, e0) = e1
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3343), (4115), (function-axioms) are
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1856.
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4116) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4116) implies:
% 244.24/42.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4117) op(e0, e0) = all_57_31
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4118) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4118) gives:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4119) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4119) gives:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4120) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4120) implies:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4121) op(e2, e2) = e3
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3977), (4121), (function-axioms) are
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4122) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4122) gives:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4123) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4123) implies:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4124) op(e1, e1) = e3
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (3339), (3999), (4124), (function-axioms)
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1757.
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4125) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4125) implies:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4126) op(e3, e3) = e2
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3989), (4126), (function-axioms) are
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4127) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4127) gives:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4128) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4128) implies:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4129) op(e1, e1) = e2
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3346), (4129), (function-axioms) are
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4130) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4130) gives:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4131) all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4131) implies:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4132) op(e3, e3) = e1
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3989), (4132), (function-axioms) are
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1864.
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4133) all_57_24 = e0 & all_57_28 = e1 & ~ (all_57_23 =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e1) & op(e2, e2) = e1 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & op(e0, e1) = e0 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4133) implies:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4134) all_57_28 = e1
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4135) ~ (all_57_31 = e1)
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4136) ~ (all_57_23 = e2)
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4137) op(e0, e1) = e0
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4138) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4138) gives:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4139) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16))) & ((all_57_30 = e3 & op(e1,
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e3) | ( ~ (all_57_17 = e1) & op(e1,
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_17 & $i(all_57_17))) &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4139) implies:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4140) op(e3, e1) = all_57_22
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4141) op(e3, e2) = all_57_19
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4142) op(e3, all_57_22) = e1
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4143) (all_57_30 = e3 & op(e1, e1) = e3) | ( ~
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & op(e1, e3) = all_57_17 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17))
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4143) gives:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4144) all_57_30 = e3 & op(e1, e1) = e3
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4144) implies:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4145) op(e1, e1) = e3
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (3339), (3999), (4145), (function-axioms)
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1757.
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (157), (169), (170), (202), (271), (3340),
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3961), (3988), (4137), (4140), (4141), (4142),
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1612.
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4146) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e2 & op(e3, e3) = e2) | ( ~
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & op(e3, e2) = all_57_19 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19))) & ((all_57_30 = e2 & op(e1,
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_20 = e1) & op(e1,
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_20 & $i(all_57_20))) &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)))
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4146) implies:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4147) op(e2, e1) = all_57_23
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4148) op(e2, all_57_28) = e2
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4134), (4148) imply:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4149) op(e2, e1) = e2
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4136), (4147), (4149), (function-axioms) are
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1790.
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4150) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 244.24/42.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4150) gives:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4151) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4151) implies:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4152) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24))
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4117), (4135), (4137), (4152), (function-axioms)
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1711.
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4153) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (3321), (3967), (3989), (4153),
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1015.
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4154) all_56_7 = e2 & op(e1, e2) = e2
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3999), (4154) are inconsistent by sub-proof
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1769.
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4155) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (3346), (4082), (4155),
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1008.
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4156) all_56_3 = e0 & op(e2, e2) = e0
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4156) implies:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4157) op(e2, e2) = e0
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3977), (4157), (function-axioms) are
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1795.
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4158) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4158) gives:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4159) all_56_5 = e0 & op(e2, e1) = e0
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4159) implies:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4160) all_56_5 = e0
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3994), (4160) are inconsistent by sub-proof
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1605.
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4161) all_56_10 = e0 & op(e2, e0) = e0
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4161) implies:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4162) all_56_10 = e0
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4067), (4162) are inconsistent by sub-proof
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1007.
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | (4163) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (206), (211),
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (3320), (3321), (3342),
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (3994), (4163), (function-axioms) are
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1001.
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | (4164) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (3311), (3346), (4164),
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | #1027.
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | (4165) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (3984), (4165) are
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1850.
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | (4166) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (3339), (3962), (4166),
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | #1089.
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | (4167) all_56_10 = e1 & op(e2, e0) = e1
% 244.24/42.23 | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | ALPHA: (4167) implies:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | (4168) op(e2, e0) = e1
% 244.24/42.23 | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3963), (4168), (function-axioms) are
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1534.
% 244.24/42.23 | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.23 | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | (4169) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 244.24/42.23 | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (3321), (3343), (4169),
% 244.24/42.23 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.23 | | | | | | | | | | | | | | | | | | #1024.
% 244.24/42.23 | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.23 | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | (4170) all_56_13 = e1 & op(e0, e2) = e1
% 244.24/42.23 | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | ALPHA: (4170) implies:
% 244.24/42.23 | | | | | | | | | | | | | | | | | (4171) op(e0, e2) = e1
% 244.24/42.23 | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3962), (4171), (function-axioms) are
% 244.24/42.23 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1378.
% 244.24/42.23 | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | Case 2:
% 244.24/42.23 | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | (4172) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 244.24/42.23 | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 244.24/42.23 | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (3321), (3342), (4172),
% 244.24/42.23 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.23 | | | | | | | | | | | | | | | | #1074.
% 244.24/42.23 | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | Case 2:
% 244.24/42.23 | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | (4173) all_54_10 = e0
% 244.24/42.23 | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | COMBINE_EQS: (336), (4173) imply:
% 244.24/42.23 | | | | | | | | | | | | | | (4174) all_10_2 = e0
% 244.24/42.23 | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | REDUCE: (3325), (4174) imply:
% 244.24/42.23 | | | | | | | | | | | | | | (4175) $false
% 244.24/42.23 | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | CLOSE: (4175) is inconsistent.
% 244.24/42.23 | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | Case 2:
% 244.24/42.23 | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | (4176) all_22_2 = e0
% 244.24/42.23 | | | | | | | | | | | (4177) ( ~ (all_22_0 = e3) & op(all_22_1, all_22_1) =
% 244.24/42.23 | | | | | | | | | | | all_22_0 & op(e0, e1) = all_22_1 & $i(all_22_0)
% 244.24/42.23 | | | | | | | | | | | & $i(all_22_1)) | ( ~ (all_22_1 = e2) & op(e0,
% 244.24/42.23 | | | | | | | | | | | e1) = all_22_1 & $i(all_22_1))
% 244.24/42.23 | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | COMBINE_EQS: (251), (4176) imply:
% 244.24/42.23 | | | | | | | | | | | (4178) all_10_2 = e0
% 244.24/42.23 | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | COMBINE_EQS: (333), (4178) imply:
% 244.24/42.23 | | | | | | | | | | | (4179) all_38_2 = e0
% 244.24/42.23 | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | REDUCE: (350), (4178) imply:
% 244.24/42.23 | | | | | | | | | | | (4180) ~ (all_52_2 = e0)
% 244.24/42.23 | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | REDUCE: (363), (4178) imply:
% 244.24/42.23 | | | | | | | | | | | (4181) ~ (all_52_8 = e0)
% 244.24/42.23 | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | REDUCE: (364), (4178) imply:
% 244.24/42.23 | | | | | | | | | | | (4182) ~ (all_52_9 = e0)
% 244.24/42.23 | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | REDUCE: (366), (4178) imply:
% 244.24/42.23 | | | | | | | | | | | (4183) ~ (all_52_11 = e0)
% 244.24/42.23 | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | REDUCE: (368), (4178) imply:
% 244.24/42.23 | | | | | | | | | | | (4184) ~ (all_52_14 = e0)
% 244.24/42.23 | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | REDUCE: (3323), (4178) imply:
% 244.24/42.23 | | | | | | | | | | | (4185) ~ (e3 = e0)
% 244.24/42.23 | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | REDUCE: (375), (4178) imply:
% 244.24/42.23 | | | | | | | | | | | (4186) ~ (e2 = e0)
% 244.24/42.23 | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | REDUCE: (45), (4178) imply:
% 244.24/42.23 | | | | | | | | | | | (4187) op(e1, e1) = e0
% 244.24/42.23 | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | BETA: splitting (67) gives:
% 244.24/42.23 | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | Case 1:
% 244.24/42.23 | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | (4188) ~ (all_24_2 = e1)
% 244.24/42.23 | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | REDUCE: (318), (4188) imply:
% 244.24/42.23 | | | | | | | | | | | | (4189) ~ (all_4_2 = e1)
% 244.24/42.23 | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | BETA: splitting (70) gives:
% 244.24/42.23 | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | Case 1:
% 244.24/42.23 | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | (4190) ~ (all_26_2 = e1)
% 244.24/42.23 | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | REDUCE: (307), (4190) imply:
% 244.24/42.23 | | | | | | | | | | | | | (4191) ~ (all_6_2 = e1)
% 244.24/42.23 | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | BETA: splitting (204) gives:
% 244.24/42.23 | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | Case 1:
% 244.24/42.23 | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | (4192) all_54_0 = e3
% 244.24/42.23 | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | COMBINE_EQS: (279), (4192) imply:
% 244.24/42.23 | | | | | | | | | | | | | | (4193) all_6_2 = e3
% 244.24/42.23 | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | SIMP: (4193) implies:
% 244.24/42.23 | | | | | | | | | | | | | | (4194) all_6_2 = e3
% 244.24/42.23 | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | REDUCE: (340), (4194) imply:
% 244.24/42.23 | | | | | | | | | | | | | | (4195) ~ (all_52_2 = e3)
% 244.24/42.23 | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | REDUCE: (344), (4194) imply:
% 244.24/42.23 | | | | | | | | | | | | | | (4196) ~ (all_52_4 = e3)
% 244.24/42.23 | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | REDUCE: (39), (4194) imply:
% 244.24/42.23 | | | | | | | | | | | | | | (4197) op(e3, e3) = e3
% 244.24/42.23 | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 244.24/42.23 | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | Case 1:
% 244.24/42.23 | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | (4198) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 244.24/42.23 | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 244.24/42.23 | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | BETA: splitting (4198) gives:
% 244.24/42.23 | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | Case 1:
% 244.24/42.23 | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | (4199) all_56_6 = e3 & op(e1, e3) = e3
% 244.24/42.23 | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4195), (4199), (function-axioms) are
% 244.24/42.23 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1626.
% 244.24/42.23 | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | Case 2:
% 244.24/42.23 | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | (4200) all_56_7 = e3 & op(e1, e2) = e3
% 244.24/42.23 | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | ALPHA: (4200) implies:
% 244.24/42.23 | | | | | | | | | | | | | | | | (4201) op(e1, e2) = e3
% 244.24/42.23 | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 244.24/42.23 | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.23 | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | (4202) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 244.24/42.23 | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 244.24/42.23 | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | BETA: splitting (4202) gives:
% 244.24/42.23 | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.23 | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | (4203) all_56_2 = e3 & op(e2, e3) = e3
% 244.24/42.23 | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | ALPHA: (4203) implies:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | (4204) all_56_2 = e3
% 244.24/42.23 | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 244.24/42.23 | | | | | | | | | | | | | | | | | | (233), (4180), (4197), (4204), (function-axioms)
% 244.24/42.23 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1000.
% 244.24/42.23 | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.23 | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | (4205) all_56_3 = e3 & op(e2, e2) = e3
% 244.24/42.23 | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | ALPHA: (4205) implies:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | (4206) op(e2, e2) = e3
% 244.24/42.23 | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (4206), (function-axioms) are
% 244.24/42.23 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 244.24/42.23 | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | End of split
% 244.24/42.23 | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.23 | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | (4207) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 244.24/42.23 | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 244.24/42.23 | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | BETA: splitting (4207) gives:
% 244.24/42.23 | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.23 | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | (4208) all_56_5 = e3 & op(e2, e1) = e3
% 244.24/42.23 | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | ALPHA: (4208) implies:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | (4209) all_56_5 = e3
% 244.24/42.23 | | | | | | | | | | | | | | | | | | (4210) op(e2, e1) = e3
% 244.24/42.23 | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e3,
% 244.24/42.23 | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (4201) gives:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | (4211) all_52_6 = e3
% 244.24/42.23 | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e3,
% 244.24/42.23 | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (4210) gives:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | (4212) all_52_9 = e3
% 244.24/42.23 | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | REDUCE: (118), (4212) imply:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | (4213) ~ (all_52_11 = e3)
% 244.24/42.23 | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | REDUCE: (358), (4212) imply:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | (4214) ~ (all_4_2 = e3)
% 244.24/42.23 | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 244.24/42.23 | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | (4215) ~ (all_32_2 = e0)
% 244.24/42.23 | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | REDUCE: (314), (4215) imply:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | (4216) ~ (all_4_2 = e0)
% 244.24/42.23 | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | (4217) all_54_5 = e3
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (4217) are inconsistent by sub-proof
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | #1847.
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | (4218) ~ (all_54_5 = e3)
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | (4219) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4219) gives:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | (4220) all_54_5 = e2
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (4220) imply:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | (4221) all_4_2 = e2
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | SIMP: (4221) implies:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | (4222) all_4_2 = e2
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (4222) imply:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | (4223) ~ (all_52_13 = e2)
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (4222) imply:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | (4224) ~ (e3 = e2)
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (4222) imply:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | (4225) op(e2, e2) = e2
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | (4226) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4226) gives:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | (4227) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4227) gives:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | (4228) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (268), (349), (4189), (4216), (4219),
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | (4228), (function-axioms) are inconsistent by
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1843.
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | (4229) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4229) gives:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | (4230) all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4230) implies:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | (4231) op(e2, e2) = e3
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (4231), (function-axioms) are
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | (4232) all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_30)
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4232) implies:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | (4233) all_57_31 = e3
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | (4234) all_57_17 = e1
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | (4235) ~ (all_57_30 = e3)
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | (4236) ~ (all_57_18 = e0)
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | (4237) op(e0, e3) = all_57_18
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | (4238) op(e1, e1) = all_57_30
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | (4239) op(e1, e3) = e1
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (4240) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4240) gives:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4241) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 244.24/42.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16))) & ((all_57_30 = e3 & op(e1,
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e3) | ( ~ (all_57_17 = e1) & op(e1,
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_17 & $i(all_57_17))) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4241) implies:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4242) (all_57_30 = e3 & op(e1, e1) = e3) | ( ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & op(e1, e3) = all_57_17 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17))
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4187), (4239), (4242), (function-axioms) are
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #999.
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4243) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e2 & op(e3, e3) = e2) | ( ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & op(e3, e2) = all_57_19 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19))) & ((all_57_30 = e2 & op(e1,
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_20 = e1) & op(e1,
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_20 & $i(all_57_20))) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)))
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4243) implies:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4244) op(e2, e2) = all_57_28
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4245) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21))
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4246) (all_57_26 = e2 & op(e3, e3) = e2) | ( ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & op(e3, e2) = all_57_19 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19))
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4246) gives:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4247) all_57_26 = e2 & op(e3, e3) = e2
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4247) implies:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4248) op(e3, e3) = e2
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4197), (4248), (function-axioms) are
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4249) ~ (all_57_19 = e3) & op(e3, e2) = all_57_19 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4249) implies:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4250) ~ (all_57_19 = e3)
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4251) op(e3, e2) = all_57_19
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4245) gives:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4252) all_57_31 = e2 & op(e0, e0) = e2
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4252) implies:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4253) op(e0, e0) = e2
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3321), (4253), (function-axioms) are
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1063.
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4254) ~ (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4254) implies:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4255) ~ (all_57_21 = e0)
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4256) op(e0, e2) = all_57_21
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18, e3, e0, simplifying with (159), (4237)
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4257) all_57_18 = all_52_3
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (4187), (4238)
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4258) all_57_30 = e0
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (4239) gives:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4259) all_52_2 = e1
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28, e2, e2, simplifying with (4225), (4244)
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4260) all_57_28 = e2
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19, e2, e3, simplifying with (170), (4251)
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4261) all_57_19 = all_52_4
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4236), (4257) imply:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4262) ~ (all_52_3 = e0)
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4195), (4259) imply:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4263) ~ (e3 = e1)
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4264) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4264) gives:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4265) all_56_1 = e0 & op(e3, e2) = e0
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4265) implies:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4266) all_56_1 = e0
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4267) all_56_15 = e0 & op(e0, e0) = e0
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (169), (218),
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (3311), (3320), (4187), (4209),
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4267), (function-axioms) are inconsistent by
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #994.
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4268) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4268) implies:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4269) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (36), (157), (159), (170), (226),
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (373), (4183), (4189), (4196), (4262),
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4266), (4269), (function-axioms) are inconsistent
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1076.
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4270) all_56_3 = e0 & op(e2, e2) = e0
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4270) implies:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4271) op(e2, e2) = e0
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4225), (4244), (4271), (function-axioms) are
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #993.
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4272) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4272) gives:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4273) all_56_7 = e0 & op(e1, e2) = e0
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4273) implies:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4274) all_56_7 = e0
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4275) op(e1, e2) = e0
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (214), (215), (216),
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4187), (4274), (4275), (function-axioms) are
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #985.
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4276) all_56_13 = e0 & op(e0, e2) = e0
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4276) implies:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4277) op(e0, e2) = e0
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4255), (4256), (4277), (function-axioms) are
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1495.
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (4278) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4278) gives:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4279) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4279) implies:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4280) op(e1, all_57_17) = e3
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4234), (4280) imply:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4281) op(e1, e1) = e3
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4187), (4281), (function-axioms) are
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1771.
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4282) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4282) implies:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4283) op(e0, all_57_31) = e0
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4233), (4283) imply:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4284) op(e0, e3) = e0
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4236), (4237), (4284), (function-axioms) are
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1332.
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | (4285) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4285) gives:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | (4286) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (3321), (4196), (4286),
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | #1048.
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | (4287) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4287) gives:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | (4288) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4288) implies:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | (4289) op(e3, e3) = e2
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4197), (4289), (function-axioms) are
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | (4290) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (3321), (4189), (4290),
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | #984.
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | (4291) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4291) gives:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | (4292) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (3312), (3321), (4197), (4292),
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | #1009.
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | (4293) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4293) gives:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | (4294) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4197), (4294), (function-axioms) are
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | (4295) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4295) gives:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | (4296) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4296) implies:
% 244.24/42.24 | | | | | | | | | | | | | | | | | | | | | | | | | (4297) op(e2, e0) = e2
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4223), (4297), (function-axioms) are
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1493.
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | (4298) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4298) gives:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (4299) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4299) implies:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (4300) op(e2, e2) = e0
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4225), (4300), (function-axioms) are
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1835.
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (4301) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4301) implies:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (4302) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (36), (373), (4187), (4189),
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (4197), (4302), (function-axioms) are inconsistent
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1504.
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | (4303) all_54_5 = e1 | all_54_5 = e0
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (4189), (4216), (4303) are inconsistent by
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | sub-proof #1845.
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.25 | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | (4304) all_32_2 = e0
% 244.24/42.25 | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (4304) imply:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | (4305) all_4_2 = e0
% 244.24/42.25 | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | SIMP: (4305) implies:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | (4306) all_4_2 = e0
% 244.24/42.25 | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | REDUCE: (4189), (4306) imply:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | (4307) ~ (e1 = e0)
% 244.24/42.25 | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | REDUCE: (36), (4306) imply:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | (4308) op(e2, e2) = e0
% 244.24/42.25 | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | (4309) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4309) gives:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | (4310) all_56_0 = e0 & op(e3, e3) = e0
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4310) implies:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | (4311) op(e3, e3) = e0
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4197), (4311), (function-axioms) are
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1859.
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | (4312) all_56_2 = e0 & op(e2, e3) = e0
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4312) implies:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | (4313) all_56_2 = e0
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (222), (223),
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | (224), (373), (4209), (4308), (4313),
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | #983.
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | (4314) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4314) gives:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | (4315) all_56_6 = e0 & op(e1, e3) = e0
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4315) implies:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | (4316) op(e1, e3) = e0
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4180), (4316), (function-axioms) are
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1444.
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | (4317) all_56_12 = e0 & op(e0, e3) = e0
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4317) implies:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | (4318) op(e0, e3) = e0
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | (4319) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4319) gives:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | (4320) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (373), (4187), (4318), (4320),
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | #982.
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | (4321) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4321) gives:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | (4322) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (3321), (4196), (4322),
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | #1048.
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | (4323) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4323) gives:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | (4324) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4324) implies:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | (4325) op(e3, e3) = e2
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4197), (4325), (function-axioms) are
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | (4326) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (3321), (4308), (4326),
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | #1034.
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | (4327) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4327) gives:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | (4328) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (3312), (3321), (4197), (4328),
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | #1009.
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | (4329) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4329) gives:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | (4330) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4197), (4330), (function-axioms) are
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | (4331) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4331) gives:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | (4332) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4332) implies:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | (4333) ~ (all_57_28 = e0)
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | (4334) op(e2, e2) = all_57_28
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4308), (4333), (4334), (function-axioms) are
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1781.
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | (4335) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (36), (373), (4187), (4189),
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | (4197), (4335), (function-axioms) are inconsistent
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1491.
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | (4336) all_56_10 = e3 & op(e2, e0) = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | ALPHA: (4336) implies:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | (4337) op(e2, e0) = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3313), (4337), (function-axioms) are
% 244.24/42.26 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1086.
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | (4338) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 244.24/42.26 | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 244.24/42.26 | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | BETA: splitting (4338) gives:
% 244.24/42.26 | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | (4339) all_56_8 = e3 & op(e1, e1) = e3
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | ALPHA: (4339) implies:
% 244.24/42.26 | | | | | | | | | | | | | | | | (4340) op(e1, e1) = e3
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4187), (4340), (function-axioms) are
% 244.24/42.26 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1771.
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | (4341) all_56_11 = e3 & op(e1, e0) = e3
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | ALPHA: (4341) implies:
% 244.24/42.26 | | | | | | | | | | | | | | | | (4342) all_56_11 = e3
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | (4343) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 244.24/42.26 | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | BETA: splitting (4343) gives:
% 244.24/42.26 | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | (4344) all_56_2 = e3 & op(e2, e3) = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | ALPHA: (4344) implies:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | (4345) all_56_2 = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | (4346) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 244.24/42.26 | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (4196), (4346),
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | #1774.
% 244.24/42.26 | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | (4347) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 244.24/42.26 | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | BETA: splitting (4347) gives:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | (4348) all_56_7 = e3 & op(e1, e2) = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | ALPHA: (4348) implies:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | (4349) all_56_7 = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | (4350) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4350) gives:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | (4351) all_56_6 = e1 & op(e1, e3) = e1
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (229), (233), (4197),
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | (4345), (4351), (function-axioms) are inconsistent
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1425.
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | (4352) all_56_7 = e1 & op(e1, e2) = e1
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4349), (4352) are inconsistent by sub-proof
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | #1461.
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | (4353) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (215),
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | (4342), (4349), (4353), (function-axioms) are
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #981.
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | (4354) all_56_13 = e3 & op(e0, e2) = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | ALPHA: (4354) implies:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | (4355) all_56_13 = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | (4356) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4197), (4345), (4356), (function-axioms) are
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1428.
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | (4357) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4357) gives:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | (4358) all_56_6 = e1 & op(e1, e3) = e1
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (229), (233), (4197),
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | (4345), (4358), (function-axioms) are inconsistent
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1425.
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | (4359) all_56_12 = e1 & op(e0, e3) = e1
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4359) implies:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | (4360) all_56_12 = e1
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | (4361) op(e0, e3) = e1
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (206), (208), (3320),
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | (4355), (4360), (4361), (function-axioms) are
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #977.
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | (4362) all_56_3 = e3 & op(e2, e2) = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | ALPHA: (4362) implies:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | (4363) op(e2, e2) = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (4363), (function-axioms) are
% 244.24/42.26 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | (4364) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 244.24/42.26 | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 244.24/42.26 | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | BETA: splitting (4364) gives:
% 244.24/42.26 | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | (4365) all_56_5 = e3 & op(e2, e1) = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | ALPHA: (4365) implies:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | (4366) all_56_5 = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | (4367) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 244.24/42.26 | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (4196), (4367),
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | #1774.
% 244.24/42.26 | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | (4368) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 244.24/42.26 | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | BETA: splitting (4368) gives:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | (4369) all_56_7 = e3 & op(e1, e2) = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | ALPHA: (4369) implies:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | (4370) all_56_7 = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | (4371) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4371) gives:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | (4372) all_56_6 = e1 & op(e1, e3) = e1
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4372) implies:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | (4373) all_56_6 = e1
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | (4374) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (4370), (4373), (4374) are inconsistent
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1462.
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | (4375) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (4187), (4342), (4375),
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | | #1380.
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | (4376) all_56_7 = e1 & op(e1, e2) = e1
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4370), (4376) are inconsistent by sub-proof
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | #1461.
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | (4377) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (215),
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | (4342), (4370), (4377), (function-axioms) are
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #981.
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | (4378) all_56_13 = e3 & op(e0, e2) = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (169), (206),
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | (207), (208), (218), (219), (220), (3311), (3320),
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | (3321), (4183), (4187), (4366), (4378),
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | #970.
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | (4379) all_56_10 = e3 & op(e2, e0) = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | ALPHA: (4379) implies:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | (4380) op(e2, e0) = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3313), (4380), (function-axioms) are
% 244.24/42.26 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1086.
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | (4381) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 244.24/42.26 | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (4191), (4381) are
% 244.24/42.26 | | | | | | | | | | | | | | inconsistent by sub-proof #1850.
% 244.24/42.26 | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | (4382) all_26_2 = e1
% 244.24/42.26 | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | COMBINE_EQS: (307), (4382) imply:
% 244.24/42.26 | | | | | | | | | | | | | (4383) all_6_2 = e1
% 244.24/42.26 | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | SIMP: (4383) implies:
% 244.24/42.26 | | | | | | | | | | | | | (4384) all_6_2 = e1
% 244.24/42.26 | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | REDUCE: (340), (4384) imply:
% 244.24/42.26 | | | | | | | | | | | | | (4385) ~ (all_52_2 = e1)
% 244.24/42.26 | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | REDUCE: (346), (4384) imply:
% 244.24/42.26 | | | | | | | | | | | | | (4386) ~ (all_52_8 = e1)
% 244.24/42.26 | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | REDUCE: (377), (4384) imply:
% 244.24/42.26 | | | | | | | | | | | | | (4387) ~ (e2 = e1)
% 244.24/42.26 | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | REDUCE: (39), (4384) imply:
% 244.24/42.26 | | | | | | | | | | | | | (4388) op(e3, e3) = e1
% 244.24/42.26 | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | BETA: splitting (79) gives:
% 244.24/42.26 | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | (4389) ~ (all_32_2 = e0)
% 244.24/42.26 | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | REDUCE: (314), (4389) imply:
% 244.24/42.26 | | | | | | | | | | | | | | (4390) ~ (all_4_2 = e0)
% 244.24/42.26 | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 244.24/42.26 | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | (4391) all_54_5 = e3
% 244.24/42.26 | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | COMBINE_EQS: (268), (4391) imply:
% 244.24/42.26 | | | | | | | | | | | | | | | (4392) all_4_2 = e3
% 244.24/42.26 | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | REDUCE: (373), (4392) imply:
% 244.24/42.26 | | | | | | | | | | | | | | | (4393) $false
% 244.24/42.26 | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | CLOSE: (4393) is inconsistent.
% 244.24/42.26 | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | (4394) ~ (all_54_5 = e3)
% 244.24/42.26 | | | | | | | | | | | | | | | (4395) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 244.24/42.26 | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | BETA: splitting (4395) gives:
% 244.24/42.26 | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | (4396) all_54_5 = e2
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (4396) imply:
% 244.24/42.26 | | | | | | | | | | | | | | | | (4397) all_4_2 = e2
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | REDUCE: (358), (4397) imply:
% 244.24/42.26 | | | | | | | | | | | | | | | | (4398) ~ (all_52_9 = e2)
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | REDUCE: (360), (4397) imply:
% 244.24/42.26 | | | | | | | | | | | | | | | | (4399) ~ (all_52_13 = e2)
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | REDUCE: (373), (4397) imply:
% 244.24/42.26 | | | | | | | | | | | | | | | | (4400) ~ (e3 = e2)
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | REDUCE: (36), (4397) imply:
% 244.24/42.26 | | | | | | | | | | | | | | | | (4401) op(e2, e2) = e2
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (157), (163),
% 244.24/42.26 | | | | | | | | | | | | | | | | (164), (165), (167), (168), (238), (268), (349),
% 244.24/42.26 | | | | | | | | | | | | | | | | (373), (3312), (3321), (4183), (4187), (4189),
% 244.24/42.26 | | | | | | | | | | | | | | | | (4385), (4388), (4390), (4395), (4398), (4399),
% 244.24/42.26 | | | | | | | | | | | | | | | | (4401), (function-axioms) are inconsistent by
% 244.24/42.26 | | | | | | | | | | | | | | | | sub-proof #968.
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | (4402) all_54_5 = e1 | all_54_5 = e0
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | REF_CLOSE: (268), (4189), (4390), (4402) are inconsistent by
% 244.24/42.26 | | | | | | | | | | | | | | | | sub-proof #1845.
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | (4403) all_32_2 = e0
% 244.24/42.26 | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | COMBINE_EQS: (314), (4403) imply:
% 244.24/42.26 | | | | | | | | | | | | | | (4404) all_4_2 = e0
% 244.24/42.26 | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | SIMP: (4404) implies:
% 244.24/42.26 | | | | | | | | | | | | | | (4405) all_4_2 = e0
% 244.24/42.26 | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | REDUCE: (4189), (4405) imply:
% 244.24/42.26 | | | | | | | | | | | | | | (4406) ~ (e1 = e0)
% 244.24/42.26 | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | REDUCE: (36), (4405) imply:
% 244.24/42.26 | | | | | | | | | | | | | | (4407) op(e2, e2) = e0
% 244.24/42.26 | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 244.24/42.26 | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | (4408) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 244.24/42.26 | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 244.24/42.26 | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | BETA: splitting (4408) gives:
% 244.24/42.26 | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | (4409) all_56_0 = e0 & op(e3, e3) = e0
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | ALPHA: (4409) implies:
% 244.24/42.26 | | | | | | | | | | | | | | | | (4410) op(e3, e3) = e0
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4388), (4410), (function-axioms) are
% 244.24/42.26 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1832.
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | (4411) all_56_2 = e0 & op(e2, e3) = e0
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | ALPHA: (4411) implies:
% 244.24/42.26 | | | | | | | | | | | | | | | | (4412) all_56_2 = e0
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | (4413) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 244.24/42.26 | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (373), (4412), (4413),
% 244.24/42.26 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.26 | | | | | | | | | | | | | | | | | #1586.
% 244.24/42.26 | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | (4414) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 244.24/42.26 | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 244.24/42.26 | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | BETA: splitting (4414) gives:
% 244.24/42.26 | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | (4415) all_56_5 = e3 & op(e2, e1) = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | ALPHA: (4415) implies:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | (4416) all_56_5 = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | (4417) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 244.24/42.26 | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | BETA: splitting (4417) gives:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | (4418) all_56_4 = e1 & op(e3, e1) = e1
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4386), (4418), (function-axioms) are
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | (4419) all_56_5 = e1 & op(e2, e1) = e1
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4416), (4419) are inconsistent by sub-proof
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | #1038.
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | (4420) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 244.24/42.26 | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | BETA: splitting (4420) gives:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | (4421) all_56_8 = e1 & op(e1, e1) = e1
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | ALPHA: (4421) implies:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | (4422) op(e1, e1) = e1
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4187), (4422), (function-axioms) are
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1857.
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | (4423) all_56_14 = e1 & op(e0, e1) = e1
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | ALPHA: (4423) implies:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | (4424) all_56_14 = e1
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | (4425) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | (4388), (4407), (4425), (function-axioms) are
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #964.
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | (4426) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4426) gives:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | (4427) all_56_5 = e1 & op(e2, e1) = e1
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4427) implies:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | (4428) all_56_5 = e1
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (4187),
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | (4424), (4428), (function-axioms) are inconsistent
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1409.
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | (4429) all_56_10 = e1 & op(e2, e0) = e1
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4429) implies:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | (4430) all_56_10 = e1
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (222), (223),
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | (224), (373), (4407), (4412), (4430),
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | | #1579.
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | (4431) all_56_10 = e3 & op(e2, e0) = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | ALPHA: (4431) implies:
% 244.24/42.26 | | | | | | | | | | | | | | | | | | (4432) op(e2, e0) = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3313), (4432), (function-axioms) are
% 244.24/42.26 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1086.
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | End of split
% 244.24/42.26 | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | (4433) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 244.24/42.26 | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 244.24/42.26 | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | BETA: splitting (4433) gives:
% 244.24/42.26 | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | (4434) all_56_6 = e0 & op(e1, e3) = e0
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | ALPHA: (4434) implies:
% 244.24/42.26 | | | | | | | | | | | | | | | | (4435) op(e1, e3) = e0
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4180), (4435), (function-axioms) are
% 244.24/42.26 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1444.
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | (4436) all_56_12 = e0 & op(e0, e3) = e0
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | ALPHA: (4436) implies:
% 244.24/42.26 | | | | | | | | | | | | | | | | (4437) op(e0, e3) = e0
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 244.24/42.26 | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | (4438) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 244.24/42.26 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 244.24/42.26 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 244.24/42.26 | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 244.24/42.26 | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 244.24/42.26 | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 244.24/42.26 | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 244.24/42.26 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 244.24/42.26 | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 244.24/42.26 | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 244.24/42.26 | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 244.24/42.26 | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 244.24/42.26 | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 244.24/42.26 | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 244.24/42.26 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 244.24/42.26 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 244.24/42.26 | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 244.24/42.26 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 244.24/42.26 | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 244.24/42.26 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 244.24/42.26 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 244.24/42.26 | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 244.24/42.26 | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 244.24/42.26 | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 244.24/42.26 | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 244.24/42.26 | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 244.24/42.26 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 244.24/42.26 | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 244.24/42.26 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 244.24/42.26 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 244.24/42.26 | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 244.24/42.26 | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 244.24/42.26 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 244.24/42.26 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 244.24/42.26 | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 244.24/42.26 | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 244.24/42.26 | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 244.24/42.26 | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 244.24/42.26 | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | BETA: splitting (4438) gives:
% 244.24/42.26 | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | (4439) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 244.24/42.26 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 244.24/42.26 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 244.24/42.26 | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 244.24/42.26 | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 244.24/42.26 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 244.24/42.26 | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 244.24/42.26 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 244.24/42.26 | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 244.24/42.26 | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 244.24/42.26 | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 244.24/42.26 | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 244.24/42.26 | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 244.24/42.26 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 244.24/42.26 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 244.24/42.26 | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 244.24/42.26 | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (373), (4187), (4437), (4439),
% 244.24/42.26 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.26 | | | | | | | | | | | | | | | | | | #982.
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.26 | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.26 | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | (4440) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 244.24/42.27 | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 244.24/42.27 | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 244.24/42.27 | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 244.24/42.27 | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | BETA: splitting (4440) gives:
% 244.24/42.27 | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | (4441) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 244.24/42.27 | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (3321), (4187), (4441),
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | #969.
% 244.24/42.27 | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | (4442) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 244.24/42.27 | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (4442) gives:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (4443) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (4443) implies:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (4444) op(e3, e3) = e2
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4388), (4444), (function-axioms) are
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (4445) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (3321), (4407), (4445),
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | #1034.
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.27 | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.27 | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | End of split
% 244.24/42.27 | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.27 | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | (4446) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 244.24/42.27 | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 244.24/42.27 | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 244.24/42.27 | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 244.24/42.27 | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 244.24/42.27 | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 244.24/42.27 | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 244.24/42.27 | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 244.24/42.27 | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 244.24/42.27 | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 244.24/42.27 | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 244.24/42.27 | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 244.24/42.27 | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 244.24/42.27 | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 244.24/42.27 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 244.24/42.27 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 244.24/42.27 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 244.24/42.27 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 244.24/42.27 | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | BETA: splitting (4446) gives:
% 244.24/42.27 | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.27 | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | (4447) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 244.24/42.27 | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 244.24/42.27 | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 244.24/42.27 | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | BETA: splitting (4447) gives:
% 244.24/42.27 | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | (4448) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 244.24/42.27 | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (4448) gives:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (4449) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (4449) implies:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (4450) op(e0, e0) = e1
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3321), (4450), (function-axioms) are
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (4451) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (4451) implies:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (4452) all_57_26 = e1
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (4453) all_57_23 = e2
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (4454) ~ (all_57_28 = e1)
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (4455) ~ (all_57_22 = e3)
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (4456) op(e2, e1) = e2
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (4457) op(e3, e1) = all_57_22
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | (4458) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4452), (4453), (4454), (4455), (4458),
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | #963.
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | (4459) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4459) gives:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | (4460) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4460) implies:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | (4461) (all_57_28 = e1 & op(e2, e2) = e1) | ( ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & op(e2, e1) = all_57_23 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4407), (4456), (4461), (function-axioms) are
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1789.
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | (4462) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4462) implies:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | (4463) (all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4463) gives:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | | (4464) all_57_26 = e0 & op(e3, e3) = e0
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4464) implies:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | | (4465) op(e3, e3) = e0
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4388), (4465), (function-axioms) are
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1832.
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (4456) gives:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | | (4466) all_52_9 = e2
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | | all_57_22, e1, e3, simplifying with (169), (4457)
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | | (4467) all_57_22 = all_52_8
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4455), (4467) imply:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | | (4468) ~ (all_52_8 = e3)
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (4466) imply:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | | (4469) ~ (all_52_8 = e2)
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (202), (271), (4181), (4386), (4468), (4469) are
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #962.
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.27 | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | (4470) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 244.24/42.27 | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (3312), (3321), (4470),
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | #1066.
% 244.24/42.27 | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.27 | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.27 | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | (4471) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 244.24/42.27 | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 244.24/42.27 | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 244.24/42.27 | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 244.24/42.27 | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 244.24/42.27 | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | BETA: splitting (4471) gives:
% 244.24/42.27 | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | (4472) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 244.24/42.27 | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4388), (4472), (function-axioms) are
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1831.
% 244.24/42.27 | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | (4473) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 244.24/42.27 | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (4473) gives:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (4474) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (4474) implies:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (4475) ~ (all_57_28 = e0)
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (4476) op(e2, e2) = all_57_28
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4407), (4475), (4476), (function-axioms) are
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1781.
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (4477) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4477) gives:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | (4478) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4478) implies:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | (4479) ~ (all_57_30 = e0)
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | (4480) op(e1, e1) = all_57_30
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4187), (4479), (4480), (function-axioms) are
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1492.
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.27 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | (4481) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4481) implies:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | (4482) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (36), (157), (373), (4183), (4187),
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | (4189), (4388), (4482), (function-axioms) are
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1465.
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.28 | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.28 | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | End of split
% 244.24/42.28 | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | End of split
% 244.24/42.28 | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | End of split
% 244.24/42.28 | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | End of split
% 244.24/42.28 | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | End of split
% 244.24/42.28 | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | End of split
% 244.24/42.28 | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | Case 2:
% 244.24/42.28 | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | (4483) all_24_2 = e1
% 244.24/42.28 | | | | | | | | | | | | (4484) ( ~ (all_24_0 = e0) & op(all_24_1, all_24_1) =
% 244.24/42.28 | | | | | | | | | | | | all_24_0 & op(e1, e2) = all_24_1 & $i(all_24_0)
% 244.24/42.28 | | | | | | | | | | | | & $i(all_24_1)) | ( ~ (all_24_1 = e3) & op(e1,
% 244.24/42.28 | | | | | | | | | | | | e2) = all_24_1 & $i(all_24_1))
% 244.24/42.28 | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | COMBINE_EQS: (318), (4483) imply:
% 244.24/42.28 | | | | | | | | | | | | (4485) all_4_2 = e1
% 244.24/42.28 | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | SIMP: (4485) implies:
% 244.24/42.28 | | | | | | | | | | | | (4486) all_4_2 = e1
% 244.24/42.28 | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | COMBINE_EQS: (292), (4486) imply:
% 244.24/42.28 | | | | | | | | | | | | (4487) all_44_2 = e1
% 244.24/42.28 | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | REDUCE: (352), (4486) imply:
% 244.24/42.28 | | | | | | | | | | | | (4488) ~ (all_52_4 = e1)
% 244.24/42.28 | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | REDUCE: (354), (4486) imply:
% 244.24/42.28 | | | | | | | | | | | | (4489) ~ (all_52_6 = e1)
% 244.24/42.28 | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | REDUCE: (356), (4486) imply:
% 244.24/42.28 | | | | | | | | | | | | (4490) ~ (all_52_7 = e1)
% 244.24/42.28 | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | REDUCE: (358), (4486) imply:
% 244.24/42.28 | | | | | | | | | | | | (4491) ~ (all_52_9 = e1)
% 244.24/42.28 | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | REDUCE: (360), (4486) imply:
% 244.24/42.28 | | | | | | | | | | | | (4492) ~ (all_52_13 = e1)
% 244.24/42.28 | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | REDUCE: (373), (4486) imply:
% 244.24/42.28 | | | | | | | | | | | | (4493) ~ (e3 = e1)
% 244.24/42.28 | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | BETA: splitting (226) gives:
% 244.24/42.28 | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | (4494) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 244.24/42.28 | | | | | | | | | | | | | & op(e2, e2) = e1)
% 244.24/42.28 | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | BETA: splitting (4494) gives:
% 244.24/42.28 | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | (4495) all_56_1 = e1 & op(e3, e2) = e1
% 244.24/42.28 | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | ALPHA: (4495) implies:
% 244.24/42.28 | | | | | | | | | | | | | | (4496) op(e3, e2) = e1
% 244.24/42.28 | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | REF_CLOSE: (170), (4488), (4496), (function-axioms) are
% 244.24/42.28 | | | | | | | | | | | | | | inconsistent by sub-proof #1616.
% 244.24/42.28 | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | Case 2:
% 244.24/42.28 | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | (4497) all_56_3 = e1 & op(e2, e2) = e1
% 244.24/42.28 | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | ALPHA: (4497) implies:
% 244.24/42.28 | | | | | | | | | | | | | | (4498) all_56_3 = e1
% 244.24/42.28 | | | | | | | | | | | | | | (4499) op(e2, e2) = e1
% 244.24/42.28 | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 244.24/42.28 | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | (4500) ~ (all_26_2 = e1)
% 244.24/42.28 | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | REDUCE: (307), (4500) imply:
% 244.24/42.28 | | | | | | | | | | | | | | | (4501) ~ (all_6_2 = e1)
% 244.24/42.28 | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 244.24/42.28 | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | (4502) all_54_0 = e3
% 244.24/42.28 | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (4502) imply:
% 244.24/42.28 | | | | | | | | | | | | | | | | (4503) all_6_2 = e3
% 244.24/42.28 | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | REDUCE: (340), (4503) imply:
% 244.24/42.28 | | | | | | | | | | | | | | | | (4504) ~ (all_52_2 = e3)
% 244.24/42.28 | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | REDUCE: (346), (4503) imply:
% 244.24/42.28 | | | | | | | | | | | | | | | | (4505) ~ (all_52_8 = e3)
% 244.24/42.28 | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | REDUCE: (39), (4503) imply:
% 244.24/42.28 | | | | | | | | | | | | | | | | (4506) op(e3, e3) = e3
% 244.24/42.28 | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | (4507) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 244.24/42.28 | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | BETA: splitting (4507) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | (4508) all_56_2 = e3 & op(e2, e3) = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | ALPHA: (4508) implies:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | (4509) all_56_2 = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | (4510) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (4499), (4509), (4510),
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | #1296.
% 244.24/42.28 | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | (4511) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | BETA: splitting (4511) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | (4512) all_56_5 = e0 & op(e2, e1) = e0
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (4512) implies:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | (4513) all_56_5 = e0
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (169), (218),
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | (219), (220), (3311), (4187), (4513),
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | #995.
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | (4514) all_56_10 = e0 & op(e2, e0) = e0
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (4514) implies:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | (4515) all_56_10 = e0
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | (4516) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4516) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | (4517) all_56_6 = e3 & op(e1, e3) = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4504), (4517), (function-axioms) are
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1626.
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | (4518) all_56_7 = e3 & op(e1, e2) = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4518) implies:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | (4519) all_56_7 = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | (4520) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4520) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | (4521) all_56_2 = e2 & op(e2, e3) = e2
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4509), (4521) are inconsistent by sub-proof
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | #1346.
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | (4522) all_56_3 = e2 & op(e2, e2) = e2
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4498), (4522) are inconsistent by sub-proof
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | #1295.
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | (4523) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4523) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | (4524) all_56_5 = e2 & op(e2, e1) = e2
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4524) implies:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | (4525) all_56_5 = e2
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (162), (169),
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (220), (3311), (4489),
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | (4505), (4519), (4525), (function-axioms) are
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #961.
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | (4526) all_56_10 = e2 & op(e2, e0) = e2
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4526) implies:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | (4527) all_56_10 = e2
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4515), (4527) are inconsistent by sub-proof
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | #1007.
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | (4528) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4528) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | (4529) all_56_8 = e3 & op(e1, e1) = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4529) implies:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | (4530) op(e1, e1) = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4187), (4530), (function-axioms) are
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1771.
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | (4531) all_56_11 = e3 & op(e1, e0) = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4531) implies:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | (4532) all_56_11 = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | (4533) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4533) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | (4534) all_56_6 = e1 & op(e1, e3) = e1
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (229), (233), (4506),
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | (4509), (4534), (function-axioms) are inconsistent
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1425.
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | (4535) all_56_7 = e1 & op(e1, e2) = e1
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4535) implies:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | (4536) op(e1, e2) = e1
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (4489), (4536), (function-axioms) are
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1868.
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | (4537) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (4187), (4532), (4537),
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | #987.
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.28 | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.28 | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.28 | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | (4538) all_56_3 = e3 & op(e2, e2) = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | ALPHA: (4538) implies:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | (4539) op(e2, e2) = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4499), (4539), (function-axioms) are
% 244.24/42.28 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 244.24/42.28 | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | End of split
% 244.24/42.28 | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.28 | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | (4540) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 244.24/42.28 | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 244.24/42.28 | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | BETA: splitting (4540) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | (4541) all_56_5 = e3 & op(e2, e1) = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | ALPHA: (4541) implies:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | (4542) all_56_5 = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | | (4543) op(e2, e1) = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | (4544) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | BETA: splitting (4544) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | (4545) all_56_1 = e3 & op(e3, e2) = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (4545) implies:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | (4546) op(e3, e2) = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (204), (279), (344), (374), (377), (4501),
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | (4546), (function-axioms) are inconsistent by
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | sub-proof #1067.
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | (4547) all_56_3 = e3 & op(e2, e2) = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (4547) implies:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | (4548) op(e2, e2) = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4499), (4548), (function-axioms) are
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.28 | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | (4549) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | BETA: splitting (4549) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | (4550) all_56_7 = e3 & op(e1, e2) = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (4550) implies:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | (4551) all_56_7 = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | (4552) op(e1, e2) = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e3,
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (4552) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | (4553) all_52_6 = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e3,
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (4543) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | (4554) all_52_9 = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (4554) imply:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | (4555) ~ (all_52_11 = e3)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | (4556) ~ (all_44_2 = e1)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4487), (4556) imply:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | (4557) $false
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | CLOSE: (4557) is inconsistent.
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | (4558) ( ~ (all_44_0 = e3) & op(all_44_1, all_44_1) =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | all_44_0 & op(e1, e2) = all_44_1 & $i(all_44_0)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | & $i(all_44_1)) | ( ~ (all_44_1 = e0) & op(e1,
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | e2) = all_44_1 & $i(all_44_1))
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4484) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | (4559) ~ (all_24_0 = e0) & op(all_24_1, all_24_1) =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | all_24_0 & op(e1, e2) = all_24_1 & $i(all_24_0) &
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4559) implies:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | (4560) ~ (all_24_0 = e0)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | (4561) op(e1, e2) = all_24_1
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | (4562) op(all_24_1, all_24_1) = all_24_0
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_24_1,
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (4552), (4561) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | (4563) all_24_1 = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4562), (4563) imply:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | (4564) op(e3, e3) = all_24_0
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4558) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | (4565) ~ (all_44_0 = e3) & op(all_44_1, all_44_1) =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | all_44_0 & op(e1, e2) = all_44_1 & $i(all_44_0) &
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | $i(all_44_1)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4565) implies:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | (4566) ~ (all_44_0 = e3)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | (4567) op(e1, e2) = all_44_1
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | (4568) op(all_44_1, all_44_1) = all_44_0
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4506), (4552), (4561), (4562), (4566), (4567),
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | (4568), (function-axioms) are inconsistent by
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1023.
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | (4569) ~ (all_44_1 = e0) & op(e1, e2) = all_44_1 &
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | $i(all_44_1)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4569) implies:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | (4570) ~ (all_44_1 = e0)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | (4571) op(e1, e2) = all_44_1
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_24_0,
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (4506), (4564) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | (4572) all_24_0 = e3
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | (4573) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4573) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | (4574) all_56_9 = e1 & op(e3, e0) = e1
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4574) implies:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | (4575) all_56_9 = e1
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (4576) all_56_15 = e0 & op(e0, e0) = e0
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (169), (218),
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (3311), (3320), (4187), (4542),
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (4576), (function-axioms) are inconsistent by
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #994.
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (4577) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4577) implies:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (4578) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (162), (163),
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (204), (211), (212), (213),
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (218), (219), (220), (223), (229),
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (234), (238), (239), (279), (344),
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (377), (3311), (3312), (3321), (4180),
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (4183), (4187), (4484), (4489), (4498), (4499),
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (4501), (4505), (4506), (4543), (4551), (4570),
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (4571), (4575), (4578), (function-axioms) are
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #954.
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | (4579) all_56_10 = e1 & op(e2, e0) = e1
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4579) implies:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | (4580) op(e2, e0) = e1
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4492), (4580), (function-axioms) are
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1534.
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | (4581) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4581) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | (4582) all_56_11 = e1 & op(e1, e0) = e1
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4582) implies:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | (4583) op(e1, e0) = e1
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (4584) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4584) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4585) all_56_6 = e2 & op(e1, e3) = e2
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4585) implies:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4586) all_56_6 = e2
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4587) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4587) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4588) all_56_0 = e1 & op(e3, e3) = e1
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4588) implies:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4589) op(e3, e3) = e1
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4506), (4589), (function-axioms) are
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1864.
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4590) all_56_2 = e1 & op(e2, e3) = e1
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4590) implies:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4591) all_56_2 = e1
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4592) op(e2, e3) = e1
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4593) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4498), (4592), (4593), (function-axioms) are
% 244.24/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1212.
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4594) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4594) gives:
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4595) all_56_5 = e2 & op(e2, e1) = e2
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4595) implies:
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4596) all_56_5 = e2
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (162), (169),
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (220), (3311), (4489),
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4505), (4551), (4596), (function-axioms) are
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #961.
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4597) all_56_10 = e2 & op(e2, e0) = e2
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4597) implies:
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4598) all_56_10 = e2
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (169), (218),
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (3311), (4187), (4499),
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4591), (4598), (function-axioms) are inconsistent
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #953.
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4599) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4599) gives:
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4600) all_56_6 = e1 & op(e1, e3) = e1
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4600) implies:
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4601) all_56_6 = e1
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (215), (4187), (4551), (4583),
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4601), (function-axioms) are inconsistent by
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1362.
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4602) all_56_12 = e1 & op(e0, e3) = e1
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4602) implies:
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4603) all_56_12 = e1
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4604) op(e0, e3) = e1
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4605) all_56_15 = e0 & op(e0, e0) = e0
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (169), (218),
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (3311), (3320), (4187), (4542),
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4605), (function-axioms) are inconsistent by
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #976.
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4606) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4606) implies:
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4607) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4608) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4609) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4609) gives:
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4610) all_56_0 = e0 & op(e3, e3) = e0
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4610) implies:
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4611) op(e3, e3) = e0
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4506), (4611), (function-axioms) are
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1859.
% 244.24/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4612) all_56_2 = e0 & op(e2, e3) = e0
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4612) implies:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4613) all_56_2 = e0
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4614) op(e2, e3) = e0
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4615) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4615) gives:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4616) all_56_2 = e2 & op(e2, e3) = e2
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (4506), (4586), (4603),
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4613), (4616), (function-axioms) are inconsistent
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #952.
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4617) all_56_3 = e2 & op(e2, e2) = e2
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4617) implies:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4618) all_56_3 = e2
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4498), (4618) imply:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4619) e2 = e1
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4586), (4619) imply:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4620) all_56_6 = e1
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (215), (4187), (4551), (4583),
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4620), (function-axioms) are inconsistent by
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1362.
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4621) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4621) gives:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4622) all_56_5 = e2 & op(e2, e1) = e2
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4622) implies:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4623) all_56_5 = e2
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (162), (169),
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (220), (3311), (4489),
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4505), (4551), (4623), (function-axioms) are
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #961.
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4624) all_56_10 = e2 & op(e2, e0) = e2
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4624) implies:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4625) all_56_10 = e2
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4607) gives:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4626) all_56_12 = e0 & op(e0, e3) = e0
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4626) implies:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4627) op(e0, e3) = e0
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4604), (4627), (function-axioms) are
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1636.
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4628) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4628) gives:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4629) all_56_13 = e0 & op(e0, e2) = e0
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4629) implies:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4630) all_56_13 = e0
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4631) op(e0, e2) = e0
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4608) gives:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4632) all_56_9 = e0 & op(e3, e0) = e0
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4632) implies:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4633) all_56_9 = e0
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4634) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (4488), (4506), (4634),
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1106.
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4635) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4635) gives:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4636) all_56_4 = e1 & op(e3, e1) = e1
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4636) implies:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4637) all_56_4 = e1
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4638) op(e3, e1) = e1
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4639) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4639) gives:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4640) all_56_1 = e2 & op(e3, e2) = e2
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4640) implies:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4641) all_56_1 = e2
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4642) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4642) gives:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4643) all_56_12 = e2 & op(e0, e3) = e2
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4643) implies:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4644) all_56_12 = e2
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4603), (4644) imply:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4645) e2 = e1
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4586), (4645) imply:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4646) all_56_6 = e1
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (215), (4187), (4551), (4583),
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4646), (function-axioms) are inconsistent by
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1362.
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4647) all_56_13 = e2 & op(e0, e2) = e2
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4647) implies:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4648) all_56_13 = e2
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4630), (4648) imply:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4649) e2 = e0
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4641), (4649) imply:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4650) all_56_1 = e0
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (4506), (4633), (4637),
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4650), (function-axioms) are inconsistent by
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1352.
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4651) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4651) gives:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4652) all_56_14 = e2 & op(e0, e1) = e2
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4652) implies:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4653) all_56_14 = e2
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4654) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4654) gives:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4655) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4655) gives:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4656) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4656) gives:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4657) all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_17) & $i(all_57_28)
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4657) implies:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4658) all_57_16 = e2
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4659) op(e2, e3) = e2
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (233), (239),
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (3321), (4506), (4543), (4586), (4603),
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4604), (4613), (4614), (4658), (4659),
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1013.
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4660) all_57_16 = e2 & all_57_31 = e3 & ~ (all_57_18 =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e0, e3) = all_57_18 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_28)
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4660) implies:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4661) all_57_16 = e2
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4662) op(e2, e3) = e2
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (233), (239),
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (3321), (4506), (4543), (4586), (4603),
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4604), (4613), (4614), (4661), (4662),
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1013.
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4663) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4663) gives:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4664) all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4664) implies:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4665) op(e2, e2) = e3
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4499), (4665), (function-axioms) are
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4666) all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_30)
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4666) implies:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4667) all_57_17 = e1
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4668) op(e1, e3) = e1
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4669) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (3321), (4187), (4631), (4668), (4669),
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #950.
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4670) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4670) gives:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4671) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4671) implies:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4672) op(e1, all_57_17) = e3
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4667), (4672) imply:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4673) op(e1, e1) = e3
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (217), (4542), (4637), (4653),
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4673), (function-axioms) are inconsistent by
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1040.
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4674) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (3321), (4506), (4604), (4674),
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1015.
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4675) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4675) gives:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4676) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (204), (279), (344), (374), (377),
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3321), (4501), (4676), (function-axioms) are
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1011.
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4677) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (162), (3321), (4489), (4638), (4677),
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #948.
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4678) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4678) gives:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4679) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (3312), (3321), (4506), (4679),
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1009.
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4680) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4680) gives:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4681) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4506), (4681), (function-axioms) are
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4682) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4682) gives:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4683) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4683) implies:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4684) ~ (all_57_29 = e1)
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4685) op(e1, e0) = all_57_29
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4583), (4684), (4685), (function-axioms) are
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4686) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (157), (4183), (4187),
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4499), (4506), (4686), (function-axioms) are
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1299.
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4687) all_56_15 = e2 & op(e0, e0) = e2
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4687) implies:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4688) op(e0, e0) = e2
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3321), (4688), (function-axioms) are
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1063.
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4689) all_56_3 = e2 & op(e2, e2) = e2
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4689) implies:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4690) all_56_3 = e2
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4498), (4690) imply:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4691) e2 = e1
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4691) implies:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4692) e2 = e1
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4586), (4692) imply:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4693) all_56_6 = e1
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (215), (4187), (4551), (4583),
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4693), (function-axioms) are inconsistent by
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1362.
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4694) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4694) gives:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4695) all_56_7 = e2 & op(e1, e2) = e2
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4695) implies:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4696) all_56_7 = e2
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4551), (4696) imply:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4697) e3 = e2
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (162), (169),
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (220), (3311), (4489),
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4505), (4542), (4551), (4697), (function-axioms)
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #947.
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4698) all_56_13 = e2 & op(e0, e2) = e2
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4698) implies:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4699) all_56_13 = e2
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4630), (4699) imply:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4700) e2 = e0
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4586), (4700) imply:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4701) all_56_6 = e0
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (4506), (4603), (4613),
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4701), (function-axioms) are inconsistent by
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1258.
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4702) all_56_9 = e1 & op(e3, e0) = e1
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4702) implies:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4703) all_56_9 = e1
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (162), (163),
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (204), (211), (212), (213),
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (218), (219), (220), (223), (229),
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (234), (238), (239), (279), (344),
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (377), (3311), (3312), (3321), (4180),
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4183), (4187), (4484), (4489), (4498), (4499),
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4501), (4505), (4506), (4543), (4551), (4570),
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4571), (4608), (4703), (function-axioms) are
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #954.
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4704) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4704) gives:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4705) all_56_10 = e0 & op(e2, e0) = e0
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4705) implies:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4706) all_56_10 = e0
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4625), (4706) imply:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4707) e2 = e0
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4586), (4707) imply:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4708) all_56_6 = e0
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (4506), (4603), (4613),
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4708), (function-axioms) are inconsistent by
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1258.
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4709) all_56_11 = e0 & op(e1, e0) = e0
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4709) implies:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4710) all_56_11 = e0
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (214), (215), (4187),
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4551), (4710), (function-axioms) are inconsistent
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1447.
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4711) all_56_14 = e0 & op(e0, e1) = e0
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4711) implies:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4712) op(e0, e1) = e0
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (4183), (4712), (function-axioms) are
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1826.
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4713) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (163), (4180), (4604), (4713),
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #946.
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4714) all_56_7 = e2 & op(e1, e2) = e2
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4714) implies:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4715) all_56_7 = e2
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4551), (4715) imply:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4716) e3 = e2
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4542), (4716) imply:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4717) all_56_5 = e2
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (162), (169),
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (220), (3311), (4489),
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4505), (4551), (4717), (function-axioms) are
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #961.
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (4718) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (4187), (4583), (4718),
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | #1363.
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | (4719) all_56_15 = e1 & op(e0, e0) = e1
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4719) implies:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | (4720) op(e0, e0) = e1
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3321), (4720), (function-axioms) are
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | (4721) ~ (all_24_1 = e3) & op(e1, e2) = all_24_1 &
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4721) implies:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | (4722) ~ (all_24_1 = e3)
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | (4723) op(e1, e2) = all_24_1
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_24_1,
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (4552), (4723) gives:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | (4724) all_24_1 = e3
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4722), (4724) imply:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | (4725) $false
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4725) is inconsistent.
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | |
% 245.17/42.30 | | | | | | | | | | | | | | | | | | | | (4726) all_56_13 = e3 & op(e0, e2) = e3
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | ALPHA: (4726) implies:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | (4727) all_56_13 = e3
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | (4728) all_56_15 = e0 & op(e0, e0) = e0
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (169), (218),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | (219), (220), (3311), (3320), (4187), (4542),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | (4728), (function-axioms) are inconsistent by
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | sub-proof #976.
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | (4729) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4729) implies:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | (4730) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | (4731) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4731) gives:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | (4732) all_56_6 = e3 & op(e1, e3) = e3
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4504), (4732), (function-axioms) are
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1626.
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | (4733) all_56_7 = e3 & op(e1, e2) = e3
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4733) implies:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | (4734) all_56_7 = e3
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | (4735) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (158), (208), (3320),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | (4490), (4727), (4730), (4735), (function-axioms)
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #945.
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | (4736) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4736) gives:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | (4737) all_56_14 = e1 & op(e0, e1) = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4737) implies:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | (4738) all_56_14 = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | (4739) op(e0, e1) = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (4740) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4740) gives:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4741) all_56_12 = e2 & op(e0, e3) = e2
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4741) implies:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4742) all_56_12 = e2
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (4727), (4730), (4739), (4742),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1166.
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4743) all_56_13 = e2 & op(e0, e2) = e2
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4743) implies:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4744) all_56_13 = e2
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4727), (4744) imply:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4745) e3 = e2
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (162), (169),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (220), (3311), (4489),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4505), (4542), (4734), (4745), (function-axioms)
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #947.
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (4746) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4746) gives:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4747) all_56_14 = e2 & op(e0, e1) = e2
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4738), (4747) are inconsistent by sub-proof
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1112.
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4748) all_56_15 = e2 & op(e0, e0) = e2
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4748) implies:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4749) op(e0, e0) = e2
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3321), (4749), (function-axioms) are
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1063.
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | (4750) all_56_15 = e1 & op(e0, e0) = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4750) implies:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | (4751) op(e0, e0) = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3321), (4751), (function-axioms) are
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | (4752) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4752) gives:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | (4753) all_56_8 = e3 & op(e1, e1) = e3
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4753) implies:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | (4754) op(e1, e1) = e3
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4187), (4754), (function-axioms) are
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1771.
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | (4755) all_56_11 = e3 & op(e1, e0) = e3
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4755) implies:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | (4756) all_56_11 = e3
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4730) gives:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | (4757) all_56_12 = e0 & op(e0, e3) = e0
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4757) implies:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | (4758) all_56_12 = e0
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | (4759) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (4727), (4758), (4759) are inconsistent
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #975.
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | (4760) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4760) gives:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (4761) all_56_14 = e2 & op(e0, e1) = e2
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4761) implies:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (4762) all_56_14 = e2
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4763) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4763) gives:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4764) all_56_4 = e1 & op(e3, e1) = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4764) implies:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4765) op(e3, e1) = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4766) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4766) gives:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4767) all_56_6 = e1 & op(e1, e3) = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4767) implies:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4768) op(e1, e3) = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4769) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (158), (208), (3320),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4490), (4727), (4730), (4769), (function-axioms)
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #945.
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4770) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4770) gives:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4771) all_56_14 = e1 & op(e0, e1) = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4762), (4771) are inconsistent by sub-proof
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1401.
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4772) all_56_15 = e1 & op(e0, e0) = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4772) implies:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4773) op(e0, e0) = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (39), (141), (143), (157),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (168), (169), (204), (238),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (279), (346), (348), (374), (377), (4181),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4183), (4187), (4499), (4765), (4768), (4773),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #934.
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4774) all_56_7 = e1 & op(e1, e2) = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4774) implies:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4775) op(e1, e2) = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (4489), (4775), (function-axioms) are
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1868.
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4776) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (4187), (4756), (4776),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #987.
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4777) all_56_5 = e1 & op(e2, e1) = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4777) implies:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4778) op(e2, e1) = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4491), (4778), (function-axioms) are
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1383.
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4779) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (4187), (4762), (4779),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | #933.
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (4780) all_56_15 = e2 & op(e0, e0) = e2
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4780) implies:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (4781) op(e0, e0) = e2
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3321), (4781), (function-axioms) are
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1063.
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | (4782) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (169), (218),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (3311), (4183), (4187), (4542),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | (4727), (4782), (function-axioms) are inconsistent
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #971.
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | (4783) all_56_10 = e3 & op(e2, e0) = e3
% 245.17/42.31 | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | ALPHA: (4783) implies:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | (4784) op(e2, e0) = e3
% 245.17/42.31 | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3313), (4784), (function-axioms) are
% 245.17/42.31 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1086.
% 245.17/42.31 | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | (4785) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 245.17/42.31 | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (4501), (4785) are
% 245.17/42.31 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1850.
% 245.17/42.31 | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | (4786) all_26_2 = e1
% 245.17/42.31 | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | COMBINE_EQS: (307), (4786) imply:
% 245.17/42.31 | | | | | | | | | | | | | | | (4787) all_6_2 = e1
% 245.17/42.31 | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | SIMP: (4787) implies:
% 245.17/42.31 | | | | | | | | | | | | | | | (4788) all_6_2 = e1
% 245.17/42.31 | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | REDUCE: (338), (4788) imply:
% 245.17/42.31 | | | | | | | | | | | | | | | (4789) ~ (all_52_1 = e1)
% 245.17/42.31 | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | REDUCE: (346), (4788) imply:
% 245.17/42.31 | | | | | | | | | | | | | | | (4790) ~ (all_52_8 = e1)
% 245.17/42.31 | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | REDUCE: (348), (4788) imply:
% 245.17/42.31 | | | | | | | | | | | | | | | (4791) ~ (all_52_12 = e1)
% 245.17/42.31 | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | REDUCE: (377), (4788) imply:
% 245.17/42.31 | | | | | | | | | | | | | | | (4792) ~ (e2 = e1)
% 245.17/42.31 | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | REDUCE: (39), (4788) imply:
% 245.17/42.31 | | | | | | | | | | | | | | | (4793) op(e3, e3) = e1
% 245.17/42.31 | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 245.17/42.31 | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | (4794) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 245.17/42.31 | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (4491), (4790), (4794),
% 245.17/42.31 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.31 | | | | | | | | | | | | | | | | #932.
% 245.17/42.31 | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | (4795) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 245.17/42.31 | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 245.17/42.31 | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | BETA: splitting (4795) gives:
% 245.17/42.31 | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | (4796) all_56_8 = e1 & op(e1, e1) = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | ALPHA: (4796) implies:
% 245.17/42.31 | | | | | | | | | | | | | | | | | (4797) op(e1, e1) = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4187), (4797), (function-axioms) are
% 245.17/42.31 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1857.
% 245.17/42.31 | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | (4798) all_56_14 = e1 & op(e0, e1) = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | ALPHA: (4798) implies:
% 245.17/42.31 | | | | | | | | | | | | | | | | | (4799) all_56_14 = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | | (4800) op(e0, e1) = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 245.17/42.31 | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | (4801) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 245.17/42.31 | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 245.17/42.31 | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (4492), (4791), (4801),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.31 | | | | | | | | | | | | | | | | | | #1298.
% 245.17/42.31 | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | (4802) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 245.17/42.31 | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 245.17/42.31 | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | BETA: splitting (4802) gives:
% 245.17/42.31 | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | (4803) all_56_11 = e1 & op(e1, e0) = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | ALPHA: (4803) implies:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | (4804) op(e1, e0) = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | e1, e1, e0, simplifying with (157), (4800) gives:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | (4805) all_52_11 = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (4804) gives:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | (4806) all_52_14 = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | REDUCE: (141), (4806) imply:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | (4807) ~ (all_52_2 = e1)
% 245.17/42.31 | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | (4808) ~ (all_38_2 = e0)
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | REDUCE: (4179), (4808) imply:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | (4809) $false
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | CLOSE: (4809) is inconsistent.
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | (4810) ( ~ (all_38_0 = e2) & op(all_38_1, all_38_1) =
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | all_38_0 & op(e0, e1) = all_38_1 & $i(all_38_0)
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | & $i(all_38_1)) | ( ~ (all_38_1 = e3) & op(e0,
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | e1) = all_38_1 & $i(all_38_1))
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4810) gives:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | (4811) ~ (all_38_0 = e2) & op(all_38_1, all_38_1) =
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | all_38_0 & op(e0, e1) = all_38_1 & $i(all_38_0) &
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4811) implies:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | (4812) op(e0, e1) = all_38_1
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (145), (146),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | (157), (159), (162), (163), (164), (165), (167),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | (168), (169), (211), (218), (219), (220), (224),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | (229), (230), (236), (238), (239), (373), (3311),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | (3312), (3313), (3321), (4177), (4180), (4187),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | (4489), (4499), (4789), (4793), (4799), (4800),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | (4804), (4807), (4812), (function-axioms) are
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #923.
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | (4813) ~ (all_38_1 = e3) & op(e0, e1) = all_38_1 &
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4813) implies:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | (4814) op(e0, e1) = all_38_1
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (145), (146),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | (157), (159), (162), (163), (164), (165), (167),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | (168), (169), (211), (218), (219), (220), (224),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | (229), (230), (236), (238), (239), (373), (3311),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | (3312), (3313), (3321), (4177), (4180), (4187),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | (4489), (4499), (4789), (4793), (4799), (4800),
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | (4804), (4807), (4814), (function-axioms) are
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #923.
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | (4815) all_56_15 = e1 & op(e0, e0) = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | ALPHA: (4815) implies:
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | (4816) op(e0, e0) = e1
% 245.17/42.31 | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3321), (4816), (function-axioms) are
% 245.17/42.31 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 245.17/42.31 | | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | (4817) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 245.17/42.31 | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 245.17/42.31 | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | REF_CLOSE: (158), (162), (4489), (4490), (4817),
% 245.17/42.31 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.31 | | | | | | | | | | | | | #1089.
% 245.17/42.31 | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | End of split
% 245.17/42.31 | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | Case 2:
% 245.17/42.31 | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | (4818) all_20_2 = e3
% 245.17/42.31 | | | | | | | | | | (4819) ( ~ (all_20_0 = e2) & op(all_20_1, all_20_1) =
% 245.17/42.31 | | | | | | | | | | all_20_0 & op(e3, e1) = all_20_1 & $i(all_20_0)
% 245.17/42.31 | | | | | | | | | | & $i(all_20_1)) | ( ~ (all_20_1 = e0) & op(e3,
% 245.17/42.31 | | | | | | | | | | e1) = all_20_1 & $i(all_20_1))
% 245.17/42.31 | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | COMBINE_EQS: (325), (4818) imply:
% 245.17/42.31 | | | | | | | | | | (4820) all_10_2 = e3
% 245.17/42.31 | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | SIMP: (4820) implies:
% 245.17/42.31 | | | | | | | | | | (4821) all_10_2 = e3
% 245.17/42.31 | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | COMBINE_EQS: (331), (4821) imply:
% 245.17/42.31 | | | | | | | | | | (4822) all_30_2 = e3
% 245.17/42.31 | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | REDUCE: (361), (4821) imply:
% 245.17/42.31 | | | | | | | | | | (4823) ~ (all_52_6 = e3)
% 245.17/42.31 | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | REDUCE: (364), (4821) imply:
% 245.17/42.31 | | | | | | | | | | (4824) ~ (all_52_9 = e3)
% 245.17/42.31 | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | REDUCE: (45), (4821) imply:
% 245.17/42.31 | | | | | | | | | | (4825) op(e1, e1) = e3
% 245.17/42.31 | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | BETA: splitting (224) gives:
% 245.17/42.31 | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | (4826) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 245.17/42.31 | | | | | | | | | | | & op(e2, e2) = e3)
% 245.17/42.31 | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | BETA: splitting (4826) gives:
% 245.17/42.31 | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | (4827) all_56_2 = e3 & op(e2, e3) = e3
% 245.17/42.31 | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | ALPHA: (4827) implies:
% 245.17/42.31 | | | | | | | | | | | | (4828) all_56_2 = e3
% 245.17/42.31 | | | | | | | | | | | | (4829) op(e2, e3) = e3
% 245.17/42.31 | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | BETA: splitting (228) gives:
% 245.17/42.31 | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | (4830) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 245.17/42.31 | | | | | | | | | | | | | & op(e2, e2) = e3)
% 245.17/42.31 | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | BETA: splitting (4830) gives:
% 245.17/42.31 | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | Case 1:
% 245.17/42.31 | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | (4831) all_56_1 = e3 & op(e3, e2) = e3
% 245.17/42.31 | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | ALPHA: (4831) implies:
% 245.17/42.31 | | | | | | | | | | | | | | (4832) all_56_1 = e3
% 245.17/42.31 | | | | | | | | | | | | | | (4833) op(e3, e2) = e3
% 245.17/42.31 | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 245.17/42.31 | | | | | | | | | | | | | | e3, e2, simplifying with (167), (4829) gives:
% 245.17/42.31 | | | | | | | | | | | | | | (4834) all_52_1 = e3
% 245.17/42.31 | | | | | | | | | | | | | |
% 245.17/42.31 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 245.17/42.31 | | | | | | | | | | | | | | e2, e3, simplifying with (170), (4833) gives:
% 245.17/42.31 | | | | | | | | | | | | | | (4835) all_52_4 = e3
% 245.17/42.31 | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | REDUCE: (149), (4834) imply:
% 245.17/42.32 | | | | | | | | | | | | | | (4836) ~ (all_52_2 = e3)
% 245.17/42.32 | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | SIMP: (4836) implies:
% 245.17/42.32 | | | | | | | | | | | | | | (4837) ~ (all_52_2 = e3)
% 245.17/42.32 | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | REDUCE: (148), (4834) imply:
% 245.17/42.32 | | | | | | | | | | | | | | (4838) ~ (all_52_3 = e3)
% 245.17/42.32 | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | REDUCE: (145), (4834) imply:
% 245.17/42.32 | | | | | | | | | | | | | | (4839) ~ (all_52_13 = e3)
% 245.17/42.32 | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | REDUCE: (135), (4835) imply:
% 245.17/42.32 | | | | | | | | | | | | | | (4840) ~ (all_52_7 = e3)
% 245.17/42.32 | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | REDUCE: (134), (4835) imply:
% 245.17/42.32 | | | | | | | | | | | | | | (4841) ~ (all_52_8 = e3)
% 245.17/42.32 | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | SIMP: (4841) implies:
% 245.17/42.32 | | | | | | | | | | | | | | (4842) ~ (all_52_8 = e3)
% 245.17/42.32 | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | REDUCE: (344), (4835) imply:
% 245.17/42.32 | | | | | | | | | | | | | | (4843) ~ (all_6_2 = e3)
% 245.17/42.32 | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | SIMP: (4843) implies:
% 245.17/42.32 | | | | | | | | | | | | | | (4844) ~ (all_6_2 = e3)
% 245.17/42.32 | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | REDUCE: (352), (4835) imply:
% 245.17/42.32 | | | | | | | | | | | | | | (4845) ~ (all_4_2 = e3)
% 245.17/42.32 | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 245.17/42.32 | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | Case 1:
% 245.17/42.32 | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | (4846) all_54_0 = e3
% 245.17/42.32 | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | REF_CLOSE: (279), (4844), (4846) are inconsistent by
% 245.17/42.32 | | | | | | | | | | | | | | | sub-proof #922.
% 245.17/42.32 | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | Case 2:
% 245.17/42.32 | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | (4847) ~ (all_54_0 = e3)
% 245.17/42.32 | | | | | | | | | | | | | | | (4848) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 245.17/42.32 | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | BETA: splitting (4848) gives:
% 245.17/42.32 | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | Case 1:
% 245.17/42.32 | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | (4849) all_54_0 = e2
% 245.17/42.32 | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | REF_CLOSE: (279), (377), (4849) are inconsistent by sub-proof
% 245.17/42.32 | | | | | | | | | | | | | | | | #921.
% 245.17/42.32 | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | Case 2:
% 245.17/42.32 | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | (4850) ~ (all_54_0 = e2)
% 245.17/42.32 | | | | | | | | | | | | | | | | (4851) all_54_0 = e1 | all_54_0 = e0
% 245.17/42.32 | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | BETA: splitting (4851) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.32 | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | (4852) all_54_0 = e1
% 245.17/42.32 | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (4852) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | (4853) all_6_2 = e1
% 245.17/42.32 | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | SIMP: (4853) implies:
% 245.17/42.32 | | | | | | | | | | | | | | | | | (4854) all_6_2 = e1
% 245.17/42.32 | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (4854) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | (4855) all_26_2 = e1
% 245.17/42.32 | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (4854) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | (4856) all_42_2 = e1
% 245.17/42.32 | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | REDUCE: (340), (4854) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | (4857) ~ (all_52_2 = e1)
% 245.17/42.32 | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | REDUCE: (342), (4854) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | (4858) ~ (all_52_3 = e1)
% 245.17/42.32 | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | REDUCE: (346), (4854) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | (4859) ~ (all_52_8 = e1)
% 245.17/42.32 | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | REDUCE: (348), (4854) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | (4860) ~ (all_52_12 = e1)
% 245.17/42.32 | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | REDUCE: (4844), (4854) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | (4861) ~ (e3 = e1)
% 245.17/42.32 | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | REDUCE: (377), (4854) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | (4862) ~ (e2 = e1)
% 245.17/42.32 | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | REDUCE: (39), (4854) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | (4863) op(e3, e3) = e1
% 245.17/42.32 | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.32 | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | (4864) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 245.17/42.32 | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 245.17/42.32 | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 245.17/42.32 | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 245.17/42.32 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 245.17/42.32 | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 245.17/42.32 | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 245.17/42.32 | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 245.17/42.32 | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 245.17/42.32 | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 245.17/42.32 | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 245.17/42.32 | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 245.17/42.32 | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 245.17/42.32 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 245.17/42.32 | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 245.17/42.32 | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 245.17/42.32 | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (169), (373), (4833), (4842), (4863),
% 245.17/42.32 | | | | | | | | | | | | | | | | | | (4864), (function-axioms) are inconsistent by
% 245.17/42.32 | | | | | | | | | | | | | | | | | | sub-proof #1143.
% 245.17/42.32 | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.32 | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | (4865) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 245.17/42.32 | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 245.17/42.32 | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 245.17/42.32 | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 245.17/42.32 | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 245.17/42.32 | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 245.17/42.32 | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 245.17/42.32 | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 245.17/42.32 | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 245.17/42.32 | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 245.17/42.32 | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 245.17/42.32 | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 245.17/42.32 | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 245.17/42.32 | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 245.17/42.32 | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 245.17/42.32 | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | BETA: splitting (4865) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | (4866) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 245.17/42.32 | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | ALPHA: (4866) implies:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | (4867) op(e1, e1) = all_57_30
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | (4868) op(e1, e3) = all_57_17
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | (4869) op(e1, all_57_30) = e1
% 245.17/42.32 | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (4825), (4867)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | (4870) all_57_30 = e3
% 245.17/42.32 | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | all_57_17, e3, e1, simplifying with (163), (4868)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | (4871) all_57_17 = all_52_2
% 245.17/42.32 | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | REDUCE: (4869), (4870) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | (4872) op(e1, e3) = e1
% 245.17/42.32 | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4857), (4872), (function-axioms) are
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1069.
% 245.17/42.32 | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | (4873) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 245.17/42.32 | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | ALPHA: (4873) implies:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | (4874) op(e0, e0) = all_57_31
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | (4875) op(e0, e3) = all_57_18
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | (4876) op(e0, all_57_31) = e0
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | (4877) op(e0, all_57_18) = e3
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | (4878) (all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | (4879) (all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | $i(all_57_25))
% 245.17/42.32 | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | BETA: splitting (4878) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | (4880) all_57_30 = e0 & op(e1, e1) = e0
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | ALPHA: (4880) implies:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | (4881) op(e1, e1) = e0
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4825), (4881), (function-axioms) are
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1771.
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | (4882) ~ (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | ALPHA: (4882) implies:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | (4883) ~ (all_57_29 = e1)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | (4884) op(e1, e0) = all_57_29
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4879) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | (4885) all_57_26 = e0 & op(e3, e3) = e0
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4885) implies:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | (4886) op(e3, e3) = e0
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4863), (4886), (function-axioms) are
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1832.
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | (4887) ~ (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4887) implies:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | (4888) ~ (all_57_25 = e3)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | (4889) op(e3, e0) = all_57_25
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (3321), (4874)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | (4890) all_57_31 = e3
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | all_57_18, e3, e0, simplifying with (159), (4875)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | (4891) all_57_18 = all_52_3
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | all_57_29, e0, e1, simplifying with (160), (4884)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | (4892) all_57_29 = all_52_14
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | all_57_25, e0, e3, simplifying with (168), (4889)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | (4893) all_57_25 = all_52_12
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4883), (4892) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | (4894) ~ (all_52_14 = e1)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4877), (4891) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | (4895) op(e0, all_52_3) = e3
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4876), (4890) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | (4896) op(e0, e3) = e0
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | (4897) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4897) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | (4898) all_56_6 = e1 & op(e1, e3) = e1
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4898) implies:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | (4899) op(e1, e3) = e1
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4857), (4899), (function-axioms) are
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1069.
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | (4900) all_56_7 = e1 & op(e1, e2) = e1
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4900) implies:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | (4901) all_56_7 = e1
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | (4902) op(e1, e2) = e1
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | (4903) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4903) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | (4904) all_56_9 = e1 & op(e3, e0) = e1
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4904) implies:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | (4905) op(e3, e0) = e1
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4860), (4905), (function-axioms) are
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1848.
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | (4906) all_56_10 = e1 & op(e2, e0) = e1
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4906) implies:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | (4907) all_56_10 = e1
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | (4908) op(e2, e0) = e1
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (4896) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | (4909) all_52_3 = e0
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (4902) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | (4910) all_52_6 = e1
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (164), (4908) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | (4911) all_52_13 = e1
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (4909) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | (4912) ~ (all_52_2 = e0)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (4909) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | (4913) ~ (all_52_7 = e0)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4913) implies:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | (4914) ~ (all_52_7 = e0)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (4909) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | (4915) ~ (all_52_11 = e0)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4915) implies:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | (4916) ~ (all_52_11 = e0)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3309), (4909) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | (4917) ~ (e3 = e0)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4858), (4909) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | (4918) ~ (e1 = e0)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (4910) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | (4919) ~ (all_52_7 = e1)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4919) implies:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | (4920) ~ (all_52_7 = e1)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (4911) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | (4921) ~ (all_52_9 = e1)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (4911) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | (4922) ~ (all_52_14 = e1)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (4923) all_54_8 = e3
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (4837), (4923) are inconsistent by
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #920.
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (4924) ~ (all_54_8 = e3)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (4925) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4926) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4926) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4927) all_56_1 = e0 & op(e3, e2) = e0
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4832), (4927) are inconsistent by sub-proof
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1724.
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4928) all_56_3 = e0 & op(e2, e2) = e0
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4928) implies:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4929) op(e2, e2) = e0
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4930) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (4859), (4921), (4930),
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #932.
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4931) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4931) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4932) all_56_8 = e1 & op(e1, e1) = e1
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4932) implies:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4933) op(e1, e1) = e1
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4825), (4933), (function-axioms) are
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1875.
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4934) all_56_14 = e1 & op(e0, e1) = e1
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4934) implies:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4935) op(e0, e1) = e1
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4925) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4936) all_54_8 = e2
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (4936) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4937) all_52_2 = e2
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4937) implies:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4938) all_52_2 = e2
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (4938) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4939) ~ (all_52_14 = e2)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4939) implies:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4940) ~ (all_52_14 = e2)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4837), (4938) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4941) ~ (e3 = e2)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4942) ~ (all_26_2 = e1)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4855), (4942) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4943) $false
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4943) is inconsistent.
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4944) ( ~ (all_26_0 = e2) & op(all_26_1, all_26_1) =
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_0 & op(e1, e3) = all_26_1 & $i(all_26_0)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_26_1)) | ( ~ (all_26_1 = e0) & op(e1,
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_26_1 & $i(all_26_1))
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4945) ~ (all_42_2 = e1)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4856), (4945) imply:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4946) $false
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4946) is inconsistent.
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4947) ( ~ (all_42_0 = e0) & op(all_42_1, all_42_1) =
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0 & op(e1, e3) = all_42_1 & $i(all_42_0)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_42_1)) | ( ~ (all_42_1 = e2) & op(e1,
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_42_1 & $i(all_42_1))
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4948) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (163), (4902), (4912), (4948),
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #919.
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4949) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4949) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4950) all_56_8 = e0 & op(e1, e1) = e0
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4950) implies:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4951) op(e1, e1) = e0
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4825), (4951), (function-axioms) are
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1771.
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4952) all_56_11 = e0 & op(e1, e0) = e0
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4952) implies:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4953) all_56_11 = e0
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4954) all_54_11 = e3
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (3314), (4954) are inconsistent by
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1184.
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4955) ~ (all_54_11 = e3)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4956) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4956) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4957) all_54_11 = e2
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (4940), (4957) are inconsistent by
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1708.
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4958) all_54_11 = e1 | all_54_11 = e0
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4959) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4959) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4960) all_56_6 = e2 & op(e1, e3) = e2
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4960) implies:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4961) all_56_6 = e2
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4962) op(e1, e3) = e2
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4963) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 245.17/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (4829), (4929), (4963),
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #917.
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4964) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4964) gives:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4965) all_56_5 = e2 & op(e2, e1) = e2
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4965) implies:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4966) op(e2, e1) = e2
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4944) gives:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4967) ~ (all_26_0 = e2) & op(all_26_1, all_26_1) =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_0 & op(e1, e3) = all_26_1 & $i(all_26_0) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4967) implies:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4968) op(e1, e3) = all_26_1
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4969) op(all_26_1, all_26_1) = all_26_0
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4958) gives:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4970) all_54_11 = e1
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (4894), (4970) are inconsistent by
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1041.
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4971) all_54_11 = e0
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (4971) imply:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4972) all_52_14 = e0
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4972) implies:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4973) all_52_14 = e0
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (4973) imply:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4974) ~ (all_52_12 = e0)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4975) all_54_3 = e3
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (4975) imply:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4976) all_52_12 = e3
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3312), (4976) imply:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4977) $false
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4977) is inconsistent.
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4978) ~ (all_54_3 = e3)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4979) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4979) gives:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4980) all_54_3 = e2
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (4980) imply:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4981) all_52_12 = e2
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (4981) imply:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4982) op(e3, e0) = e2
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4983) ~ (all_48_2 = e3)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3308), (4983) imply:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4984) $false
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4984) is inconsistent.
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4985) ( ~ (all_48_0 = e1) & op(all_48_1, all_48_1) =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0 & op(e3, e0) = all_48_1 & $i(all_48_0)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_48_1)) | ( ~ (all_48_1 = e2) & op(e3,
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_48_1 & $i(all_48_1))
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4985) gives:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4986) ~ (all_48_0 = e1) & op(all_48_1, all_48_1) =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0 & op(e3, e0) = all_48_1 & $i(all_48_0) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4986) implies:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4987) op(e3, e0) = all_48_1
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4988) op(all_48_1, all_48_1) = all_48_0
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4989) all_54_13 = e3
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (3310), (4989) are inconsistent by
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1502.
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4990) ~ (all_54_13 = e3)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4991) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3306) gives:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4992) ~ (all_18_0 = e2) & op(all_18_1, all_18_1) =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_18_0 & op(e3, e0) = all_18_1 & $i(all_18_0) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4992) implies:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4993) op(e3, e0) = all_18_1
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4994) op(all_18_1, all_18_1) = all_18_0
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4995) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (3321), (4829), (4833), (4896),
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4902), (4966), (4995), (function-axioms) are
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #914.
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4996) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4996) gives:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4997) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4997) gives:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4998) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4998) gives:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4999) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4999) implies:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5000) op(e0, e0) = e1
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3321), (5000), (function-axioms) are
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5001) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5001) implies:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5002) op(e2, e2) = all_57_28
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5003) ~ (all_30_2 = e3)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4822), (5003) imply:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5004) $false
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5004) is inconsistent.
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_26_1,
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (4962), (4968) gives:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5005) all_26_1 = e2
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28, e2, e2, simplifying with (4929), (5002)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5006) all_57_28 = e0
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_1, e0, e3, simplifying with (4987), (4993)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5007) all_48_1 = all_18_1
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_48_1,
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (4982), (4987) gives:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5008) all_48_1 = e2
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5007), (5008) imply:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5009) all_18_1 = e2
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4988), (5008) imply:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5010) op(e2, e2) = all_48_0
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4969), (5005) imply:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5011) op(e2, e2) = all_26_0
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4994), (5009) imply:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5012) op(e2, e2) = all_18_0
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4947) gives:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5013) ~ (all_42_0 = e0) & op(all_42_1, all_42_1) =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0 & op(e1, e3) = all_42_1 & $i(all_42_0) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5013) implies:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5014) ~ (all_42_0 = e0)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5015) op(e1, e3) = all_42_1
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5016) op(all_42_1, all_42_1) = all_42_0
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_42_1,
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (4962), (5015) gives:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5017) all_42_1 = e2
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_48_0,
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (4929), (5010) gives:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5018) all_48_0 = e0
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_26_0,
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, e2, e2, simplifying with (5010), (5011)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5019) all_48_0 = all_26_0
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_0,
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, e2, e2, simplifying with (5010), (5012)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5020) all_48_0 = all_18_0
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5019), (5020) imply:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5021) all_26_0 = all_18_0
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5018), (5019) imply:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5022) all_26_0 = e0
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5021), (5022) imply:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5023) all_18_0 = e0
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5023) implies:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5024) all_18_0 = e0
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5012), (5014), (5016), (5017), (5024),
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #913.
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5025) ~ (all_42_1 = e2) & op(e1, e3) = all_42_1 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5025) implies:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5026) ~ (all_42_1 = e2)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5027) op(e1, e3) = all_42_1
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4962), (4968), (5026), (5027), (function-axioms)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1754.
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5028) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9), (36), (169), (239), (373), (3321),
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4825), (4842), (4863), (4902), (4929), (4966),
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5028), (function-axioms) are inconsistent by
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #912.
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5029) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (160), (373), (4833), (4863), (4890),
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4894), (4902), (4929), (4935), (4966), (5029),
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #911.
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5030) ~ (all_18_1 = e1) & op(e3, e0) = all_18_1 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5030) implies:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5031) op(e3, e0) = all_18_1
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4991) gives:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5032) all_54_13 = e2
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (5032) imply:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5033) all_52_7 = e2
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5033) implies:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5034) all_52_7 = e2
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (5034) imply:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5035) ~ (all_52_11 = e2)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5035) implies:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5036) ~ (all_52_11 = e2)
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5037) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (3321), (4829), (4833), (4896),
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4902), (4966), (5037), (function-axioms) are
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #914.
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5038) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5038) gives:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5039) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5039) gives:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5040) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5040) gives:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5041) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5041) implies:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5042) op(e0, e0) = e1
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3321), (5042), (function-axioms) are
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5043) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5043) implies:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5044) op(e2, e2) = all_57_28
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5045) all_54_14 = e3
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (3311), (5045) are inconsistent by
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1138.
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5046) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5046) gives:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5047) all_54_14 = e2
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (5036), (5047) are inconsistent by
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1788.
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5048) all_54_14 = e1 | all_54_14 = e0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5048) gives:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_26_1,
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (4962), (4968) gives:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5049) all_26_1 = e2
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28, e2, e2, simplifying with (4929), (5044)
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5050) all_57_28 = e0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_1, e0, e3, simplifying with (4987), (5031)
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5051) all_48_1 = all_18_1
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_48_1,
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (4982), (4987) gives:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5052) all_48_1 = e2
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5051), (5052) imply:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5053) all_18_1 = e2
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4988), (5052) imply:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5054) op(e2, e2) = all_48_0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4969), (5049) imply:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5055) op(e2, e2) = all_26_0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4947) gives:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5056) ~ (all_42_0 = e0) & op(all_42_1, all_42_1) =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0 & op(e1, e3) = all_42_1 & $i(all_42_0) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5056) implies:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5057) ~ (all_42_0 = e0)
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5058) op(e1, e3) = all_42_1
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5059) op(all_42_1, all_42_1) = all_42_0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_42_1,
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (4962), (5058) gives:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5060) all_42_1 = e2
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_48_0,
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (4929), (5054) gives:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5061) all_48_0 = e0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_26_0,
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, e2, e2, simplifying with (5054), (5055)
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5062) all_48_0 = all_26_0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5061), (5062) imply:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5063) all_26_0 = e0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5059), (5060) imply:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5064) op(e2, e2) = all_42_0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_42_0,
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (4929), (5064) gives:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5065) all_42_0 = e0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5057), (5065) imply:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5066) $false
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5066) is inconsistent.
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5067) ~ (all_42_1 = e2) & op(e1, e3) = all_42_1 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5067) implies:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5068) ~ (all_42_1 = e2)
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5069) op(e1, e3) = all_42_1
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4962), (4968), (5068), (5069), (function-axioms)
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1754.
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5070) all_54_14 = e0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (4916), (5070) are inconsistent by
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1786.
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5071) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9), (36), (169), (239), (373), (3321),
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4825), (4842), (4863), (4902), (4929), (4966),
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5071), (function-axioms) are inconsistent by
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #912.
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5072) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (160), (373), (4833), (4863), (4890),
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4894), (4902), (4929), (4935), (4966), (5072),
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #911.
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5073) all_54_13 = e1 | all_54_13 = e0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (4914), (4920), (5073) are inconsistent by
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1501.
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5074) ~ (all_48_1 = e2) & op(e3, e0) = all_48_1 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3306), (4982), (5074), (function-axioms) are
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #909.
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5075) all_54_3 = e1 | all_54_3 = e0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (4860), (4974), (5075) are inconsistent by
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1181.
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5076) ~ (all_26_1 = e0) & op(e1, e3) = all_26_1 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5076) implies:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5077) op(e1, e3) = all_26_1
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4958) gives:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5078) all_54_11 = e1
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (4894), (5078) are inconsistent by
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1041.
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5079) all_54_11 = e0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (5079) imply:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5080) all_52_14 = e0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5080) implies:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5081) all_52_14 = e0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (5081) imply:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5082) ~ (all_52_12 = e0)
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5083) all_54_3 = e3
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (5083) imply:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5084) all_52_12 = e3
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3312), (5084) imply:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5085) $false
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5085) is inconsistent.
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5086) ~ (all_54_3 = e3)
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5087) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5087) gives:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5088) all_54_3 = e2
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (5088) imply:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5089) all_52_12 = e2
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (5089) imply:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5090) op(e3, e0) = e2
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5091) ~ (all_48_2 = e3)
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3308), (5091) imply:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5092) $false
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5092) is inconsistent.
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5093) ( ~ (all_48_0 = e1) & op(all_48_1, all_48_1) =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0 & op(e3, e0) = all_48_1 & $i(all_48_0)
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_48_1)) | ( ~ (all_48_1 = e2) & op(e3,
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_48_1 & $i(all_48_1))
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5093) gives:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5094) ~ (all_48_0 = e1) & op(all_48_1, all_48_1) =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0 & op(e3, e0) = all_48_1 & $i(all_48_0) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5094) implies:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5095) op(e3, e0) = all_48_1
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5096) op(all_48_1, all_48_1) = all_48_0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5097) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5097) gives:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5098) all_56_4 = e0 & op(e3, e1) = e0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5098) implies:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5099) op(e3, e1) = e0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3306) gives:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5100) ~ (all_18_0 = e2) & op(all_18_1, all_18_1) =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_18_0 & op(e3, e0) = all_18_1 & $i(all_18_0) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5100) implies:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5101) op(e3, e0) = all_18_1
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5102) op(all_18_1, all_18_1) = all_18_0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5103) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (3321), (4829), (4833), (4896),
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4902), (4966), (5103), (function-axioms) are
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #914.
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5104) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5104) gives:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5105) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5105) gives:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5106) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5106) gives:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5107) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5107) implies:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5108) op(e0, e0) = e1
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3321), (5108), (function-axioms) are
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5109) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5109) implies:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5110) op(e2, e2) = all_57_28
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5111) ~ (all_30_2 = e3)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4822), (5111) imply:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5112) $false
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5112) is inconsistent.
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_26_1,
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (4962), (5077) gives:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5113) all_26_1 = e2
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28, e2, e2, simplifying with (4929), (5110)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5114) all_57_28 = e0
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_1, e0, e3, simplifying with (5095), (5101)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5115) all_48_1 = all_18_1
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_48_1,
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (5090), (5095) gives:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5116) all_48_1 = e2
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5115), (5116) imply:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5117) all_18_1 = e2
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5096), (5116) imply:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5118) op(e2, e2) = all_48_0
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5102), (5117) imply:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5119) op(e2, e2) = all_18_0
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4947) gives:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5120) ~ (all_42_0 = e0) & op(all_42_1, all_42_1) =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0 & op(e1, e3) = all_42_1 & $i(all_42_0) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5120) implies:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5121) ~ (all_42_0 = e0)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5122) op(e1, e3) = all_42_1
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5123) op(all_42_1, all_42_1) = all_42_0
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_42_1,
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (4962), (5122) gives:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5124) all_42_1 = e2
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_48_0,
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (4929), (5118) gives:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5125) all_48_0 = e0
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_0,
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, e2, e2, simplifying with (5118), (5119)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5126) all_48_0 = all_18_0
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5125), (5126) imply:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5127) all_18_0 = e0
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5119), (5121), (5123), (5124), (5127),
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #913.
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5128) ~ (all_42_1 = e2) & op(e1, e3) = all_42_1 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5128) implies:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5129) ~ (all_42_1 = e2)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5130) op(e1, e3) = all_42_1
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4962), (5077), (5129), (5130), (function-axioms)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1754.
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5131) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9), (36), (169), (239), (373), (3321),
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4825), (4842), (4863), (4902), (4929), (4966),
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5131), (function-axioms) are inconsistent by
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #912.
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5132) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (160), (373), (4833), (4863), (4890),
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4894), (4902), (4929), (4935), (4966), (5132),
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #911.
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5133) ~ (all_18_1 = e1) & op(e3, e0) = all_18_1 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5133) implies:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5134) op(e3, e0) = all_18_1
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5135) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (3321), (4829), (4833), (4896),
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4902), (4966), (5135), (function-axioms) are
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #914.
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5136) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5136) gives:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5137) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5137) gives:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5138) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5138) gives:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5139) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5139) implies:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5140) op(e0, e0) = e1
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3321), (5140), (function-axioms) are
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5141) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5141) implies:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5142) op(e2, e2) = all_57_28
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4819) gives:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_26_1,
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (4962), (5077) gives:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5143) all_26_1 = e2
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28, e2, e2, simplifying with (4929), (5142)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5144) all_57_28 = e0
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_1, e0, e3, simplifying with (5095), (5134)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5145) all_48_1 = all_18_1
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_48_1,
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (5090), (5095) gives:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5146) all_48_1 = e2
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5145), (5146) imply:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5147) all_18_1 = e2
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5096), (5146) imply:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5148) op(e2, e2) = all_48_0
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4947) gives:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5149) ~ (all_42_0 = e0) & op(all_42_1, all_42_1) =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0 & op(e1, e3) = all_42_1 & $i(all_42_0) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5149) implies:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5150) ~ (all_42_0 = e0)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5151) op(e1, e3) = all_42_1
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5152) op(all_42_1, all_42_1) = all_42_0
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_42_1,
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (4962), (5151) gives:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5153) all_42_1 = e2
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_48_0,
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (4929), (5148) gives:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5154) all_48_0 = e0
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5152), (5153) imply:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5155) op(e2, e2) = all_42_0
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_42_0,
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (4929), (5155) gives:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5156) all_42_0 = e0
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5150), (5156) imply:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5157) $false
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5157) is inconsistent.
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5158) ~ (all_42_1 = e2) & op(e1, e3) = all_42_1 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5158) implies:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5159) ~ (all_42_1 = e2)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5160) op(e1, e3) = all_42_1
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4962), (5077), (5159), (5160), (function-axioms)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1754.
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5161) ~ (all_20_1 = e0) & op(e3, e1) = all_20_1 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5161) implies:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5162) ~ (all_20_1 = e0)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5163) op(e3, e1) = all_20_1
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5099), (5162), (5163), (function-axioms) are
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1237.
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5164) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9), (36), (169), (239), (373), (3321),
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4825), (4842), (4863), (4902), (4929), (4966),
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5164), (function-axioms) are inconsistent by
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #912.
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5165) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (160), (373), (4833), (4863), (4890),
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4894), (4902), (4929), (4935), (4966), (5165),
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #911.
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5166) all_56_5 = e0 & op(e2, e1) = e0
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5166) implies:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5167) all_56_5 = e0
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (223), (224),
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (4907), (4929), (5167), (function-axioms)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1053.
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5168) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5168) gives:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5169) all_56_8 = e0 & op(e1, e1) = e0
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5169) implies:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5170) op(e1, e1) = e0
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (214), (216), (4953),
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4961), (5170), (function-axioms) are inconsistent
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1335.
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5171) all_56_14 = e0 & op(e0, e1) = e0
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5171) implies:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5172) op(e0, e1) = e0
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4935), (5172), (function-axioms) are
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1678.
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5173) ~ (all_48_1 = e2) & op(e3, e0) = all_48_1 &
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3306), (5090), (5173), (function-axioms) are
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #909.
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5174) all_54_3 = e1 | all_54_3 = e0
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (4860), (5082), (5174) are inconsistent by
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1181.
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5175) all_56_10 = e2 & op(e2, e0) = e2
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (215), (216),
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4825), (4901), (4907), (4961), (5175),
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1173.
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5176) all_56_7 = e2 & op(e1, e2) = e2
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4901), (5176) are inconsistent by sub-proof
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1388.
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5177) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (4825), (4953), (5177),
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1767.
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5178) all_54_8 = e1 | all_54_8 = e0
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (4857), (4912), (5178) are inconsistent by
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1029.
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5179) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5179) gives:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5180) all_56_7 = e0 & op(e1, e2) = e0
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5180) implies:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5181) op(e1, e2) = e0
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4902), (5181), (function-axioms) are
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1719.
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5182) all_56_13 = e0 & op(e0, e2) = e0
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5182) implies:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5183) all_56_13 = e0
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5184) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (4859), (4921), (5184),
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #932.
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5185) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5185) gives:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5186) all_56_8 = e1 & op(e1, e1) = e1
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5186) implies:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5187) op(e1, e1) = e1
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4825), (5187), (function-axioms) are
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1875.
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5188) all_56_14 = e1 & op(e0, e1) = e1
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5188) implies:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5189) all_56_14 = e1
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5190) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (163), (4902), (4912), (5190),
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #919.
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5191) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5191) gives:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5192) all_56_8 = e0 & op(e1, e1) = e0
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5192) implies:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5193) op(e1, e1) = e0
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4825), (5193), (function-axioms) are
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1771.
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5194) all_56_11 = e0 & op(e1, e0) = e0
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5194) implies:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5195) all_56_11 = e0
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5196) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5196) gives:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5197) all_56_6 = e2 & op(e1, e3) = e2
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5197) implies:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5198) all_56_6 = e2
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5199) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (4828), (4863), (5199),
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1440.
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5200) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5200) gives:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5201) all_56_6 = e0 & op(e1, e3) = e0
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5201) implies:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5202) op(e1, e3) = e0
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4912), (5202), (function-axioms) are
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1444.
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5203) all_56_12 = e0 & op(e0, e3) = e0
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5203) implies:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5204) all_56_12 = e0
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5205) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5205) gives:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5206) all_56_12 = e2 & op(e0, e3) = e2
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5206) implies:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5207) all_56_12 = e2
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5204), (5207) are inconsistent by sub-proof
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1647.
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5208) all_56_13 = e2 & op(e0, e2) = e2
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5208) implies:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5209) all_56_13 = e2
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5183), (5209) are inconsistent by sub-proof
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1165.
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5210) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5210) gives:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5211) all_56_14 = e2 & op(e0, e1) = e2
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5211) implies:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5212) all_56_14 = e2
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5189), (5212) imply:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5213) e2 = e1
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5213) implies:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5214) e2 = e1
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5198), (5214) imply:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5215) all_56_6 = e1
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (215), (216),
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4825), (4901), (5215), (function-axioms) are
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1178.
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5216) all_56_15 = e2 & op(e0, e0) = e2
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5216) implies:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5217) op(e0, e0) = e2
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3321), (5217), (function-axioms) are
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1063.
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5218) all_56_7 = e2 & op(e1, e2) = e2
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4901), (5218) are inconsistent by sub-proof
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1388.
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5219) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (4825), (5195), (5219),
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1767.
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | (5220) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (3321), (4894), (5220),
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | | #1024.
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | (5221) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (4825), (4894), (5221),
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | | #1129.
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | (5222) all_54_0 = e0
% 245.17/42.36 | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (5222) are inconsistent by sub-proof
% 245.17/42.36 | | | | | | | | | | | | | | | | | #908.
% 245.17/42.36 | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | (5223) all_56_3 = e3 & op(e2, e2) = e3
% 245.17/42.36 | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | ALPHA: (5223) implies:
% 245.17/42.36 | | | | | | | | | | | | | | (5224) op(e2, e2) = e3
% 245.17/42.36 | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (5224), (function-axioms) are
% 245.17/42.36 | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 245.17/42.36 | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | (5225) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 245.17/42.36 | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 245.17/42.36 | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | BETA: splitting (5225) gives:
% 245.17/42.36 | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | Case 1:
% 245.17/42.36 | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | (5226) all_56_7 = e3 & op(e1, e2) = e3
% 245.17/42.36 | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | ALPHA: (5226) implies:
% 245.17/42.36 | | | | | | | | | | | | | | (5227) op(e1, e2) = e3
% 245.17/42.36 | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | REF_CLOSE: (162), (4823), (5227), (function-axioms) are
% 245.17/42.36 | | | | | | | | | | | | | | inconsistent by sub-proof #1702.
% 245.17/42.36 | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | (5228) all_56_13 = e3 & op(e0, e2) = e3
% 245.17/42.36 | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | ALPHA: (5228) implies:
% 245.17/42.36 | | | | | | | | | | | | | | (5229) op(e0, e2) = e3
% 245.17/42.36 | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e3,
% 245.17/42.36 | | | | | | | | | | | | | | e2, e0, simplifying with (158), (5229) gives:
% 245.17/42.36 | | | | | | | | | | | | | | (5230) all_52_7 = e3
% 245.17/42.36 | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | REDUCE: (3310), (5230) imply:
% 245.17/42.36 | | | | | | | | | | | | | | (5231) $false
% 245.17/42.36 | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | CLOSE: (5231) is inconsistent.
% 245.17/42.36 | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | (5232) all_56_3 = e3 & op(e2, e2) = e3
% 245.17/42.36 | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | ALPHA: (5232) implies:
% 245.17/42.36 | | | | | | | | | | | | (5233) op(e2, e2) = e3
% 245.17/42.36 | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | REF_CLOSE: (36), (373), (5233), (function-axioms) are
% 245.17/42.36 | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 245.17/42.36 | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | (5234) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 245.17/42.36 | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 245.17/42.36 | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | REF_CLOSE: (164), (165), (3313), (4824), (5234),
% 245.17/42.36 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.36 | | | | | | | | | | | #907.
% 245.17/42.36 | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | End of split
% 245.17/42.36 | | | | | | | | |
% 245.17/42.36 | | | | | | | | End of split
% 245.17/42.36 | | | | | | | |
% 245.17/42.36 | | | | | | | End of split
% 245.17/42.36 | | | | | | |
% 245.17/42.36 | | | | | | End of split
% 245.17/42.36 | | | | | |
% 245.17/42.36 | | | | | Case 2:
% 245.17/42.36 | | | | | |
% 245.17/42.36 | | | | | | (5235) all_14_2 = e1
% 245.17/42.36 | | | | | | (5236) ( ~ (all_14_0 = e3) & op(all_14_1, all_14_1) = all_14_0 &
% 245.17/42.36 | | | | | | op(e1, e0) = all_14_1 & $i(all_14_0) & $i(all_14_1)) | (
% 245.17/42.36 | | | | | | ~ (all_14_1 = e2) & op(e1, e0) = all_14_1 &
% 245.17/42.36 | | | | | | $i(all_14_1))
% 245.17/42.36 | | | | | |
% 245.17/42.36 | | | | | | COMBINE_EQS: (327), (5235) imply:
% 245.17/42.36 | | | | | | (5237) all_16_2 = e1
% 245.17/42.36 | | | | | |
% 245.17/42.36 | | | | | | REDUCE: (351), (5235) imply:
% 245.17/42.36 | | | | | | (5238) ~ (all_52_3 = e1)
% 245.17/42.36 | | | | | |
% 245.17/42.36 | | | | | | REDUCE: (362), (5235) imply:
% 245.17/42.36 | | | | | | (5239) ~ (all_52_7 = e1)
% 245.17/42.36 | | | | | |
% 245.17/42.36 | | | | | | REDUCE: (369), (5235) imply:
% 245.17/42.36 | | | | | | (5240) ~ (all_52_11 = e1)
% 245.17/42.36 | | | | | |
% 245.17/42.36 | | | | | | REDUCE: (370), (5235) imply:
% 245.17/42.36 | | | | | | (5241) ~ (all_52_12 = e1)
% 245.17/42.36 | | | | | |
% 245.17/42.36 | | | | | | REDUCE: (371), (5235) imply:
% 245.17/42.36 | | | | | | (5242) ~ (all_52_13 = e1)
% 245.17/42.36 | | | | | |
% 245.17/42.36 | | | | | | REDUCE: (372), (5235) imply:
% 245.17/42.36 | | | | | | (5243) ~ (all_52_14 = e1)
% 245.17/42.36 | | | | | |
% 245.17/42.36 | | | | | | BETA: splitting (207) gives:
% 245.17/42.36 | | | | | |
% 245.17/42.36 | | | | | | Case 1:
% 245.17/42.36 | | | | | | |
% 245.17/42.36 | | | | | | | (5244) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 &
% 245.17/42.36 | | | | | | | op(e0, e2) = e1)
% 245.17/42.36 | | | | | | |
% 245.17/42.36 | | | | | | | REF_CLOSE: (158), (159), (5238), (5239), (5244), (function-axioms)
% 245.17/42.36 | | | | | | | are inconsistent by sub-proof #1377.
% 245.17/42.36 | | | | | | |
% 245.17/42.36 | | | | | | Case 2:
% 245.17/42.36 | | | | | | |
% 245.17/42.36 | | | | | | | (5245) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 &
% 245.17/42.36 | | | | | | | op(e0, e0) = e1)
% 245.17/42.36 | | | | | | |
% 245.17/42.36 | | | | | | | BETA: splitting (5245) gives:
% 245.17/42.36 | | | | | | |
% 245.17/42.36 | | | | | | | Case 1:
% 245.17/42.36 | | | | | | | |
% 245.17/42.36 | | | | | | | | (5246) all_56_14 = e1 & op(e0, e1) = e1
% 245.17/42.36 | | | | | | | |
% 245.17/42.36 | | | | | | | | ALPHA: (5246) implies:
% 245.17/42.36 | | | | | | | | (5247) op(e0, e1) = e1
% 245.17/42.36 | | | | | | | |
% 245.17/42.36 | | | | | | | | REF_CLOSE: (157), (5240), (5247), (function-axioms) are
% 245.17/42.36 | | | | | | | | inconsistent by sub-proof #1700.
% 245.17/42.36 | | | | | | | |
% 245.17/42.36 | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | |
% 245.17/42.36 | | | | | | | | (5248) all_56_15 = e1 & op(e0, e0) = e1
% 245.17/42.36 | | | | | | | |
% 245.17/42.36 | | | | | | | | ALPHA: (5248) implies:
% 245.17/42.36 | | | | | | | | (5249) all_56_15 = e1
% 245.17/42.36 | | | | | | | | (5250) op(e0, e0) = e1
% 245.17/42.36 | | | | | | | |
% 245.17/42.36 | | | | | | | | BETA: splitting (55) gives:
% 245.17/42.36 | | | | | | | |
% 245.17/42.36 | | | | | | | | Case 1:
% 245.17/42.36 | | | | | | | | |
% 245.17/42.36 | | | | | | | | | (5251) ~ (all_16_2 = e1)
% 245.17/42.36 | | | | | | | | |
% 245.17/42.36 | | | | | | | | | REDUCE: (5237), (5251) imply:
% 245.17/42.36 | | | | | | | | | (5252) $false
% 245.17/42.36 | | | | | | | | |
% 245.17/42.36 | | | | | | | | | CLOSE: (5252) is inconsistent.
% 245.17/42.36 | | | | | | | | |
% 245.17/42.36 | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | |
% 245.17/42.36 | | | | | | | | | (5253) ( ~ (all_16_0 = e2) & op(all_16_1, all_16_1) =
% 245.17/42.36 | | | | | | | | | all_16_0 & op(e1, e0) = all_16_1 & $i(all_16_0) &
% 245.17/42.36 | | | | | | | | | $i(all_16_1)) | ( ~ (all_16_1 = e3) & op(e1, e0) =
% 245.17/42.36 | | | | | | | | | all_16_1 & $i(all_16_1))
% 245.17/42.36 | | | | | | | | |
% 245.17/42.36 | | | | | | | | | BETA: splitting (61) gives:
% 245.17/42.36 | | | | | | | | |
% 245.17/42.36 | | | | | | | | | Case 1:
% 245.17/42.36 | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | (5254) ~ (all_20_2 = e3)
% 245.17/42.36 | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | REDUCE: (325), (5254) imply:
% 245.17/42.36 | | | | | | | | | | (5255) ~ (all_10_2 = e3)
% 245.17/42.36 | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | BETA: splitting (64) gives:
% 245.17/42.36 | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | Case 1:
% 245.17/42.36 | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | (5256) ~ (all_22_2 = e0)
% 245.17/42.36 | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | REDUCE: (251), (5256) imply:
% 245.17/42.36 | | | | | | | | | | | (5257) ~ (all_10_2 = e0)
% 245.17/42.36 | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | BETA: splitting (194) gives:
% 245.17/42.36 | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | Case 1:
% 245.17/42.36 | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | (5258) all_54_10 = e3
% 245.17/42.36 | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | REF_CLOSE: (336), (5255), (5258) are inconsistent by
% 245.17/42.36 | | | | | | | | | | | | sub-proof #906.
% 245.17/42.36 | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | (5259) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 245.17/42.36 | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | BETA: splitting (5259) gives:
% 245.17/42.36 | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | Case 1:
% 245.17/42.36 | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | (5260) all_54_10 = e2
% 245.17/42.36 | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | REF_CLOSE: (336), (375), (5260) are inconsistent by sub-proof
% 245.17/42.36 | | | | | | | | | | | | | #905.
% 245.17/42.36 | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | (5261) ~ (all_54_10 = e2)
% 245.17/42.36 | | | | | | | | | | | | | (5262) all_54_10 = e1 | all_54_10 = e0
% 245.17/42.36 | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | BETA: splitting (5262) gives:
% 245.17/42.36 | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | Case 1:
% 245.17/42.36 | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | (5263) all_54_10 = e1
% 245.17/42.36 | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | COMBINE_EQS: (336), (5263) imply:
% 245.17/42.36 | | | | | | | | | | | | | | (5264) all_10_2 = e1
% 245.17/42.36 | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | SIMP: (5264) implies:
% 245.17/42.36 | | | | | | | | | | | | | | (5265) all_10_2 = e1
% 245.17/42.36 | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | REDUCE: (361), (5265) imply:
% 245.17/42.36 | | | | | | | | | | | | | | (5266) ~ (all_52_6 = e1)
% 245.17/42.36 | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | REDUCE: (363), (5265) imply:
% 245.17/42.36 | | | | | | | | | | | | | | (5267) ~ (all_52_8 = e1)
% 245.17/42.36 | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | REDUCE: (375), (5265) imply:
% 245.17/42.36 | | | | | | | | | | | | | | (5268) ~ (e2 = e1)
% 245.17/42.36 | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | REDUCE: (45), (5265) imply:
% 245.17/42.36 | | | | | | | | | | | | | | (5269) op(e1, e1) = e1
% 245.17/42.36 | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 245.17/42.36 | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | Case 1:
% 245.17/42.36 | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | (5270) ~ (all_24_2 = e1)
% 245.17/42.36 | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | REDUCE: (318), (5270) imply:
% 245.17/42.36 | | | | | | | | | | | | | | | (5271) ~ (all_4_2 = e1)
% 245.17/42.36 | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (36), (39), (123), (133), (134), (158),
% 245.17/42.36 | | | | | | | | | | | | | | | (160), (162), (165), (168), (169), (170), (202),
% 245.17/42.36 | | | | | | | | | | | | | | | (204), (226), (238), (239), (271), (279), (344),
% 245.17/42.36 | | | | | | | | | | | | | | | (346), (348), (352), (373), (374), (377), (5239),
% 245.17/42.36 | | | | | | | | | | | | | | | (5243), (5250), (5266), (5269), (5271),
% 245.17/42.36 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.17/42.36 | | | | | | | | | | | | | | | #895.
% 245.17/42.36 | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | Case 2:
% 245.17/42.36 | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | (5272) all_24_2 = e1
% 245.17/42.36 | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | COMBINE_EQS: (318), (5272) imply:
% 245.17/42.36 | | | | | | | | | | | | | | | (5273) all_4_2 = e1
% 245.17/42.36 | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | SIMP: (5273) implies:
% 245.17/42.36 | | | | | | | | | | | | | | | (5274) all_4_2 = e1
% 245.17/42.36 | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | REDUCE: (352), (5274) imply:
% 245.17/42.36 | | | | | | | | | | | | | | | (5275) ~ (all_52_4 = e1)
% 245.17/42.36 | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | REDUCE: (373), (5274) imply:
% 245.17/42.36 | | | | | | | | | | | | | | | (5276) ~ (e3 = e1)
% 245.17/42.36 | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | REDUCE: (36), (5274) imply:
% 245.17/42.36 | | | | | | | | | | | | | | | (5277) op(e2, e2) = e1
% 245.17/42.36 | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 245.17/42.36 | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | Case 1:
% 245.17/42.36 | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | (5278) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 245.17/42.36 | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 245.17/42.36 | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | BETA: splitting (5278) gives:
% 245.17/42.36 | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.36 | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | (5279) all_56_0 = e1 & op(e3, e3) = e1
% 245.17/42.36 | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | ALPHA: (5279) implies:
% 245.17/42.36 | | | | | | | | | | | | | | | | | (5280) op(e3, e3) = e1
% 245.17/42.36 | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2, e1,
% 245.17/42.36 | | | | | | | | | | | | | | | | | e3, e3, simplifying with (39), (5280) gives:
% 245.17/42.36 | | | | | | | | | | | | | | | | | (5281) all_6_2 = e1
% 245.17/42.36 | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 245.17/42.36 | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.36 | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | (5282) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.17/42.36 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.17/42.36 | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.17/42.36 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 245.17/42.36 | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.17/42.36 | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 245.17/42.36 | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 245.17/42.36 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 245.17/42.36 | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 245.17/42.36 | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 245.17/42.36 | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 245.17/42.36 | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 245.17/42.36 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 245.17/42.36 | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 245.17/42.36 | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 245.17/42.36 | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.17/42.36 | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 245.17/42.36 | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 245.17/42.36 | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | BETA: splitting (5282) gives:
% 245.17/42.36 | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | Case 1:
% 245.17/42.36 | | | | | | | | | | | | | | | | | | |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | (5283) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 245.17/42.36 | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 245.17/42.36 | | | | | | | | | | | | | | | | | | |
% 245.48/42.36 | | | | | | | | | | | | | | | | | | | BETA: splitting (5283) gives:
% 245.48/42.36 | | | | | | | | | | | | | | | | | | |
% 245.48/42.36 | | | | | | | | | | | | | | | | | | | Case 1:
% 245.48/42.36 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.36 | | | | | | | | | | | | | | | | | | | | (5284) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.48/42.36 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.48/42.36 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.48/42.36 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.48/42.36 | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.48/42.36 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.48/42.36 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.48/42.36 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.48/42.36 | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 245.48/42.36 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.36 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5250), (5269), (5284), (function-axioms) are
% 245.48/42.36 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #904.
% 245.48/42.36 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.36 | | | | | | | | | | | | | | | | | | | Case 2:
% 245.48/42.36 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | (5285) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5250), (5277), (5285), (function-axioms) are
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #943.
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | End of split
% 245.48/42.37 | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | Case 2:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | (5286) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 245.48/42.37 | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | BETA: splitting (5286) gives:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | Case 1:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | (5287) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5250), (5269), (5287), (function-axioms) are
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #902.
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | Case 2:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | (5288) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5288) gives:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | (5289) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5289) implies:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | (5290) op(e3, e3) = e2
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5280), (5290), (function-axioms) are
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | (5291) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5291) gives:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | (5292) all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_30)
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5292) implies:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | (5293) op(e0, e0) = e2
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5250), (5293), (function-axioms) are
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | (5294) all_57_22 = e3 & all_57_28 = e1 & ~ (all_57_23 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & $i(all_57_23) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5294) implies:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | (5295) ~ (all_57_26 = e1)
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | (5296) op(e3, e3) = all_57_26
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5280), (5295), (5296), (function-axioms) are
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1458.
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | End of split
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | End of split
% 245.48/42.37 | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | End of split
% 245.48/42.37 | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | Case 2:
% 245.48/42.37 | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | (5297) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 245.48/42.37 | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 245.48/42.37 | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 245.48/42.37 | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 245.48/42.37 | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 245.48/42.37 | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 245.48/42.37 | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 245.48/42.37 | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 245.48/42.37 | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 245.48/42.37 | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.48/42.37 | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | BETA: splitting (5297) gives:
% 245.48/42.37 | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | Case 1:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | (5298) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 245.48/42.37 | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | BETA: splitting (5298) gives:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | Case 1:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | (5299) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5299) gives:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | (5300) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5300) implies:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | (5301) ~ (all_57_26 = e1)
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | (5302) op(e3, e3) = all_57_26
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5280), (5301), (5302), (function-axioms) are
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1458.
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | (5303) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5303) implies:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | (5304) ~ (all_57_28 = e1)
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | (5305) op(e2, e2) = all_57_28
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5277), (5304), (5305), (function-axioms) are
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1457.
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | End of split
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | Case 2:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | (5306) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5306) gives:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | (5307) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5307) implies:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | (5308) ~ (all_57_28 = e1)
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | (5309) op(e2, e2) = all_57_28
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5277), (5308), (5309), (function-axioms) are
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1457.
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | (5310) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5269), (5277), (5310), (function-axioms) are
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1539.
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | End of split
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | End of split
% 245.48/42.37 | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | Case 2:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | (5311) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.48/42.37 | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | BETA: splitting (5311) gives:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | Case 1:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | (5312) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5280), (5312), (function-axioms) are
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1831.
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | Case 2:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | (5313) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5313) gives:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | (5314) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5314) implies:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | (5315) op(e1, e1) = e0
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5269), (5315), (function-axioms) are
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1857.
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | (5316) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5316) gives:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | (5317) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5317) implies:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | (5318) op(e1, e0) = e1
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (5243), (5318), (function-axioms) are
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1856.
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | (5319) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5319) implies:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | (5320) op(e0, e0) = all_57_31
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | (5321) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (5250), (5320)
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | gives:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | (5322) all_57_31 = e1
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5321) gives:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | (5323) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5323) gives:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | | (5324) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5324) implies:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | | (5325) ~ (all_57_31 = e3)
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | | (5326) op(e2, e2) = e3
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5277), (5326), (function-axioms) are
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.48/42.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.37 | | | | | | | | | | | | | | | | | | | | | | | | (5327) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 245.52/42.37 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 245.52/42.37 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 245.52/42.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 245.52/42.37 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.52/42.37 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.52/42.37 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 245.52/42.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.37 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5327) gives:
% 245.52/42.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.37 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.37 | | | | | | | | | | | | | | | | | | | | | | | | | (5328) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 245.52/42.37 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 245.52/42.37 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 245.52/42.37 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 245.52/42.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.37 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5328) implies:
% 245.52/42.37 | | | | | | | | | | | | | | | | | | | | | | | | | (5329) ~ (all_57_31 = e3)
% 245.52/42.37 | | | | | | | | | | | | | | | | | | | | | | | | | (5330) op(e1, e1) = e3
% 245.52/42.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.37 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5269), (5330), (function-axioms) are
% 245.52/42.37 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1875.
% 245.52/42.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.37 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | (5331) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5331) implies:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | (5332) op(e3, e3) = e2
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5280), (5332), (function-axioms) are
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | (5333) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5333) gives:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | (5334) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5334) implies:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | (5335) op(e1, e1) = e2
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5269), (5335), (function-axioms) are
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | (5336) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5336) gives:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | (5337) all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5337) implies:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | (5338) ~ (all_57_31 = e1)
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5322), (5338) imply:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | (5339) $false
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5339) is inconsistent.
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | (5340) all_57_24 = e0 & all_57_28 = e1 & ~ (all_57_23 =
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e1) & op(e2, e2) = e1 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & op(e0, e1) = e0 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5340) implies:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | (5341) ~ (all_57_31 = e1)
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5322), (5341) imply:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | (5342) $false
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5342) is inconsistent.
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | (5343) all_56_1 = e1 & op(e3, e2) = e1
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | ALPHA: (5343) implies:
% 245.52/42.38 | | | | | | | | | | | | | | | | | (5344) op(e3, e2) = e1
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (5275), (5344), (function-axioms) are
% 245.52/42.38 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1616.
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | Case 2:
% 245.52/42.38 | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | (5345) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 245.52/42.38 | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 245.52/42.38 | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | BETA: splitting (5345) gives:
% 245.52/42.38 | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | (5346) all_56_4 = e1 & op(e3, e1) = e1
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | ALPHA: (5346) implies:
% 245.52/42.38 | | | | | | | | | | | | | | | | | (5347) op(e3, e1) = e1
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 245.52/42.38 | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (5347) gives:
% 245.52/42.38 | | | | | | | | | | | | | | | | | (5348) all_52_8 = e1
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | REDUCE: (5267), (5348) imply:
% 245.52/42.38 | | | | | | | | | | | | | | | | | (5349) $false
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | CLOSE: (5349) is inconsistent.
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | (5350) all_56_9 = e1 & op(e3, e0) = e1
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | ALPHA: (5350) implies:
% 245.52/42.38 | | | | | | | | | | | | | | | | | (5351) op(e3, e0) = e1
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 245.52/42.38 | | | | | | | | | | | | | | | | | e1, e0, e3, simplifying with (168), (5351) gives:
% 245.52/42.38 | | | | | | | | | | | | | | | | | (5352) all_52_12 = e1
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | REDUCE: (5241), (5352) imply:
% 245.52/42.38 | | | | | | | | | | | | | | | | | (5353) $false
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | CLOSE: (5353) is inconsistent.
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | Case 2:
% 245.52/42.38 | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | (5354) all_54_10 = e0
% 245.52/42.38 | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | REF_CLOSE: (336), (5257), (5354) are inconsistent by
% 245.52/42.38 | | | | | | | | | | | | | | sub-proof #894.
% 245.52/42.38 | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | Case 2:
% 245.52/42.38 | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | (5355) all_22_2 = e0
% 245.52/42.38 | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | COMBINE_EQS: (251), (5355) imply:
% 245.52/42.38 | | | | | | | | | | | (5356) all_10_2 = e0
% 245.52/42.38 | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | SIMP: (5356) implies:
% 245.52/42.38 | | | | | | | | | | | (5357) all_10_2 = e0
% 245.52/42.38 | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | REDUCE: (363), (5357) imply:
% 245.52/42.38 | | | | | | | | | | | (5358) ~ (all_52_8 = e0)
% 245.52/42.38 | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | REDUCE: (364), (5357) imply:
% 245.52/42.38 | | | | | | | | | | | (5359) ~ (all_52_9 = e0)
% 245.52/42.38 | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | REDUCE: (366), (5357) imply:
% 245.52/42.38 | | | | | | | | | | | (5360) ~ (all_52_11 = e0)
% 245.52/42.38 | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | REDUCE: (5255), (5357) imply:
% 245.52/42.38 | | | | | | | | | | | (5361) ~ (e3 = e0)
% 245.52/42.38 | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | REDUCE: (375), (5357) imply:
% 245.52/42.38 | | | | | | | | | | | (5362) ~ (e2 = e0)
% 245.52/42.38 | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | REDUCE: (45), (5357) imply:
% 245.52/42.38 | | | | | | | | | | | (5363) op(e1, e1) = e0
% 245.52/42.38 | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | BETA: splitting (67) gives:
% 245.52/42.38 | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | Case 1:
% 245.52/42.38 | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | (5364) ~ (all_24_2 = e1)
% 245.52/42.38 | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | REDUCE: (318), (5364) imply:
% 245.52/42.38 | | | | | | | | | | | | (5365) ~ (all_4_2 = e1)
% 245.52/42.38 | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | BETA: splitting (70) gives:
% 245.52/42.38 | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | Case 1:
% 245.52/42.38 | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | (5366) ~ (all_26_2 = e1)
% 245.52/42.38 | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | REDUCE: (307), (5366) imply:
% 245.52/42.38 | | | | | | | | | | | | | (5367) ~ (all_6_2 = e1)
% 245.52/42.38 | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | BETA: splitting (204) gives:
% 245.52/42.38 | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | Case 1:
% 245.52/42.38 | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | (5368) all_54_0 = e3
% 245.52/42.38 | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | COMBINE_EQS: (279), (5368) imply:
% 245.52/42.38 | | | | | | | | | | | | | | (5369) all_6_2 = e3
% 245.52/42.38 | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | SIMP: (5369) implies:
% 245.52/42.38 | | | | | | | | | | | | | | (5370) all_6_2 = e3
% 245.52/42.38 | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | REDUCE: (346), (5370) imply:
% 245.52/42.38 | | | | | | | | | | | | | | (5371) ~ (all_52_8 = e3)
% 245.52/42.38 | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | REDUCE: (348), (5370) imply:
% 245.52/42.38 | | | | | | | | | | | | | | (5372) ~ (all_52_12 = e3)
% 245.52/42.38 | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | REDUCE: (39), (5370) imply:
% 245.52/42.38 | | | | | | | | | | | | | | (5373) op(e3, e3) = e3
% 245.52/42.38 | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (79), (160), (164),
% 245.52/42.38 | | | | | | | | | | | | | | (165), (168), (169), (199), (214), (215), (216),
% 245.52/42.38 | | | | | | | | | | | | | | (222), (229), (238), (239), (268), (314), (358),
% 245.52/42.38 | | | | | | | | | | | | | | (360), (373), (5242), (5243), (5250), (5363),
% 245.52/42.38 | | | | | | | | | | | | | | (5365), (5371), (5372), (5373), (function-axioms)
% 245.52/42.38 | | | | | | | | | | | | | | are inconsistent by sub-proof #879.
% 245.52/42.38 | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | Case 2:
% 245.52/42.38 | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | (5374) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 245.52/42.38 | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (5367), (5374) are
% 245.52/42.38 | | | | | | | | | | | | | | inconsistent by sub-proof #1850.
% 245.52/42.38 | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | Case 2:
% 245.52/42.38 | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | (5375) all_26_2 = e1
% 245.52/42.38 | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | COMBINE_EQS: (307), (5375) imply:
% 245.52/42.38 | | | | | | | | | | | | | (5376) all_6_2 = e1
% 245.52/42.38 | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | SIMP: (5376) implies:
% 245.52/42.38 | | | | | | | | | | | | | (5377) all_6_2 = e1
% 245.52/42.38 | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | REDUCE: (344), (5377) imply:
% 245.52/42.38 | | | | | | | | | | | | | (5378) ~ (all_52_4 = e1)
% 245.52/42.38 | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | REDUCE: (346), (5377) imply:
% 245.52/42.38 | | | | | | | | | | | | | (5379) ~ (all_52_8 = e1)
% 245.52/42.38 | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | REDUCE: (377), (5377) imply:
% 245.52/42.38 | | | | | | | | | | | | | (5380) ~ (e2 = e1)
% 245.52/42.38 | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | REDUCE: (39), (5377) imply:
% 245.52/42.38 | | | | | | | | | | | | | (5381) op(e3, e3) = e1
% 245.52/42.38 | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | BETA: splitting (226) gives:
% 245.52/42.38 | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | Case 1:
% 245.52/42.38 | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | (5382) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 245.52/42.38 | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 245.52/42.38 | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (5365), (5378), (5382),
% 245.52/42.38 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.52/42.38 | | | | | | | | | | | | | | #1476.
% 245.52/42.38 | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | Case 2:
% 245.52/42.38 | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | (5383) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 245.52/42.38 | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 245.52/42.38 | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | BETA: splitting (5383) gives:
% 245.52/42.38 | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | Case 1:
% 245.52/42.38 | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | (5384) all_56_7 = e1 & op(e1, e2) = e1
% 245.52/42.38 | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | ALPHA: (5384) implies:
% 245.52/42.38 | | | | | | | | | | | | | | | (5385) all_56_7 = e1
% 245.52/42.38 | | | | | | | | | | | | | | | (5386) op(e1, e2) = e1
% 245.52/42.38 | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 245.52/42.38 | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | Case 1:
% 245.52/42.38 | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | (5387) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 245.52/42.38 | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 245.52/42.38 | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | BETA: splitting (5387) gives:
% 245.52/42.38 | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | (5388) all_56_4 = e1 & op(e3, e1) = e1
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5379), (5388), (function-axioms) are
% 245.52/42.38 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | (5389) all_56_5 = e1 & op(e2, e1) = e1
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | ALPHA: (5389) implies:
% 245.52/42.38 | | | | | | | | | | | | | | | | | (5390) all_56_5 = e1
% 245.52/42.38 | | | | | | | | | | | | | | | | | (5391) op(e2, e1) = e1
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 245.52/42.38 | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (5386) gives:
% 245.52/42.38 | | | | | | | | | | | | | | | | | (5392) all_52_6 = e1
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 245.52/42.38 | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (5391) gives:
% 245.52/42.38 | | | | | | | | | | | | | | | | | (5393) all_52_9 = e1
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | REDUCE: (126), (5392) imply:
% 245.52/42.38 | | | | | | | | | | | | | | | | | (5394) ~ (all_52_14 = e1)
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | REDUCE: (358), (5393) imply:
% 245.52/42.38 | | | | | | | | | | | | | | | | | (5395) ~ (all_4_2 = e1)
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 245.52/42.38 | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.38 | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | (5396) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 245.52/42.38 | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 245.52/42.38 | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 245.52/42.38 | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 245.52/42.38 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 245.52/42.38 | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 245.52/42.38 | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 245.52/42.38 | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 245.52/42.38 | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 245.52/42.38 | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 245.52/42.38 | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 245.52/42.38 | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 245.52/42.38 | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 245.52/42.38 | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 245.52/42.38 | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 245.52/42.38 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 245.52/42.38 | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 245.52/42.38 | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 245.52/42.38 | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | BETA: splitting (5396) gives:
% 245.52/42.38 | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | (5397) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | ((all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | $i(all_57_16))) & ((all_57_30 = e3 & op(e1,
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | e1) = e3) | ( ~ (all_57_17 = e1) & op(e1,
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | e3) = all_57_17 & $i(all_57_17))) &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | $i(all_57_18)))
% 245.52/42.38 | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | ALPHA: (5397) implies:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | (5398) op(e3, e1) = all_57_22
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | (5399) op(e3, e3) = all_57_26
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | (5400) op(e3, all_57_26) = e3
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | (5401) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | $i(all_57_18))
% 245.52/42.38 | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | BETA: splitting (5401) gives:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | (5402) all_57_31 = e3 & op(e0, e0) = e3
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | ALPHA: (5402) implies:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | (5403) op(e0, e0) = e3
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5250), (5403), (function-axioms) are
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | (5404) ~ (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | $i(all_57_18)
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | ALPHA: (5404) implies:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | (5405) ~ (all_57_18 = e0)
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | (5406) op(e0, e3) = all_57_18
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | all_57_18, e3, e0, simplifying with (159), (5406)
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | gives:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | (5407) all_57_18 = all_52_3
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | all_57_22, e1, e3, simplifying with (169), (5398)
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | gives:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | (5408) all_57_22 = all_52_8
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | all_57_26, e3, e3, simplifying with (5381), (5399)
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | gives:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | (5409) all_57_26 = e1
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | REDUCE: (5405), (5407) imply:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | (5410) ~ (all_52_3 = e0)
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | REDUCE: (5400), (5409) imply:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | (5411) op(e3, e1) = e3
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | (5412) all_56_15 = e0 & op(e0, e0) = e0
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5249), (5412) are inconsistent by sub-proof
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | #1564.
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | (5413) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5413) implies:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | (5414) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5414) gives:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | (5415) all_56_12 = e0 & op(e0, e3) = e0
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5415) implies:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | (5416) op(e0, e3) = e0
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (5410), (5416), (function-axioms) are
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1830.
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | (5417) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5417) gives:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | (5418) all_56_13 = e0 & op(e0, e2) = e0
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5418) implies:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | (5419) all_56_13 = e0
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | (5420) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5420) gives:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | (5421) all_56_1 = e3 & op(e3, e2) = e3
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5421) implies:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | (5422) all_56_1 = e3
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (5423) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (5381), (5422), (5423),
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | #878.
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (5424) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5424) gives:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5425) all_56_4 = e0 & op(e3, e1) = e0
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5425) implies:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5426) all_56_4 = e0
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (5363),
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5390), (5426), (function-axioms) are inconsistent
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1521.
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5427) all_56_9 = e0 & op(e3, e0) = e0
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5427) implies:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5428) all_56_9 = e0
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (169), (234), (5381), (5411),
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5422), (5428), (function-axioms) are inconsistent
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #876.
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | (5429) all_56_3 = e3 & op(e2, e2) = e3
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5429) implies:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | (5430) op(e2, e2) = e3
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (5430), (function-axioms) are
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | (5431) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5431) gives:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | (5432) all_56_7 = e3 & op(e1, e2) = e3
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5385), (5432) are inconsistent by sub-proof
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | #1389.
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | (5433) all_56_13 = e3 & op(e0, e2) = e3
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5433) implies:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | (5434) all_56_13 = e3
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5419), (5434) are inconsistent by sub-proof
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | | #1219.
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | (5435) all_56_14 = e0 & op(e0, e1) = e0
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5435) implies:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | (5436) op(e0, e1) = e0
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (5360), (5436), (function-axioms) are
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1826.
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | (5437) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | ((all_57_26 = e2 & op(e3, e3) = e2) | ( ~
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & op(e3, e2) = all_57_19 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | $i(all_57_19))) & ((all_57_30 = e2 & op(e1,
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_20 = e1) & op(e1,
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | e2) = all_57_20 & $i(all_57_20))) &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | ((all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | $i(all_57_21)))
% 245.52/42.38 | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | ALPHA: (5437) implies:
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | (5438) (all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | $i(all_57_20))
% 245.52/42.38 | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5363), (5386), (5438), (function-axioms) are
% 245.52/42.38 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1496.
% 245.52/42.38 | | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.38 | | | | | | | | | | | | | | | | | |
% 245.52/42.38 | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.38 | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | (5439) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 245.52/42.39 | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 245.52/42.39 | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 245.52/42.39 | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 245.52/42.39 | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 245.52/42.39 | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 245.52/42.39 | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 245.52/42.39 | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 245.52/42.39 | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 245.52/42.39 | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 245.52/42.39 | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | BETA: splitting (5439) gives:
% 245.52/42.39 | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | (5440) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 245.52/42.39 | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | ALPHA: (5440) implies:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | (5441) op(e1, e0) = all_57_29
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | (5442) op(e1, e1) = all_57_30
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | (5443) op(e1, all_57_30) = e1
% 245.52/42.39 | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | all_57_29, e0, e1, simplifying with (160), (5441)
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | gives:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | (5444) all_57_29 = all_52_14
% 245.52/42.39 | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5243), (5363), (5441), (5442), (5443), (5444),
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | #875.
% 245.52/42.39 | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | (5445) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 245.52/42.39 | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | ALPHA: (5445) implies:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | (5446) op(e0, e1) = all_57_24
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | (5447) op(e0, all_57_31) = e0
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | (5448) (all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | (5449) (all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | $i(all_57_25))
% 245.52/42.39 | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | BETA: splitting (5449) gives:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | (5450) all_57_26 = e0 & op(e3, e3) = e0
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | ALPHA: (5450) implies:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | (5451) op(e3, e3) = e0
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5381), (5451), (function-axioms) are
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1832.
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | (5452) ~ (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | $i(all_57_25)
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | ALPHA: (5452) implies:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | (5453) ~ (all_57_25 = e3)
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | (5454) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5454) gives:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | (5455) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5455) gives:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | (5456) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (5250), (5363), (5456),
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | #944.
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | (5457) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (373), (5250), (5457),
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | #903.
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | (5458) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (5250), (5365), (5381), (5386), (5458),
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | #873.
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | (5459) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5459) gives:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | (5460) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5460) gives:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | (5461) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5461) gives:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | (5462) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5462) implies:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | (5463) ~ (all_57_26 = e1)
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | (5464) op(e3, e3) = all_57_26
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5381), (5463), (5464), (function-axioms) are
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1458.
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | (5465) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5465) implies:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | (5466) op(e2, e1) = e2
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e1,
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (5391), (5466) gives:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | (5467) e2 = e1
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (5467) imply:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | (5468) $false
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5468) is inconsistent.
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | (5469) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5469) gives:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | (5470) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5470) implies:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | (5471) all_57_31 = e1
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | (5472) ~ (all_57_24 = e0)
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5447), (5471) imply:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | (5473) op(e0, e1) = e0
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5446), (5472), (5473), (function-axioms) are
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1712.
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | (5474) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5474) gives:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | (5475) all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5475) implies:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | (5476) all_57_25 = e3
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5453), (5476) imply:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | (5477) $false
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5477) is inconsistent.
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | (5478) all_57_25 = e3 & all_57_30 = e0 & ~ (all_57_26 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e3, e3) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_26) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5478) implies:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | (5479) all_57_25 = e3
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5453), (5479) imply:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | (5480) $false
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5480) is inconsistent.
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | (5481) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5481) gives:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | (5482) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5381), (5482), (function-axioms) are
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1831.
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | (5483) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5483) gives:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | (5484) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5484) implies:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | (5485) all_57_27 = e2
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | (5486) ~ (all_57_28 = e0)
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5448), (5485), (5486) are inconsistent by
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1510.
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | (5487) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5487) gives:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | (5488) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5488) implies:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | (5489) op(e1, e0) = e1
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (5243), (5489), (function-axioms) are
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1856.
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | (5490) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5490) implies:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | (5491) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5491) gives:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (5492) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (36), (373), (5363), (5381), (5492),
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | #1466.
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (5493) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5493) gives:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5494) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5494) implies:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5495) ~ (all_57_20 = e1)
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5496) op(e1, e2) = all_57_20
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5386), (5495), (5496), (function-axioms) are
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1497.
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5497) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5497) gives:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5498) all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5498) implies:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5499) all_57_24 = e0
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5446), (5499) imply:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5500) op(e0, e1) = e0
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (5500) gives:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5501) all_52_11 = e0
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5360), (5501) imply:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5502) $false
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5502) is inconsistent.
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5503) all_57_24 = e0 & all_57_28 = e1 & ~ (all_57_23 =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e1) & op(e2, e2) = e1 &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & op(e0, e1) = e0 &
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5503) implies:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5504) op(e2, e2) = e1
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (5365), (5504), (function-axioms) are
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1867.
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | Case 2:
% 245.52/42.40 | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | (5505) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 245.52/42.40 | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 245.52/42.40 | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | BETA: splitting (5505) gives:
% 245.52/42.40 | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.40 | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | (5506) all_56_8 = e1 & op(e1, e1) = e1
% 245.52/42.40 | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | ALPHA: (5506) implies:
% 245.52/42.40 | | | | | | | | | | | | | | | | | (5507) op(e1, e1) = e1
% 245.52/42.40 | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5363), (5507), (function-axioms) are
% 245.52/42.40 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1857.
% 245.52/42.40 | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.40 | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | (5508) all_56_14 = e1 & op(e0, e1) = e1
% 245.52/42.40 | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | ALPHA: (5508) implies:
% 245.52/42.40 | | | | | | | | | | | | | | | | | (5509) all_56_14 = e1
% 245.52/42.40 | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 245.52/42.40 | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.40 | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | (5510) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 245.52/42.40 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 245.52/42.40 | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | BETA: splitting (5510) gives:
% 245.52/42.40 | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | (5511) all_56_2 = e1 & op(e2, e3) = e1
% 245.52/42.40 | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | ALPHA: (5511) implies:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | (5512) all_56_2 = e1
% 245.52/42.40 | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (215), (216), (229),
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | (233), (235), (5363), (5381), (5385), (5512),
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | #1384.
% 245.52/42.40 | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | (5513) all_56_3 = e1 & op(e2, e2) = e1
% 245.52/42.40 | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | ALPHA: (5513) implies:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | (5514) op(e2, e2) = e1
% 245.52/42.40 | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (5365), (5514), (function-axioms) are
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1867.
% 245.52/42.40 | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.40 | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | (5515) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 245.52/42.40 | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 245.52/42.40 | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | BETA: splitting (5515) gives:
% 245.52/42.40 | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | (5516) all_56_5 = e1 & op(e2, e1) = e1
% 245.52/42.40 | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | ALPHA: (5516) implies:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | (5517) all_56_5 = e1
% 245.52/42.40 | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (5363),
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | (5509), (5517), (function-axioms) are inconsistent
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | by sub-proof #1409.
% 245.52/42.40 | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | (5518) all_56_10 = e1 & op(e2, e0) = e1
% 245.52/42.40 | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | ALPHA: (5518) implies:
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | (5519) op(e2, e0) = e1
% 245.52/42.40 | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5242), (5519), (function-axioms) are
% 245.52/42.40 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1534.
% 245.52/42.40 | | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | Case 2:
% 245.52/42.40 | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | (5520) all_56_13 = e1 & op(e0, e2) = e1
% 245.52/42.40 | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | ALPHA: (5520) implies:
% 245.52/42.40 | | | | | | | | | | | | | | | (5521) op(e0, e2) = e1
% 245.52/42.40 | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | REF_CLOSE: (158), (5239), (5521), (function-axioms) are
% 245.52/42.40 | | | | | | | | | | | | | | | inconsistent by sub-proof #1378.
% 245.52/42.40 | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | Case 2:
% 245.52/42.40 | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | (5522) all_24_2 = e1
% 245.52/42.40 | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | COMBINE_EQS: (318), (5522) imply:
% 245.52/42.40 | | | | | | | | | | | | (5523) all_4_2 = e1
% 245.52/42.40 | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | REDUCE: (354), (5523) imply:
% 245.52/42.40 | | | | | | | | | | | | (5524) ~ (all_52_6 = e1)
% 245.52/42.40 | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | REDUCE: (358), (5523) imply:
% 245.52/42.40 | | | | | | | | | | | | (5525) ~ (all_52_9 = e1)
% 245.52/42.40 | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | REDUCE: (373), (5523) imply:
% 245.52/42.40 | | | | | | | | | | | | (5526) ~ (e3 = e1)
% 245.52/42.40 | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | REDUCE: (36), (5523) imply:
% 245.52/42.40 | | | | | | | | | | | | (5527) op(e2, e2) = e1
% 245.52/42.40 | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | BETA: splitting (214) gives:
% 245.52/42.40 | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | Case 1:
% 245.52/42.40 | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | (5528) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 245.52/42.40 | | | | | | | | | | | | | & op(e1, e2) = e1)
% 245.52/42.40 | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | BETA: splitting (5528) gives:
% 245.52/42.40 | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | Case 1:
% 245.52/42.40 | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | (5529) all_56_6 = e1 & op(e1, e3) = e1
% 245.52/42.40 | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | ALPHA: (5529) implies:
% 245.52/42.40 | | | | | | | | | | | | | | (5530) op(e1, e3) = e1
% 245.52/42.40 | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 245.52/42.40 | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | Case 1:
% 245.52/42.40 | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | (5531) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 245.52/42.40 | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 245.52/42.40 | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | BETA: splitting (5531) gives:
% 245.52/42.40 | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | Case 1:
% 245.52/42.40 | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | (5532) all_56_4 = e1 & op(e3, e1) = e1
% 245.52/42.40 | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | ALPHA: (5532) implies:
% 245.52/42.40 | | | | | | | | | | | | | | | | (5533) op(e3, e1) = e1
% 245.52/42.40 | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (39), (141), (143), (157),
% 245.52/42.40 | | | | | | | | | | | | | | | | (160), (162), (163), (168), (169), (204), (238),
% 245.52/42.40 | | | | | | | | | | | | | | | | (239), (279), (346), (348), (374), (377), (5250),
% 245.52/42.40 | | | | | | | | | | | | | | | | (5358), (5360), (5363), (5527), (5530), (5533),
% 245.52/42.40 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.52/42.40 | | | | | | | | | | | | | | | | #934.
% 245.52/42.40 | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | Case 2:
% 245.52/42.40 | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | (5534) all_56_5 = e1 & op(e2, e1) = e1
% 245.52/42.40 | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | ALPHA: (5534) implies:
% 245.52/42.40 | | | | | | | | | | | | | | | | (5535) op(e2, e1) = e1
% 245.52/42.40 | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 245.52/42.40 | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (5535) gives:
% 245.52/42.40 | | | | | | | | | | | | | | | | (5536) all_52_9 = e1
% 245.52/42.40 | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | REDUCE: (5525), (5536) imply:
% 245.52/42.40 | | | | | | | | | | | | | | | | (5537) $false
% 245.52/42.40 | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | CLOSE: (5537) is inconsistent.
% 245.52/42.40 | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | Case 2:
% 245.52/42.40 | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | (5538) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 245.52/42.40 | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 245.52/42.40 | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | BETA: splitting (5538) gives:
% 245.52/42.40 | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | Case 1:
% 245.52/42.40 | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | (5539) all_56_8 = e1 & op(e1, e1) = e1
% 245.52/42.40 | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | ALPHA: (5539) implies:
% 245.52/42.40 | | | | | | | | | | | | | | | | (5540) op(e1, e1) = e1
% 245.52/42.40 | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5363), (5540), (function-axioms) are
% 245.52/42.40 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1857.
% 245.52/42.40 | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | Case 2:
% 245.52/42.40 | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | (5541) all_56_14 = e1 & op(e0, e1) = e1
% 245.52/42.40 | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | ALPHA: (5541) implies:
% 245.52/42.40 | | | | | | | | | | | | | | | | (5542) op(e0, e1) = e1
% 245.52/42.40 | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 245.52/42.40 | | | | | | | | | | | | | | | | e1, e1, e0, simplifying with (157), (5542) gives:
% 245.52/42.40 | | | | | | | | | | | | | | | | (5543) all_52_11 = e1
% 245.52/42.40 | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | REDUCE: (5240), (5543) imply:
% 245.52/42.40 | | | | | | | | | | | | | | | | (5544) $false
% 245.52/42.40 | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | | CLOSE: (5544) is inconsistent.
% 245.52/42.40 | | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | Case 2:
% 245.52/42.40 | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | (5545) all_56_7 = e1 & op(e1, e2) = e1
% 245.52/42.40 | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | ALPHA: (5545) implies:
% 245.52/42.40 | | | | | | | | | | | | | | (5546) op(e1, e2) = e1
% 245.52/42.40 | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | REF_CLOSE: (162), (5524), (5546), (function-axioms) are
% 245.52/42.40 | | | | | | | | | | | | | | inconsistent by sub-proof #1868.
% 245.52/42.40 | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | Case 2:
% 245.52/42.40 | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | (5547) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 245.52/42.40 | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 245.52/42.40 | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | REF_CLOSE: (4), (160), (5243), (5363), (5547),
% 245.52/42.40 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.52/42.40 | | | | | | | | | | | | | #885.
% 245.52/42.40 | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | Case 2:
% 245.52/42.40 | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | (5548) all_20_2 = e3
% 245.52/42.40 | | | | | | | | | | (5549) ( ~ (all_20_0 = e2) & op(all_20_1, all_20_1) =
% 245.52/42.40 | | | | | | | | | | all_20_0 & op(e3, e1) = all_20_1 & $i(all_20_0)
% 245.52/42.40 | | | | | | | | | | & $i(all_20_1)) | ( ~ (all_20_1 = e0) & op(e3,
% 245.52/42.40 | | | | | | | | | | e1) = all_20_1 & $i(all_20_1))
% 245.52/42.40 | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | COMBINE_EQS: (325), (5548) imply:
% 245.52/42.40 | | | | | | | | | | (5550) all_10_2 = e3
% 245.52/42.40 | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | SIMP: (5550) implies:
% 245.52/42.40 | | | | | | | | | | (5551) all_10_2 = e3
% 245.52/42.40 | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | COMBINE_EQS: (331), (5551) imply:
% 245.52/42.40 | | | | | | | | | | (5552) all_30_2 = e3
% 245.52/42.40 | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | REDUCE: (350), (5551) imply:
% 245.52/42.40 | | | | | | | | | | (5553) ~ (all_52_2 = e3)
% 245.52/42.40 | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | REDUCE: (363), (5551) imply:
% 245.52/42.40 | | | | | | | | | | (5554) ~ (all_52_8 = e3)
% 245.52/42.40 | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | REDUCE: (364), (5551) imply:
% 245.52/42.40 | | | | | | | | | | (5555) ~ (all_52_9 = e3)
% 245.52/42.40 | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | REDUCE: (366), (5551) imply:
% 245.52/42.40 | | | | | | | | | | (5556) ~ (all_52_11 = e3)
% 245.52/42.40 | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | REDUCE: (45), (5551) imply:
% 245.52/42.40 | | | | | | | | | | (5557) op(e1, e1) = e3
% 245.52/42.40 | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | BETA: splitting (67) gives:
% 245.52/42.40 | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | Case 1:
% 245.52/42.40 | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | (5558) ~ (all_24_2 = e1)
% 245.52/42.40 | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | REDUCE: (318), (5558) imply:
% 245.52/42.40 | | | | | | | | | | | (5559) ~ (all_4_2 = e1)
% 245.52/42.40 | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | BETA: splitting (70) gives:
% 245.52/42.40 | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | Case 1:
% 245.52/42.40 | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | (5560) ~ (all_26_2 = e1)
% 245.52/42.40 | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | REDUCE: (307), (5560) imply:
% 245.52/42.40 | | | | | | | | | | | | (5561) ~ (all_6_2 = e1)
% 245.52/42.40 | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | BETA: splitting (204) gives:
% 245.52/42.40 | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | Case 1:
% 245.52/42.40 | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | (5562) all_54_0 = e3
% 245.52/42.40 | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | COMBINE_EQS: (279), (5562) imply:
% 245.52/42.40 | | | | | | | | | | | | | (5563) all_6_2 = e3
% 245.52/42.40 | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | SIMP: (5563) implies:
% 245.52/42.40 | | | | | | | | | | | | | (5564) all_6_2 = e3
% 245.52/42.40 | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | REDUCE: (348), (5564) imply:
% 245.52/42.40 | | | | | | | | | | | | | (5565) ~ (all_52_12 = e3)
% 245.52/42.40 | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | REDUCE: (39), (5564) imply:
% 245.52/42.40 | | | | | | | | | | | | | (5566) op(e3, e3) = e3
% 245.52/42.40 | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (79),
% 245.52/42.40 | | | | | | | | | | | | | (123), (133), (134), (157), (158), (159), (160),
% 245.52/42.40 | | | | | | | | | | | | | (162), (164), (165), (167), (168), (169), (170),
% 245.52/42.40 | | | | | | | | | | | | | (199), (202), (204), (206), (208), (211), (212),
% 245.52/42.40 | | | | | | | | | | | | | (213), (214), (215), (216), (217), (218), (219),
% 245.52/42.40 | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 245.52/42.40 | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 245.52/42.40 | | | | | | | | | | | | | (235), (238), (239), (268), (271), (279), (314),
% 245.52/42.40 | | | | | | | | | | | | | (344), (346), (348), (349), (352), (358), (360),
% 245.52/42.40 | | | | | | | | | | | | | (373), (374), (377), (5238), (5239), (5240),
% 245.52/42.40 | | | | | | | | | | | | | (5241), (5242), (5243), (5249), (5250), (5554),
% 245.52/42.40 | | | | | | | | | | | | | (5557), (5559), (5565), (5566), (function-axioms)
% 245.52/42.40 | | | | | | | | | | | | | are inconsistent by sub-proof #837.
% 245.52/42.40 | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | Case 2:
% 245.52/42.40 | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | (5567) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 245.52/42.40 | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (5561), (5567) are
% 245.52/42.40 | | | | | | | | | | | | | inconsistent by sub-proof #1850.
% 245.52/42.40 | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | Case 2:
% 245.52/42.40 | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | (5568) all_26_2 = e1
% 245.52/42.40 | | | | | | | | | | | | (5569) ( ~ (all_26_0 = e2) & op(all_26_1, all_26_1) =
% 245.52/42.40 | | | | | | | | | | | | all_26_0 & op(e1, e3) = all_26_1 & $i(all_26_0)
% 245.52/42.40 | | | | | | | | | | | | & $i(all_26_1)) | ( ~ (all_26_1 = e0) & op(e1,
% 245.52/42.40 | | | | | | | | | | | | e3) = all_26_1 & $i(all_26_1))
% 245.52/42.40 | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | COMBINE_EQS: (307), (5568) imply:
% 245.52/42.40 | | | | | | | | | | | | (5570) all_6_2 = e1
% 245.52/42.40 | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | SIMP: (5570) implies:
% 245.52/42.40 | | | | | | | | | | | | (5571) all_6_2 = e1
% 245.52/42.40 | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | REDUCE: (344), (5571) imply:
% 245.52/42.40 | | | | | | | | | | | | (5572) ~ (all_52_4 = e1)
% 245.52/42.40 | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | REDUCE: (346), (5571) imply:
% 245.52/42.40 | | | | | | | | | | | | (5573) ~ (all_52_8 = e1)
% 245.52/42.40 | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | REDUCE: (377), (5571) imply:
% 245.52/42.40 | | | | | | | | | | | | (5574) ~ (e2 = e1)
% 245.52/42.40 | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | REDUCE: (39), (5571) imply:
% 245.52/42.40 | | | | | | | | | | | | (5575) op(e3, e3) = e1
% 245.52/42.40 | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | BETA: splitting (214) gives:
% 245.52/42.40 | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | Case 1:
% 245.52/42.40 | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | (5576) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 245.52/42.40 | | | | | | | | | | | | | & op(e1, e2) = e1)
% 245.52/42.40 | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | BETA: splitting (5576) gives:
% 245.52/42.40 | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | Case 1:
% 245.52/42.40 | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | (5577) all_56_6 = e1 & op(e1, e3) = e1
% 245.52/42.40 | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | ALPHA: (5577) implies:
% 245.52/42.40 | | | | | | | | | | | | | | (5578) all_56_6 = e1
% 245.52/42.40 | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 245.52/42.40 | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | Case 1:
% 245.52/42.40 | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | (5579) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 245.52/42.40 | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 245.52/42.40 | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (5559), (5572), (5579),
% 245.52/42.40 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.52/42.40 | | | | | | | | | | | | | | | #1476.
% 245.52/42.40 | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | Case 2:
% 245.52/42.40 | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | (5580) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 245.52/42.40 | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 245.52/42.40 | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (213), (215),
% 245.52/42.40 | | | | | | | | | | | | | | | (216), (5239), (5557), (5578), (5580),
% 245.52/42.40 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.52/42.40 | | | | | | | | | | | | | | | #836.
% 245.52/42.40 | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | End of split
% 245.52/42.40 | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | Case 2:
% 245.52/42.40 | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | (5581) all_56_7 = e1 & op(e1, e2) = e1
% 245.52/42.40 | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | ALPHA: (5581) implies:
% 245.52/42.40 | | | | | | | | | | | | | | (5582) all_56_7 = e1
% 245.52/42.40 | | | | | | | | | | | | | | (5583) op(e1, e2) = e1
% 245.52/42.40 | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 245.52/42.40 | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | Case 1:
% 245.52/42.40 | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | (5584) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 245.52/42.40 | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 245.52/42.40 | | | | | | | | | | | | | | |
% 245.52/42.40 | | | | | | | | | | | | | | | BETA: splitting (5584) gives:
% 245.52/42.40 | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | Case 1:
% 245.52/42.41 | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | (5585) all_56_4 = e1 & op(e3, e1) = e1
% 245.52/42.41 | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5573), (5585), (function-axioms) are
% 245.52/42.41 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 245.52/42.41 | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | Case 2:
% 245.52/42.41 | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | (5586) all_56_5 = e1 & op(e2, e1) = e1
% 245.52/42.41 | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | ALPHA: (5586) implies:
% 245.52/42.41 | | | | | | | | | | | | | | | | (5587) all_56_5 = e1
% 245.52/42.41 | | | | | | | | | | | | | | | | (5588) op(e2, e1) = e1
% 245.52/42.41 | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 245.52/42.41 | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (5583) gives:
% 245.52/42.41 | | | | | | | | | | | | | | | | (5589) all_52_6 = e1
% 245.52/42.41 | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 245.52/42.41 | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (5588) gives:
% 245.52/42.41 | | | | | | | | | | | | | | | | (5590) all_52_9 = e1
% 245.52/42.41 | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | REDUCE: (146), (5590) imply:
% 245.52/42.41 | | | | | | | | | | | | | | | | (5591) ~ (all_52_1 = e1)
% 245.52/42.41 | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | REDUCE: (143), (5589) imply:
% 245.52/42.41 | | | | | | | | | | | | | | | | (5592) ~ (all_52_2 = e1)
% 245.52/42.41 | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | REDUCE: (128), (5589) imply:
% 245.52/42.41 | | | | | | | | | | | | | | | | (5593) ~ (all_52_7 = e1)
% 245.52/42.41 | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | REDUCE: (118), (5590) imply:
% 245.52/42.41 | | | | | | | | | | | | | | | | (5594) ~ (all_52_11 = e1)
% 245.52/42.41 | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | REDUCE: (117), (5590) imply:
% 245.52/42.41 | | | | | | | | | | | | | | | | (5595) ~ (all_52_13 = e1)
% 245.52/42.41 | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | REDUCE: (358), (5590) imply:
% 245.52/42.41 | | | | | | | | | | | | | | | | (5596) ~ (all_4_2 = e1)
% 245.52/42.41 | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | REDUCE: (5555), (5590) imply:
% 245.52/42.41 | | | | | | | | | | | | | | | | (5597) ~ (e3 = e1)
% 245.52/42.41 | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 245.52/42.41 | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.41 | | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | | (5598) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 245.52/42.41 | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 245.52/42.41 | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 245.52/42.41 | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 245.52/42.41 | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 245.52/42.41 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 245.52/42.41 | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 245.52/42.41 | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 245.52/42.41 | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 245.52/42.41 | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 245.52/42.41 | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 245.52/42.41 | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 245.52/42.41 | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 245.52/42.41 | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 245.52/42.41 | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 245.52/42.41 | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 245.52/42.41 | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 245.52/42.41 | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 245.52/42.41 | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 245.52/42.41 | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 245.52/42.41 | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 245.52/42.41 | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 245.52/42.41 | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 245.52/42.41 | | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | | BETA: splitting (5598) gives:
% 245.52/42.41 | | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.41 | | | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | | | (5599) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 245.52/42.41 | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | ((all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 245.52/42.41 | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | $i(all_57_16))) & ((all_57_30 = e3 & op(e1,
% 245.52/42.41 | | | | | | | | | | | | | | | | | | e1) = e3) | ( ~ (all_57_17 = e1) & op(e1,
% 245.52/42.41 | | | | | | | | | | | | | | | | | | e3) = all_57_17 & $i(all_57_17))) &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 245.52/42.41 | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | $i(all_57_18)))
% 245.52/42.41 | | | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | | | ALPHA: (5599) implies:
% 245.52/42.41 | | | | | | | | | | | | | | | | | | (5600) op(e3, e1) = all_57_22
% 245.52/42.41 | | | | | | | | | | | | | | | | | | (5601) op(e3, e3) = all_57_26
% 245.52/42.41 | | | | | | | | | | | | | | | | | | (5602) op(e3, all_57_26) = e3
% 245.52/42.41 | | | | | | | | | | | | | | | | | | (5603) (all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 245.52/42.41 | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | $i(all_57_16))
% 245.52/42.41 | | | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (169), (373), (5554), (5575), (5600),
% 245.52/42.41 | | | | | | | | | | | | | | | | | | (5601), (5602), (5603), (function-axioms) are
% 245.52/42.41 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1597.
% 245.52/42.41 | | | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.41 | | | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | | | (5604) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 245.52/42.41 | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | ((all_57_26 = e2 & op(e3, e3) = e2) | ( ~
% 245.52/42.41 | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & op(e3, e2) = all_57_19 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | $i(all_57_19))) & ((all_57_30 = e2 & op(e1,
% 245.52/42.41 | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_20 = e1) & op(e1,
% 245.52/42.41 | | | | | | | | | | | | | | | | | | e2) = all_57_20 & $i(all_57_20))) &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | ((all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 245.52/42.41 | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | $i(all_57_21)))
% 245.52/42.41 | | | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | | | ALPHA: (5604) implies:
% 245.52/42.41 | | | | | | | | | | | | | | | | | | (5605) (all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 245.52/42.41 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | $i(all_57_20))
% 245.52/42.41 | | | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5557), (5583), (5605), (function-axioms) are
% 245.52/42.41 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1238.
% 245.52/42.41 | | | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | | End of split
% 245.52/42.41 | | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | Case 2:
% 245.52/42.41 | | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | | (5606) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 245.52/42.41 | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 245.52/42.41 | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 245.52/42.41 | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 245.52/42.41 | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 245.52/42.41 | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 245.52/42.41 | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 245.52/42.41 | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 245.52/42.41 | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 245.52/42.41 | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 245.52/42.41 | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 245.52/42.41 | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 245.52/42.41 | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 245.52/42.41 | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 245.52/42.41 | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 245.52/42.41 | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 245.52/42.41 | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 245.52/42.41 | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 245.52/42.41 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 245.52/42.41 | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 245.52/42.41 | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 245.52/42.41 | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 245.52/42.41 | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 245.52/42.41 | | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | | BETA: splitting (5606) gives:
% 245.52/42.41 | | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | | Case 1:
% 245.52/42.41 | | | | | | | | | | | | | | | | | |
% 245.52/42.41 | | | | | | | | | | | | | | | | | | (5607) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 245.52/42.41 | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 245.52/42.41 | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 245.52/42.41 | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 245.52/42.41 | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 245.52/42.41 | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 245.64/42.41 | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 245.64/42.41 | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 245.64/42.41 | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 245.64/42.41 | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | ALPHA: (5607) implies:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | (5608) op(e1, e1) = all_57_30
% 245.64/42.41 | | | | | | | | | | | | | | | | | | (5609) op(e1, e2) = all_57_20
% 245.64/42.41 | | | | | | | | | | | | | | | | | | (5610) op(e1, all_57_20) = e2
% 245.64/42.41 | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5557), (5583), (5608), (5609), (5610),
% 245.64/42.41 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.64/42.41 | | | | | | | | | | | | | | | | | | #1149.
% 245.64/42.41 | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.41 | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | (5611) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 245.64/42.41 | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 245.64/42.41 | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 245.64/42.41 | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 245.64/42.41 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 245.64/42.41 | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 245.64/42.41 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 245.64/42.41 | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 245.64/42.41 | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 245.64/42.41 | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 245.64/42.41 | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 245.64/42.41 | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 245.64/42.41 | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 245.64/42.41 | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 245.64/42.41 | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 245.64/42.41 | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | ALPHA: (5611) implies:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | (5612) op(e0, e0) = all_57_31
% 245.64/42.41 | | | | | | | | | | | | | | | | | | (5613) op(e0, e1) = all_57_24
% 245.64/42.41 | | | | | | | | | | | | | | | | | | (5614) op(e0, e3) = all_57_18
% 245.64/42.41 | | | | | | | | | | | | | | | | | | (5615) op(e0, all_57_31) = e0
% 245.64/42.41 | | | | | | | | | | | | | | | | | | (5616) op(e0, all_57_24) = e1
% 245.64/42.41 | | | | | | | | | | | | | | | | | | (5617) (all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 245.64/42.41 | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 245.64/42.41 | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 245.64/42.41 | | | | | | | | | | | | | | | | | | (5618) (all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 245.64/42.41 | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 245.64/42.41 | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 245.64/42.41 | | | | | | | | | | | | | | | | | | (5619) (all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 245.64/42.41 | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 245.64/42.41 | | | | | | | | | | | | | | | | | | $i(all_57_25))
% 245.64/42.41 | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | BETA: splitting (5619) gives:
% 245.64/42.41 | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | (5620) all_57_26 = e0 & op(e3, e3) = e0
% 245.64/42.41 | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | ALPHA: (5620) implies:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | (5621) op(e3, e3) = e0
% 245.64/42.41 | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5575), (5621), (function-axioms) are
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1832.
% 245.64/42.41 | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | (5622) ~ (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | $i(all_57_25)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | ALPHA: (5622) implies:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | (5623) ~ (all_57_25 = e3)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | (5624) op(e3, e0) = all_57_25
% 245.64/42.41 | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | BETA: splitting (5617) gives:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | (5625) all_57_30 = e0 & op(e1, e1) = e0
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | ALPHA: (5625) implies:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | (5626) op(e1, e1) = e0
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5557), (5626), (function-axioms) are
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1771.
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | (5627) ~ (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | ALPHA: (5627) implies:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | (5628) ~ (all_57_29 = e1)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | (5629) op(e1, e0) = all_57_29
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (5250), (5612)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | gives:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | (5630) all_57_31 = e1
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | all_57_24, e1, e0, simplifying with (157), (5613)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | gives:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | (5631) all_57_24 = all_52_11
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | all_57_18, e3, e0, simplifying with (159), (5614)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | gives:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | (5632) all_57_18 = all_52_3
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | all_57_29, e0, e1, simplifying with (160), (5629)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | gives:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | (5633) all_57_29 = all_52_14
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | all_57_25, e0, e3, simplifying with (168), (5624)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | gives:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | (5634) all_57_25 = all_52_12
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (5623), (5634) imply:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | (5635) ~ (all_52_12 = e3)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (5616), (5631) imply:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | (5636) op(e0, all_52_11) = e1
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (5615), (5630) imply:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | (5637) op(e0, e1) = e0
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | (5638) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5638) gives:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | (5639) all_56_0 = e3 & op(e3, e3) = e3
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5639) implies:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | (5640) op(e3, e3) = e3
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5575), (5640), (function-axioms) are
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1864.
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | (5641) all_56_1 = e3 & op(e3, e2) = e3
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5641) implies:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | (5642) all_56_1 = e3
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | (5643) op(e3, e2) = e3
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | (5644) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5644) gives:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | (5645) all_56_9 = e3 & op(e3, e0) = e3
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5645) implies:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | (5646) op(e3, e0) = e3
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5635), (5646), (function-axioms) are
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1862.
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | (5647) all_56_10 = e3 & op(e2, e0) = e3
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5647) implies:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | (5648) all_56_10 = e3
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | (5649) op(e2, e0) = e3
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (5637) gives:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | (5650) all_52_11 = e0
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e2, simplifying with (164), (5649) gives:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | (5651) all_52_13 = e3
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (5643) gives:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | (5652) all_52_4 = e3
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (5651) imply:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | (5653) ~ (all_52_1 = e3)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (5650) imply:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | (5654) ~ (all_52_3 = e0)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (5652) imply:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | (5655) ~ (all_52_7 = e3)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5655) implies:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | (5656) ~ (all_52_7 = e3)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (5652) imply:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | (5657) ~ (all_52_8 = e3)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (5650) imply:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | (5658) ~ (all_52_7 = e0)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (5650) imply:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | (5659) ~ (all_52_8 = e0)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5556), (5650) imply:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | (5660) ~ (e3 = e0)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5240), (5650) imply:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | (5661) ~ (e1 = e0)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (5651) imply:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | (5662) ~ (all_4_2 = e3)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | (5663) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5663) gives:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (5664) all_56_4 = e0 & op(e3, e1) = e0
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5664) implies:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (5665) all_56_4 = e0
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5666) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5666) gives:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5667) all_56_12 = e3 & op(e0, e3) = e3
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5667) implies:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5668) all_56_12 = e3
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5669) all_54_2 = e3
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (5554), (5669) are inconsistent by
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1617.
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5670) ~ (all_54_2 = e3)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5671) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5671) gives:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5672) all_54_2 = e2
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (5672) imply:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5673) all_52_8 = e2
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5673) implies:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5674) all_52_8 = e2
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5554), (5674) imply:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5675) ~ (e3 = e2)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (5674) imply:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5676) op(e3, e1) = e2
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5677) ~ (all_30_2 = e3)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5552), (5677) imply:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5678) $false
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5678) is inconsistent.
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5679) ( ~ (all_30_0 = e0) & op(all_30_1, all_30_1) =
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_30_0 & op(e3, e1) = all_30_1 & $i(all_30_0)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_30_1)) | ( ~ (all_30_1 = e2) & op(e3,
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_30_1 & $i(all_30_1))
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5549) gives:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5680) ~ (all_20_0 = e2) & op(all_20_1, all_20_1) =
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_0 & op(e3, e1) = all_20_1 & $i(all_20_0) &
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5680) implies:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5681) op(e3, e1) = all_20_1
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (159), (160),
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (191), (199), (206), (208), (211), (213),
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (221), (223), (225), (227), (230), (233),
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (238), (248), (268), (356), (373),
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5236), (5239), (5243), (5249), (5250), (5253),
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5557), (5559), (5569), (5575), (5582), (5583),
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5587), (5588), (5618), (5635), (5637), (5642),
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5648), (5654), (5656), (5658), (5665), (5668),
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5676), (5679), (5681), (function-axioms) are
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #818.
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5682) ~ (all_20_1 = e0) & op(e3, e1) = all_20_1 &
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5682) implies:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5683) op(e3, e1) = all_20_1
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (159), (160),
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (191), (199), (206), (208), (211), (213),
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (221), (223), (225), (227), (230), (233),
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (238), (248), (268), (356), (373),
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5236), (5239), (5243), (5249), (5250), (5253),
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5557), (5559), (5569), (5575), (5582), (5583),
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5587), (5588), (5618), (5635), (5637), (5642),
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5648), (5654), (5656), (5658), (5665), (5668),
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5676), (5679), (5683), (function-axioms) are
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #818.
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5684) all_54_2 = e1 | all_54_2 = e0
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (5573), (5659), (5684) are inconsistent by
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1613.
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5685) all_56_13 = e3 & op(e0, e2) = e3
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (159), (160),
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (225), (227), (238), (373), (5243), (5250),
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5559), (5575), (5582), (5583), (5588), (5635),
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5637), (5642), (5654), (5685), (function-axioms)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #816.
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5686) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5686) gives:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5687) all_56_14 = e3 & op(e0, e1) = e3
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5687) implies:
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5688) all_56_14 = e3
% 245.64/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (5557), (5588), (5665),
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5688), (function-axioms) are inconsistent by
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #815.
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5689) all_56_15 = e3 & op(e0, e0) = e3
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5689) implies:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5690) op(e0, e0) = e3
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5250), (5690), (function-axioms) are
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (5691) all_56_5 = e0 & op(e2, e1) = e0
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5691) implies:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (5692) all_56_5 = e0
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5587), (5692) are inconsistent by sub-proof
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | #1433.
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | (5693) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5693) gives:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (5694) all_56_8 = e0 & op(e1, e1) = e0
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5694) implies:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (5695) op(e1, e1) = e0
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5557), (5695), (function-axioms) are
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1771.
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (5696) all_56_14 = e0 & op(e0, e1) = e0
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5696) implies:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (5697) all_56_14 = e0
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5698) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5698) gives:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5699) all_56_12 = e3 & op(e0, e3) = e3
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5699) implies:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5700) all_56_12 = e3
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5701) ~ (all_30_2 = e3)
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5552), (5701) imply:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5702) $false
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5702) is inconsistent.
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5703) ( ~ (all_30_0 = e0) & op(all_30_1, all_30_1) =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_30_0 & op(e3, e1) = all_30_1 & $i(all_30_0)
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_30_1)) | ( ~ (all_30_1 = e2) & op(e3,
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_30_1 & $i(all_30_1))
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5549) gives:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5704) ~ (all_20_0 = e2) & op(all_20_1, all_20_1) =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_0 & op(e3, e1) = all_20_1 & $i(all_20_0) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5704) implies:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5705) op(e3, e1) = all_20_1
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5706) op(all_20_1, all_20_1) = all_20_0
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5707) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5707) gives:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5708) all_56_4 = e2 & op(e3, e1) = e2
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5708) implies:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5709) all_56_4 = e2
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5710) op(e3, e1) = e2
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5711) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5711) gives:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5712) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5712) gives:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5713) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5713) gives:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5714) all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_17) & $i(all_57_28)
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5714) implies:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5715) op(e2, e2) = all_57_28
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (36), (149), (191),
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (199), (200), (211), (230), (248), (259),
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (268), (269), (349), (356), (373), (5236), (5239),
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5250), (5253), (5553), (5559), (5575), (5591),
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5592), (5642), (5648), (5653), (5656), (5658),
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5703), (5705), (5706), (5709), (5710), (5715),
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #813.
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5716) all_57_16 = e2 & all_57_31 = e3 & ~ (all_57_18 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e0, e3) = all_57_18 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_28)
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5716) implies:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5717) op(e0, e0) = e3
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5250), (5717), (function-axioms) are
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5718) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (373), (5250), (5718),
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #903.
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5719) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (5250), (5559), (5575), (5583), (5719),
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #873.
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5720) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5720) gives:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5721) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (168), (5588), (5635), (5637), (5721),
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #826.
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5722) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5722) gives:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5575), (5723), (function-axioms) are
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1831.
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5724) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5724) gives:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5725) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5725) implies:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5726) op(e2, e2) = all_57_28
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (36), (149), (191),
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (199), (200), (211), (230), (248), (259),
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (268), (269), (349), (356), (373), (5236), (5239),
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5250), (5253), (5553), (5559), (5575), (5591),
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5592), (5642), (5648), (5653), (5656), (5658),
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5703), (5705), (5706), (5709), (5710), (5726),
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #813.
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5727) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (159), (160), (373), (5243), (5250),
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5559), (5575), (5583), (5654), (5727),
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #823.
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5728) all_56_5 = e2 & op(e2, e1) = e2
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5728) implies:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5729) op(e2, e1) = e2
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5588), (5729), (function-axioms) are
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1582.
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5730) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (5557), (5697), (5730),
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #820.
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5731) ~ (all_20_1 = e0) & op(e3, e1) = all_20_1 &
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5731) implies:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5732) op(e3, e1) = all_20_1
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (159), (160),
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (208), (211), (213), (219), (221), (223),
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (227), (230), (233), (235), (238), (373),
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5236), (5243), (5250), (5253), (5557), (5559),
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5569), (5575), (5582), (5583), (5587), (5588),
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5618), (5635), (5637), (5642), (5648), (5654),
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5697), (5700), (5703), (5732), (function-axioms)
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #819.
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5733) all_56_13 = e3 & op(e0, e2) = e3
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (159), (160),
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (225), (227), (238), (373), (5243), (5250),
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5559), (5575), (5582), (5583), (5588), (5635),
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5637), (5642), (5654), (5733), (function-axioms)
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #816.
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5734) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5734) gives:
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5735) all_56_14 = e3 & op(e0, e1) = e3
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5735) implies:
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5736) all_56_14 = e3
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5697), (5736) are inconsistent by sub-proof
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1641.
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5737) all_56_15 = e3 & op(e0, e0) = e3
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5737) implies:
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5738) op(e0, e0) = e3
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5250), (5738), (function-axioms) are
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | (5739) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5739) gives:
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | (5740) all_56_11 = e3 & op(e1, e0) = e3
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5740) implies:
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | (5741) all_56_11 = e3
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (213), (215), (5557),
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | (5582), (5741), (function-axioms) are inconsistent
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1288.
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | (5742) all_56_15 = e3 & op(e0, e0) = e3
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5742) implies:
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | (5743) op(e0, e0) = e3
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5250), (5743), (function-axioms) are
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | (5744) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (5554), (5635), (5744),
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | | #1058.
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.43 | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.43 | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | End of split
% 245.64/42.43 | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | End of split
% 245.64/42.43 | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | End of split
% 245.64/42.43 | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | Case 2:
% 245.64/42.43 | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | (5745) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 245.64/42.43 | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 245.64/42.43 | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (5240), (5557), (5745),
% 245.64/42.43 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.64/42.43 | | | | | | | | | | | | | | | #1037.
% 245.64/42.43 | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | End of split
% 245.64/42.43 | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | End of split
% 245.64/42.43 | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | Case 2:
% 245.64/42.43 | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | (5746) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 245.64/42.43 | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 245.64/42.43 | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | REF_CLOSE: (8), (160), (5243), (5557), (5746),
% 245.64/42.43 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.64/42.43 | | | | | | | | | | | | | #1129.
% 245.64/42.43 | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | End of split
% 245.64/42.43 | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | End of split
% 245.64/42.43 | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | Case 2:
% 245.64/42.43 | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | (5747) all_24_2 = e1
% 245.64/42.43 | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | COMBINE_EQS: (318), (5747) imply:
% 245.64/42.43 | | | | | | | | | | | (5748) all_4_2 = e1
% 245.64/42.43 | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | REDUCE: (354), (5748) imply:
% 245.64/42.43 | | | | | | | | | | | (5749) ~ (all_52_6 = e1)
% 245.64/42.43 | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | REDUCE: (358), (5748) imply:
% 245.64/42.43 | | | | | | | | | | | (5750) ~ (all_52_9 = e1)
% 245.64/42.43 | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | REDUCE: (373), (5748) imply:
% 245.64/42.43 | | | | | | | | | | | (5751) ~ (e3 = e1)
% 245.64/42.43 | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | REDUCE: (36), (5748) imply:
% 245.64/42.43 | | | | | | | | | | | (5752) op(e2, e2) = e1
% 245.64/42.43 | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | BETA: splitting (214) gives:
% 245.64/42.43 | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | Case 1:
% 245.64/42.43 | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | (5753) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 245.64/42.43 | | | | | | | | | | | | & op(e1, e2) = e1)
% 245.64/42.43 | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | BETA: splitting (5753) gives:
% 245.64/42.43 | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | Case 1:
% 245.64/42.43 | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | (5754) all_56_6 = e1 & op(e1, e3) = e1
% 245.64/42.43 | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | ALPHA: (5754) implies:
% 245.64/42.43 | | | | | | | | | | | | | (5755) op(e1, e3) = e1
% 245.64/42.43 | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | BETA: splitting (218) gives:
% 245.64/42.43 | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | Case 1:
% 245.64/42.43 | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | (5756) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 245.64/42.43 | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 245.64/42.43 | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | BETA: splitting (5756) gives:
% 245.64/42.43 | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | Case 1:
% 245.64/42.43 | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | (5757) all_56_4 = e1 & op(e3, e1) = e1
% 245.64/42.43 | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | ALPHA: (5757) implies:
% 245.64/42.43 | | | | | | | | | | | | | | | (5758) op(e3, e1) = e1
% 245.64/42.43 | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 245.64/42.43 | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (5755) gives:
% 245.64/42.43 | | | | | | | | | | | | | | | (5759) all_52_2 = e1
% 245.64/42.43 | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 245.64/42.43 | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (5758) gives:
% 245.64/42.43 | | | | | | | | | | | | | | | (5760) all_52_8 = e1
% 245.64/42.43 | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | REDUCE: (143), (5759) imply:
% 245.64/42.43 | | | | | | | | | | | | | | | (5761) ~ (all_52_6 = e1)
% 245.64/42.43 | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | REDUCE: (141), (5759) imply:
% 245.64/42.43 | | | | | | | | | | | | | | | (5762) ~ (all_52_14 = e1)
% 245.64/42.43 | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | REDUCE: (346), (5760) imply:
% 245.64/42.43 | | | | | | | | | | | | | | | (5763) ~ (all_6_2 = e1)
% 245.64/42.43 | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | SIMP: (5763) implies:
% 245.64/42.43 | | | | | | | | | | | | | | | (5764) ~ (all_6_2 = e1)
% 245.64/42.43 | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 245.64/42.43 | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | Case 1:
% 245.64/42.43 | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | (5765) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.64/42.43 | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.64/42.43 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.64/42.43 | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.64/42.43 | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.64/42.43 | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.64/42.43 | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.64/42.43 | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.64/42.43 | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 245.64/42.43 | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.64/42.43 | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 245.64/42.43 | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 245.64/42.43 | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 245.64/42.43 | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 245.64/42.43 | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 245.64/42.43 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 245.64/42.43 | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 245.64/42.43 | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 245.64/42.43 | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 245.64/42.43 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.64/42.43 | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.64/42.43 | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 245.64/42.43 | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 245.64/42.43 | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 245.64/42.43 | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 245.64/42.43 | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 245.64/42.43 | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 245.64/42.43 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 245.64/42.43 | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 245.64/42.43 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 245.64/42.43 | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 245.64/42.43 | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 245.64/42.43 | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 245.64/42.43 | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.64/42.43 | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 245.64/42.43 | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.64/42.43 | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 245.64/42.43 | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 245.64/42.43 | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 245.64/42.43 | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | BETA: splitting (5765) gives:
% 245.64/42.43 | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.43 | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | (5766) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.64/42.43 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.64/42.43 | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.64/42.43 | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.64/42.43 | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.64/42.43 | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 245.64/42.43 | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.64/42.43 | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 245.64/42.43 | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 245.64/42.43 | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 245.64/42.43 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 245.64/42.43 | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 245.64/42.43 | | | | | | | | | | | | | | | | | $i(all_57_30))
% 245.64/42.43 | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | BETA: splitting (5766) gives:
% 245.64/42.43 | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.43 | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | (5767) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.64/42.43 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.64/42.43 | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.64/42.43 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 245.64/42.43 | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5250), (5755), (5767), (function-axioms) are
% 245.64/42.43 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #849.
% 245.64/42.43 | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.43 | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | (5768) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 245.64/42.43 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 245.64/42.43 | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 245.64/42.43 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 245.64/42.43 | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5250), (5752), (5768), (function-axioms) are
% 245.64/42.43 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #943.
% 245.64/42.43 | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | End of split
% 245.64/42.43 | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.43 | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | (5769) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 245.64/42.43 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 245.64/42.43 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 245.64/42.43 | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 245.64/42.43 | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 245.64/42.43 | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 245.64/42.43 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 245.64/42.43 | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 245.64/42.43 | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 245.64/42.43 | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 245.64/42.43 | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 245.64/42.43 | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 245.64/42.43 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 245.64/42.43 | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 245.64/42.43 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 245.64/42.43 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 245.64/42.43 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 245.64/42.43 | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | BETA: splitting (5769) gives:
% 245.64/42.43 | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.43 | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | (5770) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 245.64/42.43 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 245.64/42.43 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 245.64/42.43 | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 245.64/42.43 | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 245.64/42.43 | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (5250), (5557), (5770),
% 245.64/42.43 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.64/42.43 | | | | | | | | | | | | | | | | | | #872.
% 245.64/42.43 | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.43 | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | (5771) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 245.64/42.43 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 245.64/42.43 | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 245.64/42.43 | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.64/42.43 | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 245.64/42.43 | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 245.64/42.43 | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | BETA: splitting (5771) gives:
% 245.64/42.43 | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.43 | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | (5772) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 245.64/42.43 | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | ALPHA: (5772) implies:
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | (5773) op(e1, e2) = e1
% 245.64/42.43 | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5749), (5773), (function-axioms) are
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1868.
% 245.64/42.43 | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.43 | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | (5774) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 245.64/42.43 | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | BETA: splitting (5774) gives:
% 245.64/42.43 | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | Case 1:
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | (5775) all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_30)
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | ALPHA: (5775) implies:
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | (5776) op(e0, e0) = e2
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5250), (5776), (function-axioms) are
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | Case 2:
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | (5777) all_57_22 = e3 & all_57_28 = e1 & ~ (all_57_23 =
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & $i(all_57_23) &
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | ALPHA: (5777) implies:
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | (5778) op(e3, e1) = e3
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5554), (5778), (function-axioms) are
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1599.
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.43 | | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | | End of split
% 245.64/42.43 | | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | | End of split
% 245.64/42.43 | | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | | End of split
% 245.64/42.43 | | | | | | | | | | | | | | | |
% 245.64/42.43 | | | | | | | | | | | | | | | Case 2:
% 245.64/42.43 | | | | | | | | | | | | | | | |
% 245.74/42.43 | | | | | | | | | | | | | | | | (5779) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.74/42.43 | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.74/42.43 | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.74/42.43 | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.74/42.43 | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.74/42.43 | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.74/42.43 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.43 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.74/42.43 | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 245.74/42.43 | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 245.74/42.43 | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 245.74/42.43 | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 245.74/42.43 | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 245.74/42.43 | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 245.74/42.43 | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.74/42.43 | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.74/42.43 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.74/42.43 | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.74/42.43 | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.74/42.43 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.74/42.43 | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.74/42.43 | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 245.74/42.43 | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 245.74/42.43 | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 245.74/42.43 | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 245.74/42.43 | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 245.74/42.43 | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 245.74/42.43 | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 245.74/42.43 | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 245.74/42.43 | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 245.74/42.43 | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 245.74/42.43 | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 245.74/42.43 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 245.74/42.43 | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.74/42.43 | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 245.74/42.43 | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 245.74/42.43 | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 245.74/42.43 | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 245.74/42.43 | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 245.74/42.43 | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 245.74/42.43 | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 245.74/42.43 | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 245.74/42.43 | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 245.74/42.43 | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 245.74/42.43 | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.74/42.43 | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.74/42.43 | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.74/42.43 | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.74/42.43 | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.74/42.43 | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.74/42.43 | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.74/42.43 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.74/42.43 | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.74/42.43 | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.74/42.43 | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.74/42.43 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.74/42.43 | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.74/42.43 | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.74/42.43 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.43 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.74/42.43 | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.74/42.43 | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.74/42.43 | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.74/42.43 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.74/42.43 | | | | | | | | | | | | | | | |
% 245.74/42.43 | | | | | | | | | | | | | | | | BETA: splitting (5779) gives:
% 245.74/42.43 | | | | | | | | | | | | | | | |
% 245.74/42.43 | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.43 | | | | | | | | | | | | | | | | |
% 245.74/42.43 | | | | | | | | | | | | | | | | | (5780) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.74/42.43 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.74/42.43 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.74/42.43 | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.74/42.43 | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.74/42.43 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.74/42.43 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 245.74/42.43 | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 245.74/42.43 | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 245.74/42.43 | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 245.74/42.43 | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.74/42.43 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.74/42.43 | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.74/42.43 | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.74/42.43 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 245.74/42.43 | | | | | | | | | | | | | | | | |
% 245.74/42.43 | | | | | | | | | | | | | | | | | BETA: splitting (5780) gives:
% 245.74/42.43 | | | | | | | | | | | | | | | | |
% 245.74/42.43 | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.43 | | | | | | | | | | | | | | | | | |
% 245.74/42.43 | | | | | | | | | | | | | | | | | | (5781) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.74/42.43 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.74/42.43 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.74/42.43 | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.74/42.43 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 245.74/42.43 | | | | | | | | | | | | | | | | | |
% 245.74/42.43 | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5554), (5752), (5781), (function-axioms)
% 245.74/42.43 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1124.
% 245.74/42.43 | | | | | | | | | | | | | | | | | |
% 245.74/42.43 | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.43 | | | | | | | | | | | | | | | | | |
% 245.74/42.43 | | | | | | | | | | | | | | | | | | (5782) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 245.74/42.43 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 245.74/42.43 | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 245.74/42.43 | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 245.74/42.43 | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 245.74/42.43 | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 245.74/42.43 | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 245.74/42.43 | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 245.74/42.43 | | | | | | | | | | | | | | | | | |
% 245.74/42.43 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (5557), (5752), (5782),
% 245.74/42.43 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.43 | | | | | | | | | | | | | | | | | | #811.
% 245.74/42.43 | | | | | | | | | | | | | | | | | |
% 245.74/42.43 | | | | | | | | | | | | | | | | | End of split
% 245.74/42.43 | | | | | | | | | | | | | | | | |
% 245.74/42.43 | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.43 | | | | | | | | | | | | | | | | |
% 245.74/42.43 | | | | | | | | | | | | | | | | | (5783) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 245.74/42.43 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 245.74/42.43 | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 245.74/42.43 | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 245.74/42.43 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 245.74/42.43 | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 245.74/42.43 | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 245.74/42.43 | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 245.74/42.43 | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 245.74/42.43 | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.74/42.43 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 245.74/42.43 | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 245.74/42.43 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 245.74/42.43 | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 245.74/42.43 | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 245.74/42.43 | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 245.74/42.43 | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.74/42.43 | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.74/42.43 | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.74/42.43 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.74/42.43 | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.74/42.43 | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.74/42.43 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.74/42.43 | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.74/42.43 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.74/42.43 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.74/42.43 | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.74/42.43 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.74/42.43 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.74/42.43 | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.74/42.43 | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.74/42.43 | | | | | | | | | | | | | | | | |
% 245.74/42.43 | | | | | | | | | | | | | | | | | BETA: splitting (5783) gives:
% 245.74/42.43 | | | | | | | | | | | | | | | | |
% 245.74/42.43 | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.43 | | | | | | | | | | | | | | | | | |
% 245.74/42.43 | | | | | | | | | | | | | | | | | | (5784) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 245.74/42.43 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 245.74/42.43 | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 245.74/42.43 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 245.74/42.43 | | | | | | | | | | | | | | | | | |
% 245.74/42.43 | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (204), (279), (374), (377), (5764), (5784),
% 245.74/42.43 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.43 | | | | | | | | | | | | | | | | | | #1064.
% 245.74/42.43 | | | | | | | | | | | | | | | | | |
% 245.74/42.43 | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.43 | | | | | | | | | | | | | | | | | |
% 245.74/42.43 | | | | | | | | | | | | | | | | | | (5785) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 245.74/42.43 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 245.74/42.43 | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 245.74/42.43 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 245.74/42.43 | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.74/42.43 | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 245.74/42.43 | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 245.74/42.43 | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 245.74/42.43 | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 245.74/42.43 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.74/42.43 | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.74/42.43 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.74/42.43 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.74/42.43 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.74/42.43 | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.74/42.43 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.74/42.43 | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.74/42.43 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.74/42.43 | | | | | | | | | | | | | | | | | |
% 245.74/42.43 | | | | | | | | | | | | | | | | | | BETA: splitting (5785) gives:
% 245.74/42.43 | | | | | | | | | | | | | | | | | |
% 245.74/42.43 | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | (5786) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 245.74/42.44 | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | ALPHA: (5786) implies:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | (5787) op(e1, e1) = e0
% 245.74/42.44 | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5557), (5787), (function-axioms) are
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1771.
% 245.74/42.44 | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | (5788) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.74/42.44 | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | BETA: splitting (5788) gives:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (5789) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | ALPHA: (5789) implies:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (5790) op(e1, e0) = e1
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (5243), (5790), (function-axioms) are
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1856.
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (5791) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | ALPHA: (5791) implies:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (5792) op(e0, e0) = all_57_31
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (5793) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (204), (279), (374), (377), (5250), (5557),
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (5752), (5755), (5764), (5792), (5793),
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | #810.
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.44 | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.44 | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | End of split
% 245.74/42.44 | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | End of split
% 245.74/42.44 | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | End of split
% 245.74/42.44 | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | Case 2:
% 245.74/42.44 | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | (5794) all_56_5 = e1 & op(e2, e1) = e1
% 245.74/42.44 | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | ALPHA: (5794) implies:
% 245.74/42.44 | | | | | | | | | | | | | | | (5795) op(e2, e1) = e1
% 245.74/42.44 | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | REF_CLOSE: (165), (5750), (5795), (function-axioms) are
% 245.74/42.44 | | | | | | | | | | | | | | | inconsistent by sub-proof #1383.
% 245.74/42.44 | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | End of split
% 245.74/42.44 | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | Case 2:
% 245.74/42.44 | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | (5796) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 245.74/42.44 | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 245.74/42.44 | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (5240), (5557), (5796),
% 245.74/42.44 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.44 | | | | | | | | | | | | | | #1037.
% 245.74/42.44 | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | End of split
% 245.74/42.44 | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | Case 2:
% 245.74/42.44 | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | (5797) all_56_7 = e1 & op(e1, e2) = e1
% 245.74/42.44 | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | ALPHA: (5797) implies:
% 245.74/42.44 | | | | | | | | | | | | | (5798) op(e1, e2) = e1
% 245.74/42.44 | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | REF_CLOSE: (162), (5749), (5798), (function-axioms) are
% 245.74/42.44 | | | | | | | | | | | | | inconsistent by sub-proof #1868.
% 245.74/42.44 | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | End of split
% 245.74/42.44 | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | Case 2:
% 245.74/42.44 | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | (5799) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 245.74/42.44 | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 245.74/42.44 | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | REF_CLOSE: (8), (160), (5243), (5557), (5799),
% 245.74/42.44 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.44 | | | | | | | | | | | | #1129.
% 245.74/42.44 | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | End of split
% 245.74/42.44 | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | End of split
% 245.74/42.44 | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | End of split
% 245.74/42.44 | | | | | | | | |
% 245.74/42.44 | | | | | | | | End of split
% 245.74/42.44 | | | | | | | |
% 245.74/42.44 | | | | | | | End of split
% 245.74/42.44 | | | | | | |
% 245.74/42.44 | | | | | | End of split
% 245.74/42.44 | | | | | |
% 245.74/42.44 | | | | | End of split
% 245.74/42.44 | | | | |
% 245.74/42.44 | | | | Case 2:
% 245.74/42.44 | | | | |
% 245.74/42.44 | | | | | (5800) all_12_2 = e2
% 245.74/42.44 | | | | | (5801) ( ~ (all_12_0 = e1) & op(all_12_1, all_12_1) = all_12_0 &
% 245.74/42.44 | | | | | op(e2, e3) = all_12_1 & $i(all_12_0) & $i(all_12_1)) | ( ~
% 245.74/42.44 | | | | | (all_12_1 = e0) & op(e2, e3) = all_12_1 & $i(all_12_1))
% 245.74/42.44 | | | | |
% 245.74/42.44 | | | | | COMBINE_EQS: (324), (5800) imply:
% 245.74/42.44 | | | | | (5802) all_6_2 = e2
% 245.74/42.44 | | | | |
% 245.74/42.44 | | | | | COMBINE_EQS: (281), (5802) imply:
% 245.74/42.44 | | | | | (5803) all_46_2 = e2
% 245.74/42.44 | | | | |
% 245.74/42.44 | | | | | REDUCE: (338), (5802) imply:
% 245.74/42.44 | | | | | (5804) ~ (all_52_1 = e2)
% 245.74/42.44 | | | | |
% 245.74/42.44 | | | | | REDUCE: (340), (5802) imply:
% 245.74/42.44 | | | | | (5805) ~ (all_52_2 = e2)
% 245.74/42.44 | | | | |
% 245.74/42.44 | | | | | REDUCE: (342), (5802) imply:
% 245.74/42.44 | | | | | (5806) ~ (all_52_3 = e2)
% 245.74/42.44 | | | | |
% 245.74/42.44 | | | | | REDUCE: (344), (5802) imply:
% 245.74/42.44 | | | | | (5807) ~ (all_52_4 = e2)
% 245.74/42.44 | | | | |
% 245.74/42.44 | | | | | REDUCE: (346), (5802) imply:
% 245.74/42.44 | | | | | (5808) ~ (all_52_8 = e2)
% 245.74/42.44 | | | | |
% 245.74/42.44 | | | | | REDUCE: (348), (5802) imply:
% 245.74/42.44 | | | | | (5809) ~ (all_52_12 = e2)
% 245.74/42.44 | | | | |
% 245.74/42.44 | | | | | BETA: splitting (234) gives:
% 245.74/42.44 | | | | |
% 245.74/42.44 | | | | | Case 1:
% 245.74/42.44 | | | | | |
% 245.74/42.44 | | | | | | (5810) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 &
% 245.74/42.44 | | | | | | op(e3, e2) = e2)
% 245.74/42.44 | | | | | |
% 245.74/42.44 | | | | | | BETA: splitting (5810) gives:
% 245.74/42.44 | | | | | |
% 245.74/42.44 | | | | | | Case 1:
% 245.74/42.44 | | | | | | |
% 245.74/42.44 | | | | | | | (5811) all_56_0 = e2 & op(e3, e3) = e2
% 245.74/42.44 | | | | | | |
% 245.74/42.44 | | | | | | | ALPHA: (5811) implies:
% 245.74/42.44 | | | | | | | (5812) all_56_0 = e2
% 245.74/42.44 | | | | | | | (5813) op(e3, e3) = e2
% 245.74/42.44 | | | | | | |
% 245.74/42.44 | | | | | | | BETA: splitting (52) gives:
% 245.74/42.44 | | | | | | |
% 245.74/42.44 | | | | | | | Case 1:
% 245.74/42.44 | | | | | | | |
% 245.74/42.44 | | | | | | | | (5814) ~ (all_14_2 = e1)
% 245.74/42.44 | | | | | | | |
% 245.74/42.44 | | | | | | | | BETA: splitting (58) gives:
% 245.74/42.44 | | | | | | | |
% 245.74/42.44 | | | | | | | | Case 1:
% 245.74/42.44 | | | | | | | | |
% 245.74/42.44 | | | | | | | | | (5815) ~ (all_18_2 = e3)
% 245.74/42.44 | | | | | | | | |
% 245.74/42.44 | | | | | | | | | REDUCE: (301), (5815) imply:
% 245.74/42.44 | | | | | | | | | (5816) ~ (all_14_2 = e3)
% 245.74/42.44 | | | | | | | | |
% 245.74/42.44 | | | | | | | | | BETA: splitting (61) gives:
% 245.74/42.44 | | | | | | | | |
% 245.74/42.44 | | | | | | | | | Case 1:
% 245.74/42.44 | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | (5817) ~ (all_20_2 = e3)
% 245.74/42.44 | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | REDUCE: (325), (5817) imply:
% 245.74/42.44 | | | | | | | | | | (5818) ~ (all_10_2 = e3)
% 245.74/42.44 | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | BETA: splitting (64) gives:
% 245.74/42.44 | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | Case 1:
% 245.74/42.44 | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | (5819) ~ (all_22_2 = e0)
% 245.74/42.44 | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | REDUCE: (251), (5819) imply:
% 245.74/42.44 | | | | | | | | | | | (5820) ~ (all_10_2 = e0)
% 245.74/42.44 | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | BETA: splitting (194) gives:
% 245.74/42.44 | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | Case 1:
% 245.74/42.44 | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | (5821) all_54_10 = e3
% 245.74/42.44 | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | COMBINE_EQS: (336), (5821) imply:
% 245.74/42.44 | | | | | | | | | | | | (5822) all_10_2 = e3
% 245.74/42.44 | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | REDUCE: (5818), (5822) imply:
% 245.74/42.44 | | | | | | | | | | | | (5823) $false
% 245.74/42.44 | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | CLOSE: (5823) is inconsistent.
% 245.74/42.44 | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | Case 2:
% 245.74/42.44 | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | (5824) ~ (all_54_10 = e3)
% 245.74/42.44 | | | | | | | | | | | | (5825) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 245.74/42.44 | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | BETA: splitting (5825) gives:
% 245.74/42.44 | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | Case 1:
% 245.74/42.44 | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | (5826) all_54_10 = e2
% 245.74/42.44 | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | COMBINE_EQS: (336), (5826) imply:
% 245.74/42.44 | | | | | | | | | | | | | (5827) all_10_2 = e2
% 245.74/42.44 | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | REDUCE: (375), (5827) imply:
% 245.74/42.44 | | | | | | | | | | | | | (5828) $false
% 245.74/42.44 | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | CLOSE: (5828) is inconsistent.
% 245.74/42.44 | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | Case 2:
% 245.74/42.44 | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | (5829) ~ (all_54_10 = e2)
% 245.74/42.44 | | | | | | | | | | | | | (5830) all_54_10 = e1 | all_54_10 = e0
% 245.74/42.44 | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | BETA: splitting (5830) gives:
% 245.74/42.44 | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | Case 1:
% 245.74/42.44 | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | (5831) all_54_10 = e1
% 245.74/42.44 | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | COMBINE_EQS: (336), (5831) imply:
% 245.74/42.44 | | | | | | | | | | | | | | (5832) all_10_2 = e1
% 245.74/42.44 | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | REDUCE: (350), (5832) imply:
% 245.74/42.44 | | | | | | | | | | | | | | (5833) ~ (all_52_2 = e1)
% 245.74/42.44 | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | REDUCE: (361), (5832) imply:
% 245.74/42.44 | | | | | | | | | | | | | | (5834) ~ (all_52_6 = e1)
% 245.74/42.44 | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | REDUCE: (363), (5832) imply:
% 245.74/42.44 | | | | | | | | | | | | | | (5835) ~ (all_52_8 = e1)
% 245.74/42.44 | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | REDUCE: (366), (5832) imply:
% 245.74/42.44 | | | | | | | | | | | | | | (5836) ~ (all_52_11 = e1)
% 245.74/42.44 | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | REDUCE: (368), (5832) imply:
% 245.74/42.44 | | | | | | | | | | | | | | (5837) ~ (all_52_14 = e1)
% 245.74/42.44 | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | REDUCE: (5818), (5832) imply:
% 245.74/42.44 | | | | | | | | | | | | | | (5838) ~ (e3 = e1)
% 245.74/42.44 | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | REDUCE: (375), (5832) imply:
% 245.74/42.44 | | | | | | | | | | | | | | (5839) ~ (e2 = e1)
% 245.74/42.44 | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | REDUCE: (45), (5832) imply:
% 245.74/42.44 | | | | | | | | | | | | | | (5840) op(e1, e1) = e1
% 245.74/42.44 | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 245.74/42.44 | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | Case 1:
% 245.74/42.44 | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | (5841) ~ (all_24_2 = e1)
% 245.74/42.44 | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | REDUCE: (318), (5841) imply:
% 245.74/42.44 | | | | | | | | | | | | | | | (5842) ~ (all_4_2 = e1)
% 245.74/42.44 | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 245.74/42.44 | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | Case 1:
% 245.74/42.44 | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | (5843) ~ (all_28_2 = e2)
% 245.74/42.44 | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | REDUCE: (330), (5843) imply:
% 245.74/42.44 | | | | | | | | | | | | | | | | (5844) ~ (all_14_2 = e2)
% 245.74/42.44 | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 245.74/42.44 | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.44 | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | (5845) all_54_15 = e3
% 245.74/42.44 | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5845) imply:
% 245.74/42.44 | | | | | | | | | | | | | | | | | (5846) all_14_2 = e3
% 245.74/42.44 | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | REDUCE: (5816), (5846) imply:
% 245.74/42.44 | | | | | | | | | | | | | | | | | (5847) $false
% 245.74/42.44 | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | CLOSE: (5847) is inconsistent.
% 245.74/42.44 | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.44 | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | (5848) ~ (all_54_15 = e3)
% 245.74/42.44 | | | | | | | | | | | | | | | | | (5849) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 245.74/42.44 | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | BETA: splitting (5849) gives:
% 245.74/42.44 | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.44 | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | (5850) all_54_15 = e2
% 245.74/42.44 | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5850) imply:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | (5851) all_14_2 = e2
% 245.74/42.44 | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | REDUCE: (5844), (5851) imply:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | (5852) $false
% 245.74/42.44 | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | CLOSE: (5852) is inconsistent.
% 245.74/42.44 | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.44 | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | (5853) ~ (all_54_15 = e2)
% 245.74/42.44 | | | | | | | | | | | | | | | | | | (5854) all_54_15 = e1 | all_54_15 = e0
% 245.74/42.44 | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | BETA: splitting (5854) gives:
% 245.74/42.44 | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | (5855) all_54_15 = e1
% 245.74/42.44 | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5855) imply:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | (5856) all_14_2 = e1
% 245.74/42.44 | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | REDUCE: (5814), (5856) imply:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | (5857) $false
% 245.74/42.44 | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | CLOSE: (5857) is inconsistent.
% 245.74/42.44 | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | (5858) all_54_15 = e0
% 245.74/42.44 | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5858) imply:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | (5859) all_14_2 = e0
% 245.74/42.44 | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | REDUCE: (351), (5859) imply:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | (5860) ~ (all_52_3 = e0)
% 245.74/42.44 | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | REDUCE: (362), (5859) imply:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | (5861) ~ (all_52_7 = e0)
% 245.74/42.44 | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | REDUCE: (369), (5859) imply:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | (5862) ~ (all_52_11 = e0)
% 245.74/42.44 | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | REDUCE: (372), (5859) imply:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | (5863) ~ (all_52_14 = e0)
% 245.74/42.44 | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | REDUCE: (5844), (5859) imply:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | (5864) ~ (e2 = e0)
% 245.74/42.44 | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | REDUCE: (5814), (5859) imply:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | (5865) ~ (e1 = e0)
% 245.74/42.44 | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | REDUCE: (51), (5859) imply:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | (5866) op(e0, e0) = e0
% 245.74/42.44 | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (5867) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5867) gives:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | (5868) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5868) gives:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | (5869) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5804), (5869), (function-axioms) are
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1721.
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | (5870) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (51), (373), (5816), (5870),
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | #1871.
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | (5871) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (36), (162), (5834), (5840), (5842),
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | (5866), (5871), (function-axioms) are inconsistent
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | by sub-proof #1839.
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (5872) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5872) gives:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | (5873) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5873) gives:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | (5874) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 245.74/42.44 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (51), (5813), (5814), (5874),
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | #809.
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | (5875) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5875) gives:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | (5876) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5876) implies:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | (5877) op(e0, e0) = e1
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (5814), (5877), (function-axioms) are
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1865.
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | (5878) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5878) gives:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | (5879) all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5879) implies:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | (5880) all_57_28 = e0
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | (5881) all_57_25 = e3
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | (5882) ~ (all_57_27 = e2)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | (5883) ~ (all_57_26 = e0)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | (5884) op(e2, e2) = e0
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | (5885) op(e3, e0) = e3
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | (5886) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5886) gives:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (5887) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16))) & ((all_57_30 = e3 & op(e1,
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e3) | ( ~ (all_57_17 = e1) & op(e1,
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_17 & $i(all_57_17))) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5887) implies:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (5888) op(e3, all_57_25) = e0
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5881), (5888) imply:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (5889) op(e3, e3) = e0
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (5889), (function-axioms) are
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #808.
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (5890) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e2 & op(e3, e3) = e2) | ( ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & op(e3, e2) = all_57_19 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19))) & ((all_57_30 = e2 & op(e1,
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_20 = e1) & op(e1,
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_20 & $i(all_57_20))) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)))
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5890) implies:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (5891) op(e2, e0) = all_57_27
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (5892) op(e2, all_57_28) = e2
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5880), (5892) imply:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (5893) op(e2, e0) = e2
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5882), (5891), (5893), (function-axioms)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #807.
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | (5894) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5894) gives:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (5895) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5895) implies:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (5896) op(e1, e2) = all_57_20
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (5897) op(e1, e3) = all_57_17
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (5898) op(e1, all_57_20) = e2
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (5899) (all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5899) gives:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5900) all_57_26 = e1 & op(e3, e3) = e1
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5900) implies:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5901) op(e3, e3) = e1
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5813), (5901), (function-axioms) are
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20, e2, e1, simplifying with (162), (5896)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5902) all_57_20 = all_52_6
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17, e3, e1, simplifying with (163), (5897)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5903) all_57_17 = all_52_2
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e0,
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (36), (5884) gives:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5904) all_4_2 = e0
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (5885) gives:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5905) all_52_12 = e3
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (5904) imply:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5906) ~ (all_52_6 = e0)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (5905) imply:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5907) ~ (all_52_14 = e3)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5907) implies:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5908) ~ (all_52_14 = e3)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5898), (5902) imply:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5909) op(e1, all_52_6) = e2
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5910) all_54_11 = e3
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (5908), (5910) are inconsistent by
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1184.
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5911) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5911) gives:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5912) all_54_11 = e2
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (5912) imply:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5913) all_52_14 = e2
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5913) implies:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5914) all_52_14 = e2
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (5914) imply:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5915) ~ (all_52_6 = e2)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5916) all_54_9 = e3
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (5916) imply:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5917) all_52_6 = e3
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5917) implies:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5918) all_52_6 = e3
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5909), (5918) imply:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5919) op(e1, e3) = e2
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5805), (5919), (function-axioms) are
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #806.
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5920) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (5834), (5906), (5915), (5920) are
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #805.
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5921) all_54_11 = e1 | all_54_11 = e0
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (5837), (5863), (5921) are inconsistent by
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #804.
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (5922) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5922) implies:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (5923) (all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5881), (5883), (5923) are inconsistent by
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1469.
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | (5924) all_57_25 = e3 & all_57_30 = e0 & ~ (all_57_26 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e3, e3) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_26) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5924) implies:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | (5925) op(e1, e1) = e0
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5840), (5925), (function-axioms) are
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1857.
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | (5926) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5926) gives:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | (5927) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (5927), (function-axioms) are
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #803.
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | (5928) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5928) gives:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | (5929) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5929) implies:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | (5930) op(e1, e1) = e0
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5840), (5930), (function-axioms) are
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1857.
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | (5931) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5931) gives:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | (5932) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5932) implies:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | (5933) op(e1, e0) = e1
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (5837), (5933), (function-axioms) are
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1856.
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | (5934) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5934) implies:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | (5935) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5935) gives:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | (5936) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (157), (158), (159), (373),
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | (5813), (5842), (5860), (5861), (5862), (5935),
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | (5936), (function-axioms) are inconsistent by
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #796.
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | (5937) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5937) gives:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (5938) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 245.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5938) implies:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (5939) op(e1, e1) = e2
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5840), (5939), (function-axioms) are
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (5940) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5940) gives:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5941) all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5941) implies:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5942) op(e3, e3) = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (36), (157), (159), (373), (5840),
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5842), (5860), (5862), (5935), (5942),
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1823.
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5943) all_57_24 = e0 & all_57_28 = e1 & ~ (all_57_23 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e1) & op(e2, e2) = e1 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & op(e0, e1) = e0 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5943) implies:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5944) op(e2, e2) = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (5842), (5944), (function-axioms) are
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1867.
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.46 | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.46 | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | End of split
% 245.74/42.46 | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | End of split
% 245.74/42.46 | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | Case 2:
% 245.74/42.46 | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | (5945) all_28_2 = e2
% 245.74/42.46 | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (5945) imply:
% 245.74/42.46 | | | | | | | | | | | | | | | | (5946) all_14_2 = e2
% 245.74/42.46 | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | SIMP: (5946) implies:
% 245.74/42.46 | | | | | | | | | | | | | | | | (5947) all_14_2 = e2
% 245.74/42.46 | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | REDUCE: (369), (5947) imply:
% 245.74/42.46 | | | | | | | | | | | | | | | | (5948) ~ (all_52_11 = e2)
% 245.74/42.46 | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | REDUCE: (371), (5947) imply:
% 245.74/42.46 | | | | | | | | | | | | | | | | (5949) ~ (all_52_13 = e2)
% 245.74/42.46 | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | REDUCE: (5816), (5947) imply:
% 245.74/42.46 | | | | | | | | | | | | | | | | (5950) ~ (e3 = e2)
% 245.74/42.46 | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | REDUCE: (51), (5947) imply:
% 245.74/42.46 | | | | | | | | | | | | | | | | (5951) op(e0, e0) = e2
% 245.74/42.46 | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (36), (157), (160),
% 245.74/42.46 | | | | | | | | | | | | | | | | (162), (164), (167), (169), (206), (219), (238),
% 245.74/42.46 | | | | | | | | | | | | | | | | (239), (373), (5804), (5808), (5813), (5834),
% 245.74/42.46 | | | | | | | | | | | | | | | | (5837), (5840), (5842), (5948), (5949), (5951),
% 245.74/42.46 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.46 | | | | | | | | | | | | | | | | #782.
% 245.74/42.46 | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | End of split
% 245.74/42.46 | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | Case 2:
% 245.74/42.46 | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | (5952) all_24_2 = e1
% 245.74/42.46 | | | | | | | | | | | | | | | (5953) ( ~ (all_24_0 = e0) & op(all_24_1, all_24_1) =
% 245.74/42.46 | | | | | | | | | | | | | | | all_24_0 & op(e1, e2) = all_24_1 & $i(all_24_0)
% 245.74/42.46 | | | | | | | | | | | | | | | & $i(all_24_1)) | ( ~ (all_24_1 = e3) & op(e1,
% 245.74/42.46 | | | | | | | | | | | | | | | e2) = all_24_1 & $i(all_24_1))
% 245.74/42.46 | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | COMBINE_EQS: (318), (5952) imply:
% 245.74/42.46 | | | | | | | | | | | | | | | (5954) all_4_2 = e1
% 245.74/42.46 | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | REDUCE: (352), (5954) imply:
% 245.74/42.46 | | | | | | | | | | | | | | | (5955) ~ (all_52_4 = e1)
% 245.74/42.46 | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | REDUCE: (356), (5954) imply:
% 245.74/42.46 | | | | | | | | | | | | | | | (5956) ~ (all_52_7 = e1)
% 245.74/42.46 | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | REDUCE: (358), (5954) imply:
% 245.74/42.46 | | | | | | | | | | | | | | | (5957) ~ (all_52_9 = e1)
% 245.74/42.46 | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | REDUCE: (360), (5954) imply:
% 245.74/42.46 | | | | | | | | | | | | | | | (5958) ~ (all_52_13 = e1)
% 245.74/42.46 | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 245.74/42.46 | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | Case 1:
% 245.74/42.46 | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | (5959) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 245.74/42.46 | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | BETA: splitting (5959) gives:
% 245.74/42.46 | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.46 | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | (5960) all_56_0 = e1 & op(e3, e3) = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | ALPHA: (5960) implies:
% 245.74/42.46 | | | | | | | | | | | | | | | | | (5961) op(e3, e3) = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5813), (5961), (function-axioms) are
% 245.74/42.46 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 245.74/42.46 | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.46 | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | (5962) all_56_2 = e1 & op(e2, e3) = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | ALPHA: (5962) implies:
% 245.74/42.46 | | | | | | | | | | | | | | | | | (5963) all_56_2 = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 245.74/42.46 | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.46 | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | (5964) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 245.74/42.46 | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (158), (229), (235),
% 245.74/42.46 | | | | | | | | | | | | | | | | | | (5812), (5813), (5956), (5963), (5964),
% 245.74/42.46 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.46 | | | | | | | | | | | | | | | | | | #777.
% 245.74/42.46 | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.46 | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | (5965) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 245.74/42.46 | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (157), (5814), (5836), (5965),
% 245.74/42.46 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.46 | | | | | | | | | | | | | | | | | | #1543.
% 245.74/42.46 | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | End of split
% 245.74/42.46 | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | End of split
% 245.74/42.46 | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | Case 2:
% 245.74/42.46 | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | (5966) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 245.74/42.46 | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 245.74/42.46 | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | BETA: splitting (5966) gives:
% 245.74/42.46 | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.46 | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | (5967) all_56_6 = e1 & op(e1, e3) = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | ALPHA: (5967) implies:
% 245.74/42.46 | | | | | | | | | | | | | | | | | (5968) op(e1, e3) = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5833), (5968), (function-axioms) are
% 245.74/42.46 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1069.
% 245.74/42.46 | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.46 | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | (5969) all_56_12 = e1 & op(e0, e3) = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | ALPHA: (5969) implies:
% 245.74/42.46 | | | | | | | | | | | | | | | | | (5970) all_56_12 = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | | (5971) op(e0, e3) = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 245.74/42.46 | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.46 | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | (5972) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 245.74/42.46 | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (5813), (5955), (5972),
% 245.74/42.46 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.46 | | | | | | | | | | | | | | | | | | #776.
% 245.74/42.46 | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.46 | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | (5973) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 245.74/42.46 | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | BETA: splitting (5973) gives:
% 245.74/42.46 | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | (5974) all_56_4 = e1 & op(e3, e1) = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5835), (5974), (function-axioms) are
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 245.74/42.46 | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | (5975) all_56_9 = e1 & op(e3, e0) = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | ALPHA: (5975) implies:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | (5976) op(e3, e0) = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | (5977) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5977) gives:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | (5978) all_56_2 = e1 & op(e2, e3) = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5978) implies:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | (5979) all_56_2 = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (229), (235), (5812),
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | (5813), (5970), (5971), (5979), (function-axioms)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #778.
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | (5980) all_56_3 = e1 & op(e2, e2) = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5980) implies:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | (5981) all_56_3 = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | (5982) op(e2, e2) = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (5971) gives:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | (5983) all_52_3 = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | e1, e0, e3, simplifying with (168), (5976) gives:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | (5984) all_52_12 = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (5984) imply:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | (5985) ~ (all_52_13 = e1)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (5984) imply:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | (5986) ~ (all_52_14 = e1)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (5984) imply:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | (5987) ~ (all_14_2 = e1)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | (5988) ~ (all_28_2 = e2)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (330), (5988) imply:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | (5989) ~ (all_14_2 = e2)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | (5990) all_54_15 = e3
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (5816), (5990) are inconsistent by
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1489.
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | (5991) ~ (all_54_15 = e3)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | (5992) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5992) gives:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | (5993) all_54_15 = e2
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (5989), (5993) are inconsistent by
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1488.
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | (5994) ~ (all_54_15 = e2)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | (5995) all_54_15 = e1 | all_54_15 = e0
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5995) gives:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | (5996) all_54_15 = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (5814), (5996) are inconsistent by
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1487.
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | (5997) all_54_15 = e0
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5997) imply:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | (5998) all_14_2 = e0
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5998) implies:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | (5999) all_14_2 = e0
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (5999) imply:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | (6000) ~ (all_52_7 = e0)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (5999) imply:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | (6001) ~ (all_52_11 = e0)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5989), (5999) imply:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | (6002) ~ (e2 = e0)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5814), (5999) imply:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | (6003) ~ (e1 = e0)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (5999) imply:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | (6004) op(e0, e0) = e0
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (6005) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6005) gives:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6006) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6006) gives:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6007) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5804), (6007), (function-axioms) are
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1721.
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6008) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (5816), (5982), (6008),
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1541.
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6009) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6009) gives:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6010) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (5840), (6004), (6010),
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1841.
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6011) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6011) gives:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6012) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6012) implies:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6013) op(e1, e2) = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5834), (6013), (function-axioms) are
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1868.
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6014) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6014) gives:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6015) all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_30)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6015) implies:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6016) op(e0, e0) = e2
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6004), (6016), (function-axioms) are
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1842.
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6017) all_57_22 = e3 & all_57_28 = e1 & ~ (all_57_23 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & $i(all_57_23) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6017) implies:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6018) all_57_28 = e1
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6019) all_57_22 = e3
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6020) ~ (all_57_26 = e1)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6021) ~ (all_57_23 = e2)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6022) op(e3, e1) = e3
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6023) op(e3, e3) = all_57_26
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6024) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6018), (6019), (6020), (6021), (6024),
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #775.
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6025) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6025) gives:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6026) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6019), (6020), (6023), (6026), (function-axioms)
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #774.
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6027) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (121), (157), (169), (5840), (5971), (6022),
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6027), (function-axioms) are inconsistent by
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #773.
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (6028) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6028) gives:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6029) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6029) gives:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6030) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (51), (5813), (5814), (6030),
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #809.
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6031) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (51), (5814), (5840), (5982), (6031),
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1538.
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6032) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6032) gives:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6033) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (6033), (function-axioms) are
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #803.
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6034) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6034) gives:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6035) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6035) implies:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6036) op(e1, e1) = e0
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5840), (6036), (function-axioms) are
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1857.
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6037) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6037) gives:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6038) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6038) implies:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6039) op(e1, e0) = e1
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (5837), (6039), (function-axioms) are
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1856.
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6040) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6040) implies:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6041) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (157), (158), (5813), (5840), (5982),
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6000), (6001), (6041), (function-axioms) are
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #771.
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | (6042) all_28_2 = e2
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (6042) imply:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | (6043) all_14_2 = e2
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | SIMP: (6043) implies:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | (6044) all_14_2 = e2
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (6044) imply:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | (6045) ~ (all_52_13 = e2)
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (6044) imply:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | (6046) ~ (all_52_14 = e2)
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5816), (6044) imply:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | (6047) ~ (e3 = e2)
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (6044) imply:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | (6048) op(e0, e0) = e2
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | (6049) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (5804), (5981), (6049),
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | #770.
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | (6050) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6050) gives:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | (6051) all_56_5 = e2 & op(e2, e1) = e2
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6051) implies:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | (6052) op(e2, e1) = e2
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | (6053) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6053) gives:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (6054) all_56_6 = e2 & op(e1, e3) = e2
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6054) implies:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (6055) op(e1, e3) = e2
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5805), (6055), (function-axioms) are
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #806.
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (6056) all_56_7 = e2 & op(e1, e2) = e2
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6056) implies:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (6057) op(e1, e2) = e2
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5953) gives:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6058) ~ (all_24_0 = e0) & op(all_24_1, all_24_1) =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_0 & op(e1, e2) = all_24_1 & $i(all_24_0) &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6058) implies:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6059) op(e1, e2) = all_24_1
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (120), (133),
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (164), (167), (168), (169), (170), (210),
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (238), (239), (373), (5804), (5809),
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5813), (5837), (5840), (5958), (5982), (6045),
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6048), (6052), (6057), (6059), (function-axioms)
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #757.
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6060) ~ (all_24_1 = e3) & op(e1, e2) = all_24_1 &
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6060) implies:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6061) op(e1, e2) = all_24_1
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (120), (133),
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (164), (167), (168), (169), (170), (210),
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (238), (239), (373), (5804), (5809),
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5813), (5837), (5840), (5958), (5982), (6045),
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6048), (6052), (6057), (6061), (function-axioms)
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #757.
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | (6062) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6062) gives:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (6063) all_56_8 = e2 & op(e1, e1) = e2
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6063) implies:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (6064) op(e1, e1) = e2
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5840), (6064), (function-axioms) are
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (6065) all_56_11 = e2 & op(e1, e0) = e2
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6065) implies:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (6066) op(e1, e0) = e2
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (6046), (6066), (function-axioms) are
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #756.
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | (6067) all_56_10 = e2 & op(e2, e0) = e2
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6067) implies:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | (6068) op(e2, e0) = e2
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6045), (6068), (function-axioms) are
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1493.
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | (6069) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (5957), (5958), (6069),
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | | #755.
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | Case 2:
% 245.74/42.47 | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | (6070) all_54_10 = e0
% 245.74/42.47 | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | COMBINE_EQS: (336), (6070) imply:
% 245.74/42.47 | | | | | | | | | | | | | | (6071) all_10_2 = e0
% 245.74/42.47 | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | REDUCE: (5820), (6071) imply:
% 245.74/42.47 | | | | | | | | | | | | | | (6072) $false
% 245.74/42.47 | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | CLOSE: (6072) is inconsistent.
% 245.74/42.47 | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | End of split
% 245.74/42.47 | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | Case 2:
% 245.74/42.47 | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | (6073) all_22_2 = e0
% 245.74/42.47 | | | | | | | | | | | (6074) ( ~ (all_22_0 = e3) & op(all_22_1, all_22_1) =
% 245.74/42.47 | | | | | | | | | | | all_22_0 & op(e0, e1) = all_22_1 & $i(all_22_0)
% 245.74/42.47 | | | | | | | | | | | & $i(all_22_1)) | ( ~ (all_22_1 = e2) & op(e0,
% 245.74/42.47 | | | | | | | | | | | e1) = all_22_1 & $i(all_22_1))
% 245.74/42.47 | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | COMBINE_EQS: (251), (6073) imply:
% 245.74/42.47 | | | | | | | | | | | (6075) all_10_2 = e0
% 245.74/42.47 | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | COMBINE_EQS: (333), (6075) imply:
% 245.74/42.47 | | | | | | | | | | | (6076) all_38_2 = e0
% 245.74/42.47 | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | REDUCE: (350), (6075) imply:
% 245.74/42.47 | | | | | | | | | | | (6077) ~ (all_52_2 = e0)
% 245.74/42.47 | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | REDUCE: (366), (6075) imply:
% 245.74/42.47 | | | | | | | | | | | (6078) ~ (all_52_11 = e0)
% 245.74/42.47 | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | REDUCE: (5818), (6075) imply:
% 245.74/42.47 | | | | | | | | | | | (6079) ~ (e3 = e0)
% 245.74/42.47 | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | REDUCE: (375), (6075) imply:
% 245.74/42.47 | | | | | | | | | | | (6080) ~ (e2 = e0)
% 245.74/42.47 | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | REDUCE: (45), (6075) imply:
% 245.74/42.47 | | | | | | | | | | | (6081) op(e1, e1) = e0
% 245.74/42.47 | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | BETA: splitting (67) gives:
% 245.74/42.47 | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | Case 1:
% 245.74/42.47 | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | (6082) ~ (all_24_2 = e1)
% 245.74/42.47 | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | REDUCE: (318), (6082) imply:
% 245.74/42.47 | | | | | | | | | | | | (6083) ~ (all_4_2 = e1)
% 245.74/42.47 | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | BETA: splitting (73) gives:
% 245.74/42.47 | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | Case 1:
% 245.74/42.47 | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | (6084) ~ (all_28_2 = e2)
% 245.74/42.47 | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | REDUCE: (330), (6084) imply:
% 245.74/42.47 | | | | | | | | | | | | | (6085) ~ (all_14_2 = e2)
% 245.74/42.47 | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | BETA: splitting (189) gives:
% 245.74/42.47 | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | Case 1:
% 245.74/42.47 | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | (6086) all_54_15 = e3
% 245.74/42.47 | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | REF_CLOSE: (246), (5816), (6086) are inconsistent by
% 245.74/42.47 | | | | | | | | | | | | | | sub-proof #1489.
% 245.74/42.47 | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | Case 2:
% 245.74/42.47 | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | (6087) ~ (all_54_15 = e3)
% 245.74/42.47 | | | | | | | | | | | | | | (6088) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 245.74/42.47 | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | BETA: splitting (6088) gives:
% 245.74/42.47 | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | Case 1:
% 245.74/42.47 | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | (6089) all_54_15 = e2
% 245.74/42.47 | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | REF_CLOSE: (246), (6085), (6089) are inconsistent by
% 245.74/42.47 | | | | | | | | | | | | | | | sub-proof #1488.
% 245.74/42.47 | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | Case 2:
% 245.74/42.47 | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | (6090) ~ (all_54_15 = e2)
% 245.74/42.47 | | | | | | | | | | | | | | | (6091) all_54_15 = e1 | all_54_15 = e0
% 245.74/42.47 | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | BETA: splitting (6091) gives:
% 245.74/42.47 | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | Case 1:
% 245.74/42.47 | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | (6092) all_54_15 = e1
% 245.74/42.47 | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | REF_CLOSE: (246), (5814), (6092) are inconsistent by
% 245.74/42.47 | | | | | | | | | | | | | | | | sub-proof #1487.
% 245.74/42.47 | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | Case 2:
% 245.74/42.47 | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | (6093) all_54_15 = e0
% 245.74/42.47 | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6093) imply:
% 245.74/42.47 | | | | | | | | | | | | | | | | (6094) all_14_2 = e0
% 245.74/42.47 | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | SIMP: (6094) implies:
% 245.74/42.47 | | | | | | | | | | | | | | | | (6095) all_14_2 = e0
% 245.74/42.47 | | | | | | | | | | | | | | | |
% 245.74/42.47 | | | | | | | | | | | | | | | | REDUCE: (351), (6095) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | (6096) ~ (all_52_3 = e0)
% 245.74/42.48 | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | REDUCE: (370), (6095) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | (6097) ~ (all_52_12 = e0)
% 245.74/42.48 | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | REDUCE: (372), (6095) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | (6098) ~ (all_52_14 = e0)
% 245.74/42.48 | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | REDUCE: (5814), (6095) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | (6099) ~ (e1 = e0)
% 245.74/42.48 | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | REDUCE: (51), (6095) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | (6100) op(e0, e0) = e0
% 245.74/42.48 | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | (6101) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 245.74/42.48 | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 245.74/42.48 | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | BETA: splitting (6101) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | (6102) all_56_0 = e0 & op(e3, e3) = e0
% 245.74/42.48 | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | ALPHA: (6102) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | (6103) op(e3, e3) = e0
% 245.74/42.48 | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (6103), (function-axioms) are
% 245.74/42.48 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #808.
% 245.74/42.48 | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.48 | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | (6104) all_56_1 = e0 & op(e3, e2) = e0
% 245.74/42.48 | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | ALPHA: (6104) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | (6105) all_56_1 = e0
% 245.74/42.48 | | | | | | | | | | | | | | | | | | (6106) op(e3, e2) = e0
% 245.74/42.48 | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | (6107) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | BETA: splitting (6107) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | (6108) all_56_0 = e0 & op(e3, e3) = e0
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | ALPHA: (6108) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | (6109) op(e3, e3) = e0
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (6109), (function-axioms) are
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #808.
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | (6110) all_56_2 = e0 & op(e2, e3) = e0
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | ALPHA: (6110) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | (6111) op(e2, e3) = e0
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (6111) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | (6112) all_52_1 = e0
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e0,
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (6106) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | (6113) all_52_4 = e0
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (6112) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | (6114) ~ (all_52_2 = e0)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (6112) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | (6115) ~ (all_52_3 = e0)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (6113) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | (6116) ~ (all_52_7 = e0)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | SIMP: (6116) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | (6117) ~ (all_52_7 = e0)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (6113) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | (6118) ~ (all_52_12 = e0)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (6113) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | (6119) ~ (all_4_2 = e0)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | SIMP: (6119) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | (6120) ~ (all_4_2 = e0)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | (6121) ~ (all_46_2 = e2)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5803), (6121) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | (6122) $false
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | CLOSE: (6122) is inconsistent.
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | (6123) ( ~ (all_46_0 = e0) & op(all_46_1, all_46_1) =
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | all_46_0 & op(e2, e3) = all_46_1 & $i(all_46_0)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | & $i(all_46_1)) | ( ~ (all_46_1 = e1) & op(e2,
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | e3) = all_46_1 & $i(all_46_1))
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | (6124) all_54_5 = e3
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6124) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | (6125) all_4_2 = e3
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (6125) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | (6126) $false
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6126) is inconsistent.
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | (6127) ~ (all_54_5 = e3)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | (6128) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6128) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | (6129) all_54_5 = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6129) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | (6130) all_4_2 = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (6130) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | (6131) ~ (all_52_9 = e2)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (6130) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | (6132) ~ (all_52_13 = e2)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (6130) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | (6133) ~ (e3 = e2)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (6130) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | (6134) op(e2, e2) = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | (6135) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6135) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (6136) all_56_6 = e2 & op(e1, e3) = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6136) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (6137) op(e1, e3) = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5805), (6137), (function-axioms) are
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #806.
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (6138) all_56_7 = e2 & op(e1, e2) = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6138) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (6139) all_56_7 = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (6140) op(e1, e2) = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (6141) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6083), (6105), (6141),
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | #1079.
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (6142) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6142) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6143) all_56_7 = e1 & op(e1, e2) = e1
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6143) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6144) op(e1, e2) = e1
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6140), (6144), (function-axioms) are
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #768.
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6145) all_56_13 = e1 & op(e0, e2) = e1
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6145) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6146) all_56_13 = e1
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6147) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6147) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6148) all_56_9 = e2 & op(e3, e0) = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6148) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6149) all_56_9 = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (232), (236), (5813),
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6105), (6149), (function-axioms) are inconsistent
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #750.
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6150) all_56_10 = e2 & op(e2, e0) = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6150) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6151) op(e2, e0) = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6132), (6151), (function-axioms) are
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1493.
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6152) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6152) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6153) all_56_11 = e2 & op(e1, e0) = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6153) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6154) all_56_11 = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6155) op(e1, e0) = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6156) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6156) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6157) all_56_6 = e1 & op(e1, e3) = e1
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6157) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6158) all_56_6 = e1
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6159) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6159) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6160) all_56_0 = e3 & op(e3, e3) = e3
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6160) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6161) op(e3, e3) = e3
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5813), (6161), (function-axioms) are
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6162) all_56_2 = e3 & op(e2, e3) = e3
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6162) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6163) all_56_2 = e3
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (159), (229), (5813), (6096),
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6158), (6163), (function-axioms) are inconsistent
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #748.
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6164) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6164) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6165) all_56_6 = e3 & op(e1, e3) = e3
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6158), (6165) are inconsistent by sub-proof
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #747.
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6166) all_56_12 = e3 & op(e0, e3) = e3
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6166) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6167) all_56_12 = e3
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6168) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6168) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6169) all_56_6 = e3 & op(e1, e3) = e3
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6158), (6169) are inconsistent by sub-proof
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #747.
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6170) all_56_7 = e3 & op(e1, e2) = e3
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6170) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6171) all_56_7 = e3
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6139), (6171) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6172) e3 = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6167), (6172) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6173) all_56_12 = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (163), (229), (235), (5813),
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6077), (6158), (6173), (function-axioms) are
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #744.
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6174) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6174) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6175) all_56_8 = e3 & op(e1, e1) = e3
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (213), (215),
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (373), (6105), (6146), (6158), (6175),
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1470.
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6176) all_56_11 = e3 & op(e1, e0) = e3
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6176) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6177) all_56_11 = e3
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6154), (6177) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6178) e3 = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6178) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6179) e3 = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6167), (6179) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6180) all_56_12 = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (163), (229), (235), (5813),
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6077), (6158), (6180), (function-axioms) are
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #744.
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6181) all_56_7 = e1 & op(e1, e2) = e1
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6181) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6182) op(e1, e2) = e1
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6140), (6182), (function-axioms) are
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #768.
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6183) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (6081), (6155), (6183),
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1359.
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6184) all_56_15 = e2 & op(e0, e0) = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6184) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6185) op(e0, e0) = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6100), (6185), (function-axioms) are
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1842.
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | (6186) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6186) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (6187) all_56_8 = e2 & op(e1, e1) = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6187) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (6188) op(e1, e1) = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6081), (6188), (function-axioms) are
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1523.
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (6189) all_56_11 = e2 & op(e1, e0) = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6189) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (6190) all_56_11 = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (6191) op(e1, e0) = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6123) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (6192) ~ (all_46_0 = e0) & op(all_46_1, all_46_1) =
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_46_0 & op(e2, e3) = all_46_1 & $i(all_46_0) &
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5801), (6100), (6111), (6192), (function-axioms)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #742.
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (6193) ~ (all_46_1 = e1) & op(e2, e3) = all_46_1 &
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6193) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (6194) ~ (all_46_1 = e1)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (6195) op(e2, e3) = all_46_1
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6196) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (5808), (6131), (6196),
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | #741.
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6197) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6197) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6198) all_56_8 = e2 & op(e1, e1) = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6198) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6199) op(e1, e1) = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6081), (6199), (function-axioms) are
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1523.
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6200) all_56_14 = e2 & op(e0, e1) = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6200) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6201) op(e0, e1) = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5801) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6202) ~ (all_12_0 = e1) & op(all_12_1, all_12_1) =
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_0 & op(e2, e3) = all_12_1 & $i(all_12_0) &
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6202) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6203) ~ (all_12_0 = e1)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6204) op(e2, e3) = all_12_1
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6205) op(all_12_1, all_12_1) = all_12_0
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (6201) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6206) all_52_11 = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (6191) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6207) all_52_14 = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_46_1,
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (6111), (6195) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6208) all_46_1 = e0
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_46_1, e3, e2, simplifying with (6195), (6204)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6209) all_46_1 = all_12_1
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6208), (6209) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6210) all_12_1 = e0
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6205), (6210) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6211) op(e0, e0) = all_12_0
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6212) ~ (all_38_2 = e0)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6076), (6212) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6213) $false
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6213) is inconsistent.
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6214) ( ~ (all_38_0 = e2) & op(all_38_1, all_38_1) =
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_0 & op(e0, e1) = all_38_1 & $i(all_38_0)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_38_1)) | ( ~ (all_38_1 = e3) & op(e0,
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_38_1 & $i(all_38_1))
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6214) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6215) ~ (all_38_0 = e2) & op(all_38_1, all_38_1) =
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_0 & op(e0, e1) = all_38_1 & $i(all_38_0) &
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6215) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6216) ~ (all_38_0 = e2)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6217) op(e0, e1) = all_38_1
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6218) op(all_38_1, all_38_1) = all_38_0
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6074), (6134), (6201), (6216), (6217), (6218),
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #738.
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6219) ~ (all_38_1 = e3) & op(e0, e1) = all_38_1 &
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6219) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6220) ~ (all_38_1 = e3)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6221) op(e0, e1) = all_38_1
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6074) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6222) ~ (all_22_0 = e3) & op(all_22_1, all_22_1) =
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_0 & op(e0, e1) = all_22_1 & $i(all_22_0) &
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6222) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6223) ~ (all_22_0 = e3)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6224) op(e0, e1) = all_22_1
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6225) op(all_22_1, all_22_1) = all_22_0
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_12_0,
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (6100), (6211) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6226) all_12_0 = e0
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_38_1,
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (6201), (6221) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6227) all_38_1 = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_22_1,
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, e1, e0, simplifying with (6221), (6224)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6228) all_38_1 = all_22_1
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6227), (6228) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6229) all_22_1 = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6225), (6229) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6230) op(e2, e2) = all_22_0
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_22_0,
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (6134), (6230) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6231) all_22_0 = e2
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6232) all_54_3 = e3
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (6232) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6233) all_52_12 = e3
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6233) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6234) all_52_12 = e3
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (6234) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6235) ~ (all_52_8 = e3)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (6234) imply:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6236) op(e3, e0) = e3
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6237) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6237) gives:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6238) all_56_4 = e3 & op(e3, e1) = e3
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6238) implies:
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6239) op(e3, e1) = e3
% 245.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (6235), (6239), (function-axioms) are
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1599.
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6240) all_56_5 = e3 & op(e2, e1) = e3
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6240) implies:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6241) op(e2, e1) = e3
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6242) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (373), (5813), (6100), (6111), (6194),
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6195), (6236), (6241), (6242), (function-axioms)
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #735.
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6243) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6243) gives:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6244) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6244) implies:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6245) op(e1, e0) = all_57_29
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6246) op(e1, e1) = all_57_30
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6247) op(e1, all_57_30) = e1
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6248) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24))
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6248) gives:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6249) all_57_31 = e1 & op(e0, e0) = e1
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6249) implies:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6250) op(e0, e0) = e1
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (5814), (6250), (function-axioms) are
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1865.
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29, e0, e1, simplifying with (6191), (6245)
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6251) all_57_29 = e2
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (6081), (6246)
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6252) all_57_30 = e0
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6247), (6252) imply:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6253) op(e1, e0) = e1
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6191), (6253), (function-axioms) are
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1741.
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6254) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (6236), (6254), (function-axioms) are
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #734.
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6255) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6081), (6220), (6221), (6255),
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #733.
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6256) ~ (all_54_3 = e3)
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (270), (6256) imply:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6257) ~ (all_52_12 = e3)
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6258) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6258) gives:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6259) all_56_9 = e3 & op(e3, e0) = e3
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6259) implies:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6260) op(e3, e0) = e3
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (6257), (6260), (function-axioms) are
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1862.
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6261) all_56_10 = e3 & op(e2, e0) = e3
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6261) implies:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6262) all_56_10 = e3
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6263) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6263) gives:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6264) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6264) gives:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6265) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (268), (349), (6083), (6120), (6128),
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6265), (function-axioms) are inconsistent by
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1843.
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6266) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (51), (373), (5816), (6266),
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1871.
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6267) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6267) gives:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6268) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (206), (210), (6081),
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6190), (6191), (6262), (6268), (function-axioms)
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #732.
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6269) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6269) gives:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6270) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6270) implies:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6271) all_57_26 = e2
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6272) all_57_20 = e1
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6273) ~ (all_57_19 = e3)
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6274) op(e1, e2) = e1
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6275) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6081), (6271), (6273), (6274), (6275),
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #731.
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6276) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6276) gives:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6277) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6277) implies:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6278) op(e1, all_57_20) = e2
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6272), (6278) imply:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6279) op(e1, e1) = e2
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6081), (6279), (function-axioms) are
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1523.
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6280) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6280) implies:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6281) op(e0, e1) = all_57_24
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6282) op(e0, e2) = all_57_21
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6283) op(e0, all_57_24) = e1
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6284) (all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (128), (158), (162), (6134), (6201), (6274),
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6281), (6282), (6283), (6284), (function-axioms)
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #730.
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6285) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (36), (206), (210),
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6083), (6190), (6191), (6262), (6285),
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #729.
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6286) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6286) gives:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6287) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6287) gives:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6288) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (51), (5813), (5814), (6288),
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #809.
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6289) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (168), (5814), (6257), (6289),
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1860.
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6290) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6290) gives:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6291) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (6291), (function-axioms) are
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #803.
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6292) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6292) gives:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6293) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6293) implies:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6294) op(e2, e0) = e2
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6132), (6294), (function-axioms) are
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1493.
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6295) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6295) gives:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6296) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6296) implies:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6297) op(e1, e0) = e1
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6191), (6297), (function-axioms) are
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1741.
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6298) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6298) implies:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6299) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6299) gives:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6300) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (157), (158), (159), (373),
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5813), (6078), (6083), (6096), (6117), (6299),
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6300), (function-axioms) are inconsistent by
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #796.
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6301) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (36), (157), (373), (6078), (6081),
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6083), (6299), (6301), (function-axioms) are
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #728.
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6302) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (51), (5816), (6190), (6302),
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1637.
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6303) ~ (all_22_1 = e2) & op(e0, e1) = all_22_1 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6303) implies:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6304) ~ (all_22_1 = e2)
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6305) op(e0, e1) = all_22_1
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6201), (6304), (6305), (function-axioms) are
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #739.
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6306) ~ (all_12_1 = e0) & op(e2, e3) = all_12_1 &
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6306) implies:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6307) ~ (all_12_1 = e0)
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6308) op(e2, e3) = all_12_1
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6111), (6195), (6307), (6308), (function-axioms)
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #743.
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | (6309) all_54_5 = e1 | all_54_5 = e0
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (6083), (6120), (6309) are inconsistent by
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1845.
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | (6310) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 245.74/42.50 | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (6077), (6096), (6310),
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | #1443.
% 245.74/42.50 | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.50 | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | (6311) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 245.74/42.50 | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 245.74/42.50 | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (218), (219),
% 245.74/42.50 | | | | | | | | | | | | | | | | | (220), (6081), (6097), (6311), (function-axioms)
% 245.74/42.50 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1513.
% 245.74/42.50 | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | End of split
% 245.74/42.50 | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | Case 2:
% 245.74/42.50 | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | (6312) all_28_2 = e2
% 245.74/42.50 | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | COMBINE_EQS: (330), (6312) imply:
% 245.74/42.50 | | | | | | | | | | | | | (6313) all_14_2 = e2
% 245.74/42.50 | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | SIMP: (6313) implies:
% 245.74/42.50 | | | | | | | | | | | | | (6314) all_14_2 = e2
% 245.74/42.50 | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | REDUCE: (369), (6314) imply:
% 245.74/42.50 | | | | | | | | | | | | | (6315) ~ (all_52_11 = e2)
% 245.74/42.50 | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | REDUCE: (372), (6314) imply:
% 245.74/42.50 | | | | | | | | | | | | | (6316) ~ (all_52_14 = e2)
% 245.74/42.50 | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | REDUCE: (5816), (6314) imply:
% 245.74/42.50 | | | | | | | | | | | | | (6317) ~ (e3 = e2)
% 245.74/42.50 | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | REDUCE: (51), (6314) imply:
% 245.74/42.50 | | | | | | | | | | | | | (6318) op(e0, e0) = e2
% 245.74/42.50 | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | BETA: splitting (215) gives:
% 245.74/42.50 | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | Case 1:
% 245.74/42.50 | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | (6319) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 245.74/42.50 | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 245.74/42.50 | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | BETA: splitting (6319) gives:
% 245.74/42.50 | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | Case 1:
% 245.74/42.50 | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | (6320) all_56_6 = e2 & op(e1, e3) = e2
% 245.74/42.50 | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | ALPHA: (6320) implies:
% 245.74/42.50 | | | | | | | | | | | | | | | (6321) op(e1, e3) = e2
% 245.74/42.50 | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | REF_CLOSE: (163), (5805), (6321), (function-axioms) are
% 245.74/42.50 | | | | | | | | | | | | | | | inconsistent by sub-proof #806.
% 245.74/42.50 | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | Case 2:
% 245.74/42.50 | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | (6322) all_56_7 = e2 & op(e1, e2) = e2
% 245.74/42.50 | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | ALPHA: (6322) implies:
% 245.74/42.50 | | | | | | | | | | | | | | | (6323) op(e1, e2) = e2
% 245.74/42.50 | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 245.74/42.50 | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | Case 1:
% 245.74/42.50 | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | (6324) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 245.74/42.50 | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 245.74/42.50 | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | BETA: splitting (6324) gives:
% 245.74/42.50 | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.50 | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | (6325) all_56_4 = e2 & op(e3, e1) = e2
% 245.74/42.50 | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | ALPHA: (6325) implies:
% 245.74/42.50 | | | | | | | | | | | | | | | | | (6326) op(e3, e1) = e2
% 245.74/42.50 | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5808), (6326), (function-axioms) are
% 245.74/42.50 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #791.
% 245.74/42.50 | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.50 | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | (6327) all_56_5 = e2 & op(e2, e1) = e2
% 245.74/42.50 | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | ALPHA: (6327) implies:
% 245.74/42.50 | | | | | | | | | | | | | | | | | (6328) op(e2, e1) = e2
% 245.74/42.50 | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 245.74/42.50 | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (6323) gives:
% 245.74/42.50 | | | | | | | | | | | | | | | | | (6329) all_52_6 = e2
% 245.74/42.50 | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 245.74/42.50 | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (6328) gives:
% 245.74/42.50 | | | | | | | | | | | | | | | | | (6330) all_52_9 = e2
% 245.74/42.50 | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | REDUCE: (117), (6330) imply:
% 245.74/42.50 | | | | | | | | | | | | | | | | | (6331) ~ (all_52_13 = e2)
% 245.74/42.50 | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | SIMP: (6331) implies:
% 245.74/42.50 | | | | | | | | | | | | | | | | | (6332) ~ (all_52_13 = e2)
% 245.74/42.50 | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | REDUCE: (358), (6330) imply:
% 245.74/42.50 | | | | | | | | | | | | | | | | | (6333) ~ (all_4_2 = e2)
% 245.74/42.50 | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | SIMP: (6333) implies:
% 245.74/42.50 | | | | | | | | | | | | | | | | | (6334) ~ (all_4_2 = e2)
% 245.74/42.50 | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 245.74/42.50 | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.50 | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | (6335) all_54_5 = e3
% 245.74/42.50 | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6335) imply:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | (6336) all_4_2 = e3
% 245.74/42.50 | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | REDUCE: (373), (6336) imply:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | (6337) $false
% 245.74/42.50 | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | CLOSE: (6337) is inconsistent.
% 245.74/42.50 | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.50 | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | (6338) ~ (all_54_5 = e3)
% 245.74/42.50 | | | | | | | | | | | | | | | | | | (6339) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 245.74/42.50 | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | BETA: splitting (6339) gives:
% 245.74/42.50 | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | (6340) all_54_5 = e2
% 245.74/42.50 | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6340) imply:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | (6341) all_4_2 = e2
% 245.74/42.50 | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | REDUCE: (6334), (6341) imply:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | (6342) $false
% 245.74/42.50 | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | CLOSE: (6342) is inconsistent.
% 245.74/42.50 | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | (6343) ~ (all_54_5 = e2)
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | (6344) all_54_5 = e1 | all_54_5 = e0
% 245.74/42.50 | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | BETA: splitting (6344) gives:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | (6345) all_54_5 = e1
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6345) imply:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | (6346) all_4_2 = e1
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | REDUCE: (6083), (6346) imply:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | (6347) $false
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | CLOSE: (6347) is inconsistent.
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | (6348) all_54_5 = e0
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6348) imply:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | (6349) all_4_2 = e0
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | REDUCE: (356), (6349) imply:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | (6350) ~ (all_52_7 = e0)
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | REDUCE: (6083), (6349) imply:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | (6351) ~ (e1 = e0)
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (6349) imply:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | (6352) op(e2, e2) = e0
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.50 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | (6353) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6353) gives:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (6354) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16))) & ((all_57_30 = e3 & op(e1,
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | e1) = e3) | ( ~ (all_57_17 = e1) & op(e1,
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_17 & $i(all_57_17))) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6354) implies:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (6355) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18))
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (167),
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (229), (373), (5804), (5813),
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (6077), (6318), (6352), (6355), (function-axioms)
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #723.
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (6356) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e2 & op(e3, e3) = e2) | ( ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & op(e3, e2) = all_57_19 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19))) & ((all_57_30 = e2 & op(e1,
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_20 = e1) & op(e1,
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_20 & $i(all_57_20))) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)))
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6356) implies:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (6357) op(e2, e0) = all_57_27
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (6358) op(e2, e2) = all_57_28
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (6359) op(e2, all_57_28) = e2
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (164), (206), (6318), (6332), (6352), (6357),
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (6358), (6359), (function-axioms) are inconsistent
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #790.
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | (6360) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6360) gives:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (6361) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6361) implies:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (6362) (all_57_28 = e1 & op(e2, e2) = e1) | ( ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & op(e2, e1) = all_57_23 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6328), (6352), (6362), (function-axioms) are
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1789.
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (6363) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6363) implies:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (6364) (all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6364) gives:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | (6365) all_57_26 = e0 & op(e3, e3) = e0
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6365) implies:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | (6366) op(e3, e3) = e0
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (6366), (function-axioms) are
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #808.
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | (6367) ~ (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6367) implies:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | (6368) ~ (all_57_25 = e3)
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | (6369) op(e3, e0) = all_57_25
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (6370) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6370) gives:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | (6371) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6371) gives:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (6372) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5804), (6372), (function-axioms) are
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1721.
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (6373) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (6318), (6373),
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | #795.
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | (6374) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (5813), (6081), (6323), (6328), (6374),
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | #765.
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (6375) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6375) gives:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | (6376) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6376) gives:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (6377) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5813), (6318), (6377), (function-axioms) are
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #792.
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (6378) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6318), (6368), (6369), (6378),
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | #721.
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | (6379) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6379) gives:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (6380) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (6380), (function-axioms) are
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #803.
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (6381) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (36), (157), (158), (373),
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (6078), (6081), (6083), (6350), (6352), (6381),
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | #719.
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.51 | | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.51 | | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | | End of split
% 245.74/42.51 | | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | End of split
% 245.74/42.51 | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | Case 2:
% 245.74/42.51 | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | (6382) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 245.74/42.51 | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 245.74/42.51 | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (6081), (6315), (6382),
% 245.74/42.51 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.51 | | | | | | | | | | | | | | | | #718.
% 245.74/42.51 | | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | | End of split
% 245.74/42.51 | | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | End of split
% 245.74/42.51 | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | Case 2:
% 245.74/42.51 | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | (6383) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 245.74/42.51 | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 245.74/42.51 | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (6081), (6316), (6383),
% 245.74/42.51 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.51 | | | | | | | | | | | | | | #717.
% 245.74/42.51 | | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | | End of split
% 245.74/42.51 | | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | End of split
% 245.74/42.51 | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | Case 2:
% 245.74/42.51 | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | (6384) all_24_2 = e1
% 245.74/42.51 | | | | | | | | | | | | (6385) ( ~ (all_24_0 = e0) & op(all_24_1, all_24_1) =
% 245.74/42.51 | | | | | | | | | | | | all_24_0 & op(e1, e2) = all_24_1 & $i(all_24_0)
% 245.74/42.51 | | | | | | | | | | | | & $i(all_24_1)) | ( ~ (all_24_1 = e3) & op(e1,
% 245.74/42.51 | | | | | | | | | | | | e2) = all_24_1 & $i(all_24_1))
% 245.74/42.51 | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | COMBINE_EQS: (318), (6384) imply:
% 245.74/42.51 | | | | | | | | | | | | (6386) all_4_2 = e1
% 245.74/42.51 | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | SIMP: (6386) implies:
% 245.74/42.51 | | | | | | | | | | | | (6387) all_4_2 = e1
% 245.74/42.51 | | | | | | | | | | | |
% 245.74/42.51 | | | | | | | | | | | | REDUCE: (352), (6387) imply:
% 245.74/42.52 | | | | | | | | | | | | (6388) ~ (all_52_4 = e1)
% 245.74/42.52 | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | REDUCE: (354), (6387) imply:
% 245.74/42.52 | | | | | | | | | | | | (6389) ~ (all_52_6 = e1)
% 245.74/42.52 | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | REDUCE: (356), (6387) imply:
% 245.74/42.52 | | | | | | | | | | | | (6390) ~ (all_52_7 = e1)
% 245.74/42.52 | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | REDUCE: (358), (6387) imply:
% 245.74/42.52 | | | | | | | | | | | | (6391) ~ (all_52_9 = e1)
% 245.74/42.52 | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | REDUCE: (360), (6387) imply:
% 245.74/42.52 | | | | | | | | | | | | (6392) ~ (all_52_13 = e1)
% 245.74/42.52 | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | REDUCE: (373), (6387) imply:
% 245.74/42.52 | | | | | | | | | | | | (6393) ~ (e3 = e1)
% 245.74/42.52 | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | REDUCE: (36), (6387) imply:
% 245.74/42.52 | | | | | | | | | | | | (6394) op(e2, e2) = e1
% 245.74/42.52 | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | BETA: splitting (222) gives:
% 245.74/42.52 | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | Case 1:
% 245.74/42.52 | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | (6395) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 245.74/42.52 | | | | | | | | | | | | | & op(e2, e2) = e1)
% 245.74/42.52 | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | BETA: splitting (6395) gives:
% 245.74/42.52 | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | Case 1:
% 245.74/42.52 | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | (6396) all_56_2 = e1 & op(e2, e3) = e1
% 245.74/42.52 | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | ALPHA: (6396) implies:
% 245.74/42.52 | | | | | | | | | | | | | | (6397) all_56_2 = e1
% 245.74/42.52 | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 245.74/42.52 | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | Case 1:
% 245.74/42.52 | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | (6398) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 245.74/42.52 | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 245.74/42.52 | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (158), (229), (235),
% 245.74/42.52 | | | | | | | | | | | | | | | (5812), (5813), (6390), (6397), (6398),
% 245.74/42.52 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.52 | | | | | | | | | | | | | | | #777.
% 245.74/42.52 | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | Case 2:
% 245.74/42.52 | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | (6399) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 245.74/42.52 | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 245.74/42.52 | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | BETA: splitting (6399) gives:
% 245.74/42.52 | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | Case 1:
% 245.74/42.52 | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | (6400) all_56_14 = e1 & op(e0, e1) = e1
% 245.74/42.52 | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | ALPHA: (6400) implies:
% 245.74/42.52 | | | | | | | | | | | | | | | | (6401) all_56_14 = e1
% 245.74/42.52 | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (219), (221),
% 245.74/42.52 | | | | | | | | | | | | | | | | (224), (5808), (6081), (6394), (6397), (6401),
% 245.74/42.52 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.52 | | | | | | | | | | | | | | | | #714.
% 245.74/42.52 | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | Case 2:
% 245.74/42.52 | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | (6402) all_56_15 = e1 & op(e0, e0) = e1
% 245.74/42.52 | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | ALPHA: (6402) implies:
% 245.74/42.52 | | | | | | | | | | | | | | | | (6403) op(e0, e0) = e1
% 245.74/42.52 | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | REF_CLOSE: (51), (5814), (6403), (function-axioms) are
% 245.74/42.52 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1865.
% 245.74/42.52 | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | End of split
% 245.74/42.52 | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | End of split
% 245.74/42.52 | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | Case 2:
% 245.74/42.52 | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | (6404) all_56_3 = e1 & op(e2, e2) = e1
% 245.74/42.52 | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | ALPHA: (6404) implies:
% 245.74/42.52 | | | | | | | | | | | | | | (6405) all_56_3 = e1
% 245.74/42.52 | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 245.74/42.52 | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | Case 1:
% 245.74/42.52 | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | (6406) ~ (all_28_2 = e2)
% 245.74/42.52 | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | REDUCE: (330), (6406) imply:
% 245.74/42.52 | | | | | | | | | | | | | | | (6407) ~ (all_14_2 = e2)
% 245.74/42.52 | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 245.74/42.52 | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | Case 1:
% 245.74/42.52 | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | (6408) all_54_15 = e3
% 245.74/42.52 | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6408) imply:
% 245.74/42.52 | | | | | | | | | | | | | | | | (6409) all_14_2 = e3
% 245.74/42.52 | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | REDUCE: (5816), (6409) imply:
% 245.74/42.52 | | | | | | | | | | | | | | | | (6410) $false
% 245.74/42.52 | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | CLOSE: (6410) is inconsistent.
% 245.74/42.52 | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | Case 2:
% 245.74/42.52 | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | (6411) ~ (all_54_15 = e3)
% 245.74/42.52 | | | | | | | | | | | | | | | | (6412) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 245.74/42.52 | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | BETA: splitting (6412) gives:
% 245.74/42.52 | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.52 | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | (6413) all_54_15 = e2
% 245.74/42.52 | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6413) imply:
% 245.74/42.52 | | | | | | | | | | | | | | | | | (6414) all_14_2 = e2
% 245.74/42.52 | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | REDUCE: (6407), (6414) imply:
% 245.74/42.52 | | | | | | | | | | | | | | | | | (6415) $false
% 245.74/42.52 | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | CLOSE: (6415) is inconsistent.
% 245.74/42.52 | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.52 | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | (6416) ~ (all_54_15 = e2)
% 245.74/42.52 | | | | | | | | | | | | | | | | | (6417) all_54_15 = e1 | all_54_15 = e0
% 245.74/42.52 | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | BETA: splitting (6417) gives:
% 245.74/42.52 | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.52 | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | (6418) all_54_15 = e1
% 245.74/42.52 | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6418) imply:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | (6419) all_14_2 = e1
% 245.74/42.52 | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | REDUCE: (5814), (6419) imply:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | (6420) $false
% 245.74/42.52 | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | CLOSE: (6420) is inconsistent.
% 245.74/42.52 | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.52 | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | (6421) all_54_15 = e0
% 245.74/42.52 | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6421) imply:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | (6422) all_14_2 = e0
% 245.74/42.52 | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | REDUCE: (351), (6422) imply:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | (6423) ~ (all_52_3 = e0)
% 245.74/42.52 | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | REDUCE: (362), (6422) imply:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | (6424) ~ (all_52_7 = e0)
% 245.74/42.52 | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | REDUCE: (5814), (6422) imply:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | (6425) ~ (e1 = e0)
% 245.74/42.52 | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | REDUCE: (51), (6422) imply:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | (6426) op(e0, e0) = e0
% 245.74/42.52 | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 245.74/42.52 | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | (6427) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | BETA: splitting (6427) gives:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | (6428) all_56_1 = e0 & op(e3, e2) = e0
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | ALPHA: (6428) implies:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | (6429) all_56_1 = e0
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | (6430) op(e3, e2) = e0
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | (6431) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6431) gives:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | (6432) all_56_2 = e0 & op(e2, e3) = e0
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6432) implies:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | (6433) all_56_2 = e0
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | (6434) op(e2, e3) = e0
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (6434) gives:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | (6435) all_52_1 = e0
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e0,
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (6430) gives:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | (6436) all_52_4 = e0
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (6435) imply:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | (6437) ~ (all_52_2 = e0)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (6435) imply:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | (6438) ~ (all_52_3 = e0)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (6435) imply:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | (6439) ~ (all_52_9 = e0)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | SIMP: (6439) implies:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | (6440) ~ (all_52_9 = e0)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (6435) imply:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | (6441) ~ (all_52_13 = e0)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | SIMP: (6441) implies:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | (6442) ~ (all_52_13 = e0)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (6436) imply:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | (6443) ~ (all_52_7 = e0)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (6436) imply:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | (6444) ~ (all_52_8 = e0)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | SIMP: (6444) implies:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | (6445) ~ (all_52_8 = e0)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (6436) imply:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | (6446) ~ (all_52_12 = e0)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | SIMP: (6446) implies:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | (6447) ~ (all_52_12 = e0)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | (6448) ~ (all_46_2 = e2)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5803), (6448) imply:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | (6449) $false
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6449) is inconsistent.
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | (6450) ( ~ (all_46_0 = e0) & op(all_46_1, all_46_1) =
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | all_46_0 & op(e2, e3) = all_46_1 & $i(all_46_0)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_46_1)) | ( ~ (all_46_1 = e1) & op(e2,
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_46_1 & $i(all_46_1))
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5801) gives:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | (6451) ~ (all_12_0 = e1) & op(all_12_1, all_12_1) =
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | all_12_0 & op(e2, e3) = all_12_1 & $i(all_12_0) &
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6451) implies:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | (6452) ~ (all_12_0 = e1)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | (6453) op(e2, e3) = all_12_1
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | (6454) op(all_12_1, all_12_1) = all_12_0
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_12_1,
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (6434), (6453) gives:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | (6455) all_12_1 = e0
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6454), (6455) imply:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | (6456) op(e0, e0) = all_12_0
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6450) gives:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | (6457) ~ (all_46_0 = e0) & op(all_46_1, all_46_1) =
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_46_0 & op(e2, e3) = all_46_1 & $i(all_46_0) &
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5801), (6426), (6434), (6457), (function-axioms)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #742.
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | (6458) ~ (all_46_1 = e1) & op(e2, e3) = all_46_1 &
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6458) implies:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | (6459) ~ (all_46_1 = e1)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | (6460) op(e2, e3) = all_46_1
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_12_0,
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (6426), (6456) gives:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | (6461) all_12_0 = e0
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_46_1,
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (6434), (6460) gives:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | (6462) all_46_1 = e0
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (6463) all_54_2 = e3
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (6463) imply:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (6464) all_52_8 = e3
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6464) implies:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (6465) all_52_8 = e3
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (6465) imply:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (6466) ~ (all_52_9 = e3)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6466) implies:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (6467) ~ (all_52_9 = e3)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (6465) imply:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (6468) ~ (all_52_12 = e3)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6468) implies:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (6469) ~ (all_52_12 = e3)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (6465) imply:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (6470) op(e3, e1) = e3
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6471) all_54_6 = e3
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (6467), (6471) are inconsistent by
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1595.
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6472) ~ (all_54_6 = e3)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6473) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6474) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (5813), (6388), (6474),
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #776.
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6475) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6475) gives:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6476) all_56_4 = e1 & op(e3, e1) = e1
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6476) implies:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6477) op(e3, e1) = e1
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6470), (6477), (function-axioms) are
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #998.
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6478) all_56_9 = e1 & op(e3, e0) = e1
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6478) implies:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6479) all_56_9 = e1
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6480) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6480) gives:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6481) all_56_4 = e1 & op(e3, e1) = e1
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6481) implies:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6482) op(e3, e1) = e1
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6470), (6482), (function-axioms) are
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #998.
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6483) all_56_5 = e1 & op(e2, e1) = e1
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6483) implies:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6484) op(e2, e1) = e1
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6391), (6484), (function-axioms) are
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1383.
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6485) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6485) gives:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6486) all_56_8 = e1 & op(e1, e1) = e1
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6486) implies:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6487) op(e1, e1) = e1
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6081), (6487), (function-axioms) are
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1857.
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6488) all_56_14 = e1 & op(e0, e1) = e1
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6488) implies:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6489) all_56_14 = e1
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6490) op(e0, e1) = e1
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6491) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6491) gives:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6492) all_56_2 = e3 & op(e2, e3) = e3
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6433), (6492) are inconsistent by sub-proof
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1652.
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6493) all_56_3 = e3 & op(e2, e2) = e3
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6493) implies:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6494) op(e2, e2) = e3
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6394), (6494), (function-axioms) are
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6495) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6495) gives:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6496) all_56_5 = e3 & op(e2, e1) = e3
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6496) implies:
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6497) op(e2, e1) = e3
% 245.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6467), (6497), (function-axioms) are
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1405.
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6498) all_56_10 = e3 & op(e2, e0) = e3
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6498) implies:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6499) all_56_10 = e3
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6500) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6500) gives:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6501) all_56_4 = e2 & op(e3, e1) = e2
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6501) implies:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6502) all_56_4 = e2
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6503) op(e3, e1) = e2
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (168), (169), (230), (236),
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5812), (5813), (6469), (6479), (6502), (6503),
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #713.
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6504) all_56_5 = e2 & op(e2, e1) = e2
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6504) implies:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6505) op(e2, e1) = e2
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6506) all_54_3 = e3
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (6469), (6506) are inconsistent by
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1725.
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6507) ~ (all_54_3 = e3)
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6508) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6508) gives:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6509) all_54_3 = e2
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (5809), (6509) are inconsistent by
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1707.
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6510) all_54_3 = e1 | all_54_3 = e0
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6511) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6511) gives:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6512) all_56_9 = e2 & op(e3, e0) = e2
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6512) implies:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6513) all_56_9 = e2
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (5813), (6429), (6470),
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6513), (function-axioms) are inconsistent by
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #752.
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6514) all_56_10 = e2 & op(e2, e0) = e2
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6499), (6514) are inconsistent by sub-proof
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1743.
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6515) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6515) gives:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6516) all_56_11 = e2 & op(e1, e0) = e2
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6516) implies:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6517) all_56_11 = e2
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6518) op(e1, e0) = e2
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6510) gives:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6519) all_54_3 = e1
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (6519) imply:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6520) all_52_12 = e1
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6520) implies:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6521) all_52_12 = e1
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (6521) imply:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6522) ~ (all_52_14 = e1)
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6522) implies:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6523) ~ (all_52_14 = e1)
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6473) gives:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6524) all_54_6 = e2
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (6524) imply:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6525) all_52_9 = e2
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6525) implies:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6526) all_52_9 = e2
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (6526) imply:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6527) ~ (all_52_13 = e2)
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6527) implies:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6528) ~ (all_52_13 = e2)
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6467), (6526) imply:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6529) ~ (e3 = e2)
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6530) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6530) gives:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6531) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6531) gives:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6532) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5804), (6532), (function-axioms) are
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1721.
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6533) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (5816), (6394), (6533),
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1541.
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6534) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6534) gives:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6535) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (206), (210), (6081),
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6499), (6517), (6518), (6535), (function-axioms)
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #732.
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6536) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (162), (206), (210),
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6389), (6499), (6505), (6517), (6518), (6536),
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #711.
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6537) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6537) gives:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6538) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6538) gives:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6539) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (51), (5813), (5814), (6539),
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #809.
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6540) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (168), (5814), (6469), (6540),
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1860.
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6541) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6541) gives:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6542) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (6542), (function-axioms) are
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #803.
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6543) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6543) gives:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6544) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6544) implies:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6545) op(e2, e0) = e2
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6528), (6545), (function-axioms) are
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1493.
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6546) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6546) gives:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6547) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6547) implies:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6548) op(e1, e0) = e1
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (6523), (6548), (function-axioms) are
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1856.
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6549) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6549) implies:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6550) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6550) gives:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6551) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6551) gives:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6552) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6552) implies:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6553) op(e2, e2) = e3
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6394), (6553), (function-axioms) are
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6554) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6554) gives:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6555) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6555) implies:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6556) op(e1, e1) = e3
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (157), (158), (159), (5813),
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6078), (6394), (6423), (6424), (6550), (6556),
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #799.
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6557) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6557) implies:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6558) op(e0, e2) = e0
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (6424), (6558), (function-axioms) are
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #802.
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6559) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (6081), (6394), (6490),
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6505), (6550), (6559), (function-axioms) are
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #710.
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6560) ~ (all_54_6 = e2)
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (261), (6560) imply:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6561) ~ (all_52_9 = e2)
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6505), (6561), (function-axioms) are
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1838.
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6562) all_54_3 = e0
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (6447), (6562) are inconsistent by
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1705.
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6563) all_56_15 = e2 & op(e0, e0) = e2
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6563) implies:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6564) op(e0, e0) = e2
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6426), (6564), (function-axioms) are
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1842.
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6565) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (6081), (6489), (6565),
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1520.
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (6566) ~ (all_54_2 = e3)
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (6567) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (271), (6566) imply:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (6568) ~ (all_52_8 = e3)
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6567) gives:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6569) all_54_2 = e2
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (5808), (6569) are inconsistent by
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1596.
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6570) ~ (all_54_2 = e2)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6571) all_54_2 = e1 | all_54_2 = e0
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6572) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (5813), (6429), (6572),
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #754.
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6573) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6573) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6574) all_56_4 = e3 & op(e3, e1) = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6574) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6575) op(e3, e1) = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (6568), (6575), (function-axioms) are
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1599.
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6576) all_56_9 = e3 & op(e3, e0) = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6576) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6577) all_56_9 = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6578) op(e3, e0) = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6579) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (5813), (6388), (6579),
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #776.
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6580) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6580) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6581) all_56_4 = e1 & op(e3, e1) = e1
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6581) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6582) all_56_4 = e1
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6583) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (164), (6392), (6577), (6583),
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #709.
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6584) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6584) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6585) all_56_11 = e1 & op(e1, e0) = e1
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6585) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6586) op(e1, e0) = e1
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6587) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6587) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6588) all_56_6 = e2 & op(e1, e3) = e2
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6588) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6589) op(e1, e3) = e2
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5805), (6589), (function-axioms) are
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #806.
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6590) all_56_7 = e2 & op(e1, e2) = e2
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6590) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6591) all_56_7 = e2
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6592) op(e1, e2) = e2
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6571) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6593) all_54_2 = e1
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (6593) imply:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6594) all_52_8 = e1
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6594) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6595) all_52_8 = e1
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (6595) imply:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6596) ~ (all_52_9 = e1)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (6595) imply:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6597) ~ (all_52_11 = e1)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6597) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6598) ~ (all_52_11 = e1)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (6595) imply:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6599) ~ (all_52_12 = e1)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6599) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6600) ~ (all_52_12 = e1)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5808), (6595) imply:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6601) ~ (e2 = e1)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (6595) imply:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6602) op(e3, e1) = e1
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6603) all_54_3 = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (6603) imply:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6604) all_52_12 = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6604) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6605) all_52_12 = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (6605) imply:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6606) ~ (all_52_13 = e3)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6606) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6607) ~ (all_52_13 = e3)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (6605) imply:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6608) ~ (all_52_14 = e3)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6608) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6609) ~ (all_52_14 = e3)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6610) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6610) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6611) all_56_12 = e1 & op(e0, e3) = e1
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6611) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6612) all_56_12 = e1
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6613) op(e0, e3) = e1
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6614) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6614) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6615) all_56_2 = e3 & op(e2, e3) = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6615) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6616) all_56_2 = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (163), (229), (5813), (6077),
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6613), (6616), (function-axioms) are inconsistent
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #708.
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6617) all_56_3 = e3 & op(e2, e2) = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6617) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6618) op(e2, e2) = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6394), (6618), (function-axioms) are
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6619) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6619) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6620) all_56_5 = e3 & op(e2, e1) = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6620) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6621) all_56_5 = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6622) op(e2, e1) = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6623) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6623) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6624) all_56_6 = e3 & op(e1, e3) = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6624) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6625) all_56_6 = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6626) all_54_7 = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (6607), (6626) are inconsistent by
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1420.
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6627) ~ (all_54_7 = e3)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6628) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6628) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6629) all_54_7 = e2
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (6629) imply:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6630) all_52_13 = e2
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6630) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6631) all_52_13 = e2
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (6631) imply:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6632) ~ (all_52_9 = e2)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6633) all_54_6 = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (6633) imply:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6634) all_52_9 = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6634) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6635) all_52_9 = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (6635) imply:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6636) ~ (all_52_11 = e3)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6636) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6637) ~ (all_52_11 = e3)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6638) all_54_14 = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (6638) imply:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6639) all_52_11 = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6637), (6639) imply:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6640) $false
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6640) is inconsistent.
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6641) ~ (all_54_14 = e3)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6642) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6643) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6643) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6644) all_56_12 = e3 & op(e0, e3) = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6644) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6645) all_56_12 = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6612), (6645) imply:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6646) e3 = e1
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6646) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6647) e3 = e1
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6625), (6647) imply:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6648) all_56_6 = e1
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (51), (164), (168),
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (215), (216), (5814), (6081), (6392),
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6600), (6648), (function-axioms) are inconsistent
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1297.
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6649) all_56_13 = e3 & op(e0, e2) = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6649) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6650) all_56_13 = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6642) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6651) all_54_14 = e2
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (6651) imply:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6652) all_52_11 = e2
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6652) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6653) all_52_11 = e2
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (6653) imply:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6654) ~ (all_52_7 = e2)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6637), (6653) imply:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6655) ~ (e3 = e2)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6656) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (5808), (6632), (6656),
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #741.
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6657) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6657) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6658) all_56_8 = e2 & op(e1, e1) = e2
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6658) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6659) op(e1, e1) = e2
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6081), (6659), (function-axioms) are
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1523.
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6660) all_56_14 = e2 & op(e0, e1) = e2
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6660) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6661) all_56_14 = e2
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6662) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (373), (5813), (6426), (6434), (6459),
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6460), (6578), (6622), (6662), (function-axioms)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #735.
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6663) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6663) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6664) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6664) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6665) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24))
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6666) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6666) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6667) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6667) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6668) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5804), (6668), (function-axioms) are
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1721.
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6669) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (5816), (6394), (6669),
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1541.
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6670) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6670) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6671) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6671) gives:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6672) all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6672) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6673) op(e3, e2) = e3
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (170), (191), (248), (6390), (6424),
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6654), (6673), (function-axioms) are inconsistent
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1460.
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6674) all_57_19 = e3 & all_57_31 = e2 & ~ (all_57_21 =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e0, e2) =
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e0) = e2 & $i(all_57_21) &
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6674) implies:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6675) op(e0, e0) = e2
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (206), (207), (6650),
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6661), (6675), (function-axioms) are inconsistent
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1630.
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6676) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6676) gives:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6677) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6677) implies:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6678) op(e1, e2) = e1
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6592), (6678), (function-axioms) are
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #768.
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6679) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6679) gives:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6680) all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_30)
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6680) implies:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6681) op(e0, e0) = e2
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (206), (207), (6650),
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6661), (6681), (function-axioms) are inconsistent
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1630.
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6682) all_57_22 = e3 & all_57_28 = e1 & ~ (all_57_23 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & $i(all_57_23) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6682) implies:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6683) op(e3, e1) = e3
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6602), (6683), (function-axioms) are
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #998.
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6684) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6684) gives:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6685) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6685) gives:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6686) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (51), (5813), (5814), (6686),
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #809.
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6687) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6687) gives:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6688) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6688) implies:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6689) op(e0, e0) = e1
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (5814), (6689), (function-axioms) are
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1865.
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6690) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6690) gives:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6691) all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6691) implies:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6692) op(e2, e2) = e0
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (222),
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (373), (6433), (6607), (6692),
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #707.
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6693) all_57_25 = e3 & all_57_30 = e0 & ~ (all_57_26 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e3, e3) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_26) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6693) implies:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6694) ~ (all_57_29 = e1)
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6695) op(e1, e0) = all_57_29
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6586), (6694), (6695), (function-axioms) are
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6696) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6696) gives:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6697) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (6697), (function-axioms) are
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #803.
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6698) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6698) gives:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6699) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6699) implies:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6700) ~ (all_57_29 = e1)
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6701) op(e1, e0) = all_57_29
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6586), (6700), (6701), (function-axioms) are
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6702) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6702) gives:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6703) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6703) implies:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6704) op(e2, e2) = e0
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (222),
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (373), (6433), (6607), (6704),
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #707.
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6705) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6705) implies:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6706) op(e0, e0) = all_57_31
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6707) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6707) gives:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6708) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6708) gives:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6709) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6709) implies:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6710) op(e2, e2) = e3
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6394), (6710), (function-axioms) are
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6711) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6711) gives:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6712) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6712) implies:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6713) op(e1, e1) = e3
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (217), (6582), (6621), (6661),
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6713), (function-axioms) are inconsistent by
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1040.
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6714) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6714) implies:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6715) op(e0, e2) = e0
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (6424), (6715), (function-axioms) are
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #802.
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6716) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6716) gives:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6717) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6717) implies:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6718) op(e1, e1) = e2
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6081), (6718), (function-axioms) are
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1523.
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6719) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5813), (6665), (6706), (6719),
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #706.
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6720) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (6578), (6720), (function-axioms) are
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #734.
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6721) all_54_14 = e1 | all_54_14 = e0
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (6078), (6598), (6721) are inconsistent by
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1785.
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6722) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 246.11/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (157), (5816), (6637), (6722),
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1188.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6723) ~ (all_54_6 = e3)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (261), (6723) imply:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6724) ~ (all_52_9 = e3)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6622), (6724), (function-axioms) are
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1405.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6725) all_54_7 = e1 | all_54_7 = e0
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (6392), (6442), (6725) are inconsistent by
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #705.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6726) all_56_7 = e3 & op(e1, e2) = e3
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6726) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6727) all_56_7 = e3
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6591), (6727) imply:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6728) e3 = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6577), (6728) imply:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6729) all_56_9 = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (232), (236), (5813),
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6429), (6729), (function-axioms) are inconsistent
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #750.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6730) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6730) gives:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6731) all_56_8 = e3 & op(e1, e1) = e3
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6731) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6732) op(e1, e1) = e3
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (217), (218),
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (6598), (6621), (6732), (function-axioms)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1036.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6733) all_56_11 = e3 & op(e1, e0) = e3
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6733) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6734) op(e1, e0) = e3
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (6609), (6734), (function-axioms) are
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1084.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6735) all_56_10 = e3 & op(e2, e0) = e3
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6735) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6736) op(e2, e0) = e3
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6607), (6736), (function-axioms) are
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1086.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6737) all_56_13 = e1 & op(e0, e2) = e1
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6737) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6738) op(e0, e2) = e1
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (6390), (6738), (function-axioms) are
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1378.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6739) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (157), (5814), (6598), (6739),
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1543.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6740) ~ (all_54_3 = e3)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (270), (6740) imply:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6741) ~ (all_52_12 = e3)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (6578), (6741), (function-axioms) are
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1862.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6742) all_54_2 = e0
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (6445), (6742) are inconsistent by
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1614.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6743) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (6081), (6586), (6743),
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1363.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6744) all_56_15 = e1 & op(e0, e0) = e1
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6744) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6745) op(e0, e0) = e1
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (5814), (6745), (function-axioms) are
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1865.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6746) all_56_9 = e1 & op(e3, e0) = e1
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6746) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6747) all_56_9 = e1
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6577), (6747) are inconsistent by sub-proof
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #763.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | (6748) ~ (all_12_1 = e0) & op(e2, e3) = all_12_1 &
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6748) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | (6749) ~ (all_12_1 = e0)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | (6750) op(e2, e3) = all_12_1
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_12_1,
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (6434), (6750) gives:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | (6751) all_12_1 = e0
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6749), (6751) imply:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | (6752) $false
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6752) is inconsistent.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | (6753) all_56_3 = e0 & op(e2, e2) = e0
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6753) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | (6754) op(e2, e2) = e0
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6394), (6754), (function-axioms) are
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1795.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | (6755) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6755) gives:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | (6756) all_56_5 = e0 & op(e2, e1) = e0
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6756) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | (6757) all_56_5 = e0
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | (6758) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (5804), (6405), (6758),
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | #770.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | (6759) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6759) gives:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | (6760) all_56_5 = e2 & op(e2, e1) = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6760) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | (6761) all_56_5 = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6757), (6761) are inconsistent by sub-proof
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | #1620.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | (6762) all_56_10 = e2 & op(e2, e0) = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6762) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | (6763) all_56_10 = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (158), (163),
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | (169), (207), (219), (224), (229), (5808), (5813),
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | (5814), (6077), (6081), (6390), (6394), (6757),
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | (6763), (function-axioms) are inconsistent by
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #703.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | (6764) all_56_10 = e0 & op(e2, e0) = e0
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6764) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | (6765) all_56_10 = e0
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | (6766) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (5804), (6405), (6766),
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | #770.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | (6767) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6767) gives:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | (6768) all_56_5 = e2 & op(e2, e1) = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6768) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | (6769) all_56_5 = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | (6770) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6770) gives:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (6771) all_56_9 = e2 & op(e3, e0) = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6771) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (6772) all_56_9 = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (232), (236), (5813),
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (6429), (6772), (function-axioms) are inconsistent
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #750.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (6773) all_56_10 = e2 & op(e2, e0) = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6773) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (6774) all_56_10 = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6765), (6774) imply:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (6775) e2 = e0
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6775) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (6776) e2 = e0
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6769), (6776) imply:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (6777) all_56_5 = e0
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (158), (163),
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (207), (219), (224), (229), (5808), (5813),
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (5814), (6077), (6081), (6390), (6394), (6774),
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (6777), (function-axioms) are inconsistent by
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #703.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | (6778) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6778) gives:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (6779) all_56_11 = e2 & op(e1, e0) = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6779) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (6780) op(e1, e0) = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6781) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6781) gives:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6782) all_56_2 = e3 & op(e2, e3) = e3
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6782) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6783) all_56_2 = e3
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6784) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6784) gives:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6785) all_56_6 = e1 & op(e1, e3) = e1
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6785) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6786) all_56_6 = e1
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (159), (229), (5813), (6423),
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6783), (6786), (function-axioms) are inconsistent
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #748.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6787) all_56_7 = e1 & op(e1, e2) = e1
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6787) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6788) op(e1, e2) = e1
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6389), (6788), (function-axioms) are
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1868.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6789) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (6081), (6780), (6789),
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1359.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6790) all_56_3 = e3 & op(e2, e2) = e3
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6790) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6791) op(e2, e2) = e3
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6394), (6791), (function-axioms) are
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6792) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6792) gives:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6793) all_56_5 = e3 & op(e2, e1) = e3
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6793) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6794) all_56_5 = e3
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6769), (6794) are inconsistent by sub-proof
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1585.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6795) all_56_10 = e3 & op(e2, e0) = e3
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6795) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6796) all_56_10 = e3
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6765), (6796) are inconsistent by sub-proof
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1667.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (6797) all_56_15 = e2 & op(e0, e0) = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6797) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (6798) op(e0, e0) = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6426), (6798), (function-axioms) are
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1842.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | (6799) all_56_10 = e2 & op(e2, e0) = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6799) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | (6800) all_56_10 = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6765), (6800) are inconsistent by sub-proof
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | #1007.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | (6801) all_56_3 = e0 & op(e2, e2) = e0
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | ALPHA: (6801) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | (6802) op(e2, e2) = e0
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6394), (6802), (function-axioms) are
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1795.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | (6803) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (214), (215),
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | (216), (6081), (6424), (6803), (function-axioms)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #702.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | (6804) all_28_2 = e2
% 246.11/42.56 | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | COMBINE_EQS: (330), (6804) imply:
% 246.11/42.56 | | | | | | | | | | | | | | | (6805) all_14_2 = e2
% 246.11/42.56 | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | SIMP: (6805) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | (6806) all_14_2 = e2
% 246.11/42.56 | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | REDUCE: (369), (6806) imply:
% 246.11/42.56 | | | | | | | | | | | | | | | (6807) ~ (all_52_11 = e2)
% 246.11/42.56 | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | REDUCE: (371), (6806) imply:
% 246.11/42.56 | | | | | | | | | | | | | | | (6808) ~ (all_52_13 = e2)
% 246.11/42.56 | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | REDUCE: (372), (6806) imply:
% 246.11/42.56 | | | | | | | | | | | | | | | (6809) ~ (all_52_14 = e2)
% 246.11/42.56 | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | REDUCE: (5816), (6806) imply:
% 246.11/42.56 | | | | | | | | | | | | | | | (6810) ~ (e3 = e2)
% 246.11/42.56 | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | REDUCE: (51), (6806) imply:
% 246.11/42.56 | | | | | | | | | | | | | | | (6811) op(e0, e0) = e2
% 246.11/42.56 | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 246.11/42.56 | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | Case 1:
% 246.11/42.56 | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | (6812) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 246.11/42.56 | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | BETA: splitting (6812) gives:
% 246.11/42.56 | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.56 | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | (6813) all_56_4 = e2 & op(e3, e1) = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | ALPHA: (6813) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | (6814) op(e3, e1) = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5808), (6814), (function-axioms) are
% 246.11/42.56 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #791.
% 246.11/42.56 | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | (6815) all_56_5 = e2 & op(e2, e1) = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | ALPHA: (6815) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | (6816) op(e2, e1) = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 246.11/42.56 | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.56 | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | (6817) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 246.11/42.56 | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | BETA: splitting (6817) gives:
% 246.11/42.56 | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | (6818) all_56_1 = e2 & op(e3, e2) = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | ALPHA: (6818) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | (6819) all_56_1 = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | (6820) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (6819), (6820), (function-axioms) are
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #700.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | (6821) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6821) gives:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | (6822) all_56_4 = e0 & op(e3, e1) = e0
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6822) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | (6823) all_56_4 = e0
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | (6081), (6823), (function-axioms) are inconsistent
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | by sub-proof #1515.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | (6824) all_56_9 = e0 & op(e3, e0) = e0
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6824) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | (6825) all_56_9 = e0
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | (6826) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6826) gives:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | (6827) all_56_9 = e1 & op(e3, e0) = e1
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6827) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | (6828) all_56_9 = e1
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6825), (6828) are inconsistent by sub-proof
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | #1745.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | (6829) all_56_10 = e1 & op(e2, e0) = e1
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6829) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | (6830) op(e2, e0) = e1
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6392), (6830), (function-axioms) are
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1534.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | (6831) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6831) gives:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | (6832) all_56_11 = e1 & op(e1, e0) = e1
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6832) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | (6833) op(e1, e0) = e1
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | (6834) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6834) gives:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | (6835) all_56_6 = e2 & op(e1, e3) = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6835) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | (6836) op(e1, e3) = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5805), (6836), (function-axioms) are
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #806.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | (6837) all_56_7 = e2 & op(e1, e2) = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (120), (133), (160),
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | (164), (167), (168), (169), (170), (210), (236),
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (5804), (5809), (5813), (6081),
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | (6385), (6392), (6394), (6808), (6811), (6816),
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | (6837), (function-axioms) are inconsistent by
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #699.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | (6838) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (6081), (6833), (6838),
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | | #1363.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | (6839) all_56_15 = e1 & op(e0, e0) = e1
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6839) implies:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | (6840) op(e0, e0) = e1
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6811), (6840), (function-axioms) are
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | (6841) all_56_3 = e2 & op(e2, e2) = e2
% 246.11/42.56 | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6405), (6841) are inconsistent by sub-proof
% 246.11/42.56 | | | | | | | | | | | | | | | | | | | #1295.
% 246.11/42.56 | | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.56 | | | | | | | | | | | | | | | | | |
% 246.11/42.56 | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.56 | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | (6842) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 246.11/42.57 | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | BETA: splitting (6842) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | (6843) all_56_7 = e2 & op(e1, e2) = e2
% 246.11/42.57 | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (120), (133), (160),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | (164), (167), (168), (169), (170), (210), (236),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | (238), (239), (5804), (5809), (5813), (6081),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | (6385), (6392), (6394), (6808), (6811), (6816),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | (6843), (function-axioms) are inconsistent by
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | sub-proof #699.
% 246.11/42.57 | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | (6844) all_56_13 = e2 & op(e0, e2) = e2
% 246.11/42.57 | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | ALPHA: (6844) implies:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | (6845) all_56_13 = e2
% 246.11/42.57 | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (163),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | (215), (225), (226), (228), (373), (5805), (6081),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | (6809), (6845), (function-axioms) are inconsistent
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | by sub-proof #695.
% 246.11/42.57 | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.57 | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | End of split
% 246.11/42.57 | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | End of split
% 246.11/42.57 | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | Case 2:
% 246.11/42.57 | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | (6846) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 246.11/42.57 | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 246.11/42.57 | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (6081), (6807), (6846),
% 246.11/42.57 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.57 | | | | | | | | | | | | | | | | #718.
% 246.11/42.57 | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | End of split
% 246.11/42.57 | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | End of split
% 246.11/42.57 | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | End of split
% 246.11/42.57 | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | Case 2:
% 246.11/42.57 | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | (6847) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 246.11/42.57 | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 246.11/42.57 | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | REF_CLOSE: (164), (165), (6391), (6392), (6847),
% 246.11/42.57 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.57 | | | | | | | | | | | | | #755.
% 246.11/42.57 | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | End of split
% 246.11/42.57 | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | End of split
% 246.11/42.57 | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | End of split
% 246.11/42.57 | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | Case 2:
% 246.11/42.57 | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | (6848) all_20_2 = e3
% 246.11/42.57 | | | | | | | | | | (6849) ( ~ (all_20_0 = e2) & op(all_20_1, all_20_1) =
% 246.11/42.57 | | | | | | | | | | all_20_0 & op(e3, e1) = all_20_1 & $i(all_20_0)
% 246.11/42.57 | | | | | | | | | | & $i(all_20_1)) | ( ~ (all_20_1 = e0) & op(e3,
% 246.11/42.57 | | | | | | | | | | e1) = all_20_1 & $i(all_20_1))
% 246.11/42.57 | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | COMBINE_EQS: (325), (6848) imply:
% 246.11/42.57 | | | | | | | | | | (6850) all_10_2 = e3
% 246.11/42.57 | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | SIMP: (6850) implies:
% 246.11/42.57 | | | | | | | | | | (6851) all_10_2 = e3
% 246.11/42.57 | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | COMBINE_EQS: (331), (6851) imply:
% 246.11/42.57 | | | | | | | | | | (6852) all_30_2 = e3
% 246.11/42.57 | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | REDUCE: (350), (6851) imply:
% 246.11/42.57 | | | | | | | | | | (6853) ~ (all_52_2 = e3)
% 246.11/42.57 | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | REDUCE: (361), (6851) imply:
% 246.11/42.57 | | | | | | | | | | (6854) ~ (all_52_6 = e3)
% 246.11/42.57 | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | REDUCE: (363), (6851) imply:
% 246.11/42.57 | | | | | | | | | | (6855) ~ (all_52_8 = e3)
% 246.11/42.57 | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | REDUCE: (364), (6851) imply:
% 246.11/42.57 | | | | | | | | | | (6856) ~ (all_52_9 = e3)
% 246.11/42.57 | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | REDUCE: (366), (6851) imply:
% 246.11/42.57 | | | | | | | | | | (6857) ~ (all_52_11 = e3)
% 246.11/42.57 | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | REDUCE: (368), (6851) imply:
% 246.11/42.57 | | | | | | | | | | (6858) ~ (all_52_14 = e3)
% 246.11/42.57 | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | BETA: splitting (220) gives:
% 246.11/42.57 | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | (6859) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 246.11/42.57 | | | | | | | | | | | & op(e2, e1) = e3)
% 246.11/42.57 | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | REF_CLOSE: (165), (169), (6855), (6856), (6859),
% 246.11/42.57 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.57 | | | | | | | | | | | #1088.
% 246.11/42.57 | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | Case 2:
% 246.11/42.57 | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | (6860) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 246.11/42.57 | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 246.11/42.57 | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | BETA: splitting (6860) gives:
% 246.11/42.57 | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | (6861) all_56_8 = e3 & op(e1, e1) = e3
% 246.11/42.57 | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | ALPHA: (6861) implies:
% 246.11/42.57 | | | | | | | | | | | | (6862) all_56_8 = e3
% 246.11/42.57 | | | | | | | | | | | | (6863) op(e1, e1) = e3
% 246.11/42.57 | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | BETA: splitting (67) gives:
% 246.11/42.57 | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | (6864) ~ (all_24_2 = e1)
% 246.11/42.57 | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | REDUCE: (318), (6864) imply:
% 246.11/42.57 | | | | | | | | | | | | | (6865) ~ (all_4_2 = e1)
% 246.11/42.57 | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | BETA: splitting (76) gives:
% 246.11/42.57 | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | (6866) ~ (all_30_2 = e3)
% 246.11/42.57 | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | REDUCE: (6852), (6866) imply:
% 246.11/42.57 | | | | | | | | | | | | | | (6867) $false
% 246.11/42.57 | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | CLOSE: (6867) is inconsistent.
% 246.11/42.57 | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | Case 2:
% 246.11/42.57 | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | (6868) ( ~ (all_30_0 = e0) & op(all_30_1, all_30_1) =
% 246.11/42.57 | | | | | | | | | | | | | | all_30_0 & op(e3, e1) = all_30_1 & $i(all_30_0)
% 246.11/42.57 | | | | | | | | | | | | | | & $i(all_30_1)) | ( ~ (all_30_1 = e2) & op(e3,
% 246.11/42.57 | | | | | | | | | | | | | | e1) = all_30_1 & $i(all_30_1))
% 246.11/42.57 | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 246.11/42.57 | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | (6869) ~ (all_28_2 = e2)
% 246.11/42.57 | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | REDUCE: (330), (6869) imply:
% 246.11/42.57 | | | | | | | | | | | | | | | (6870) ~ (all_14_2 = e2)
% 246.11/42.57 | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 246.11/42.57 | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | (6871) all_54_15 = e3
% 246.11/42.57 | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6871) imply:
% 246.11/42.57 | | | | | | | | | | | | | | | | (6872) all_14_2 = e3
% 246.11/42.57 | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | REDUCE: (5816), (6872) imply:
% 246.11/42.57 | | | | | | | | | | | | | | | | (6873) $false
% 246.11/42.57 | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | CLOSE: (6873) is inconsistent.
% 246.11/42.57 | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | Case 2:
% 246.11/42.57 | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | (6874) ~ (all_54_15 = e3)
% 246.11/42.57 | | | | | | | | | | | | | | | | (6875) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 246.11/42.57 | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | BETA: splitting (6875) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | (6876) all_54_15 = e2
% 246.11/42.57 | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6876) imply:
% 246.11/42.57 | | | | | | | | | | | | | | | | | (6877) all_14_2 = e2
% 246.11/42.57 | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | REDUCE: (6870), (6877) imply:
% 246.11/42.57 | | | | | | | | | | | | | | | | | (6878) $false
% 246.11/42.57 | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | CLOSE: (6878) is inconsistent.
% 246.11/42.57 | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.57 | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | (6879) ~ (all_54_15 = e2)
% 246.11/42.57 | | | | | | | | | | | | | | | | | (6880) all_54_15 = e1 | all_54_15 = e0
% 246.11/42.57 | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | BETA: splitting (6880) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | (6881) all_54_15 = e1
% 246.11/42.57 | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6881) imply:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | (6882) all_14_2 = e1
% 246.11/42.57 | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | REDUCE: (5814), (6882) imply:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | (6883) $false
% 246.11/42.57 | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | CLOSE: (6883) is inconsistent.
% 246.11/42.57 | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.57 | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | (6884) all_54_15 = e0
% 246.11/42.57 | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6884) imply:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | (6885) all_14_2 = e0
% 246.11/42.57 | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | REDUCE: (351), (6885) imply:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | (6886) ~ (all_52_3 = e0)
% 246.11/42.57 | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | REDUCE: (362), (6885) imply:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | (6887) ~ (all_52_7 = e0)
% 246.11/42.57 | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | REDUCE: (369), (6885) imply:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | (6888) ~ (all_52_11 = e0)
% 246.11/42.57 | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | REDUCE: (371), (6885) imply:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | (6889) ~ (all_52_13 = e0)
% 246.11/42.57 | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | REDUCE: (5816), (6885) imply:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | (6890) ~ (e3 = e0)
% 246.11/42.57 | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | REDUCE: (6870), (6885) imply:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | (6891) ~ (e2 = e0)
% 246.11/42.57 | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | REDUCE: (5814), (6885) imply:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | (6892) ~ (e1 = e0)
% 246.11/42.57 | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | (6893) all_56_15 = e0 & op(e0, e0) = e0
% 246.11/42.57 | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | ALPHA: (6893) implies:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | (6894) all_56_15 = e0
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | (6895) op(e0, e0) = e0
% 246.11/42.57 | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | (6896) ~ (all_32_2 = e0)
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (314), (6896) imply:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | (6897) ~ (all_4_2 = e0)
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | (6898) all_54_5 = e3
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6898) imply:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | (6899) all_4_2 = e3
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (6899) imply:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | (6900) $false
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | CLOSE: (6900) is inconsistent.
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | (6901) ~ (all_54_5 = e3)
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | (6902) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6902) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | (6903) all_54_5 = e2
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6903) imply:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | (6904) all_4_2 = e2
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (6904) imply:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | (6905) ~ (all_52_13 = e2)
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (6904) imply:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | (6906) ~ (e3 = e2)
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (6904) imply:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | (6907) op(e2, e2) = e2
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | (6908) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6908) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | (6909) all_56_6 = e2 & op(e1, e3) = e2
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6909) implies:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | (6910) all_56_6 = e2
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (6911) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (67),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (100), (110), (113), (117), (118), (121), (123),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (125), (126), (128), (133), (134), (135), (139),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (140), (141), (143), (144), (145), (146), (148),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (149), (157), (158), (159), (160), (162), (163),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (190),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (193), (195), (197), (198), (199),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (200), (206), (207), (208), (209), (210), (211),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (218), (219), (220),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (235),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (247), (248), (249), (250), (258),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (260), (261), (268), (269), (318), (349), (352),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (354), (358), (360), (373), (5801), (5803),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (5804), (5806), (5807), (5808), (5812), (5813),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (5814), (5816), (6853), (6854), (6855), (6856),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (6857), (6858), (6862), (6863), (6865), (6868),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (6886), (6887), (6888), (6889), (6894), (6895),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (6897), (6911), (function-axioms) are inconsistent
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #643.
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (6912) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6912) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (6913) all_56_14 = e2 & op(e0, e1) = e2
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6913) implies:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (6914) all_56_14 = e2
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (6915) op(e0, e1) = e2
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6916) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6916) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6917) all_56_9 = e2 & op(e3, e0) = e2
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6917) implies:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6918) all_56_9 = e2
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6919) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6919) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6920) all_56_0 = e0 & op(e3, e3) = e0
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6920) implies:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6921) op(e3, e3) = e0
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (6921), (function-axioms) are
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #808.
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6922) all_56_2 = e0 & op(e2, e3) = e0
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6922) implies:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6923) all_56_2 = e0
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6924) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (373), (6923), (6924),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1586.
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6925) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6925) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6926) all_56_5 = e3 & op(e2, e1) = e3
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6926) implies:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6927) op(e2, e1) = e3
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6856), (6927), (function-axioms) are
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1405.
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6928) all_56_10 = e3 & op(e2, e0) = e3
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6928) implies:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6929) all_56_10 = e3
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6930) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6930) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6931) all_56_9 = e1 & op(e3, e0) = e1
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6918), (6931) are inconsistent by sub-proof
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1253.
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6932) all_56_10 = e1 & op(e2, e0) = e1
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6929), (6932) are inconsistent by sub-proof
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1808.
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6933) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6933) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6934) all_56_11 = e1 & op(e1, e0) = e1
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6934) implies:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6935) all_56_11 = e1
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6936) op(e1, e0) = e1
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6937) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6937) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6938) all_56_0 = e3 & op(e3, e3) = e3
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6938) implies:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6939) op(e3, e3) = e3
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5813), (6939), (function-axioms) are
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6940) all_56_1 = e3 & op(e3, e2) = e3
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6940) implies:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6941) all_56_1 = e3
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6942) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (5813), (6941), (6942),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #692.
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6943) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6943) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6944) all_56_4 = e0 & op(e3, e1) = e0
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6944) implies:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6945) all_56_4 = e0
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6946) op(e3, e1) = e0
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6947) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6947) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6948) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6948) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6949) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (268), (349), (6865), (6897), (6902),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6949), (function-axioms) are inconsistent by
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1843.
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6950) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (51), (373), (5816), (6950),
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1871.
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6951) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6951) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6952) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6952) gives:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6953) all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6953) implies:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6954) op(e1, e1) = e2
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6863), (6954), (function-axioms) are
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6955) all_57_19 = e3 & all_57_31 = e2 & ~ (all_57_21 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e0, e2) =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e0) = e2 & $i(all_57_21) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6955) implies:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6956) op(e0, e0) = e2
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (206), (6918), (6929), (6935),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6956), (function-axioms) are inconsistent by
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1803.
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6957) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6957) gives:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6958) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6958) implies:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6959) op(e1, e2) = e1
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (67),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (100), (110), (113), (117), (118), (121), (123),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (125), (126), (128), (133), (134), (135), (139),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (140), (141), (143), (144), (145), (146), (148),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (157), (158), (159), (160), (162), (163),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (190),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (193), (195), (197), (198), (200),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (218), (219), (220), (221),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (235), (238),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (247), (248), (249), (250), (258), (260),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (261), (269), (318), (352), (354), (360), (373),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5801), (5803), (5804), (5806), (5807), (5808),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5812), (5813), (5814), (5816), (6853), (6854),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6855), (6856), (6857), (6858), (6863), (6865),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6868), (6886), (6887), (6889), (6895), (6941),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6945), (6946), (6959), (function-axioms) are
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #645.
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6960) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6960) gives:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6961) all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_30)
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6961) implies:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6962) op(e0, e0) = e2
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (206), (6918), (6929), (6935),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6962), (function-axioms) are inconsistent by
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1803.
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6963) all_57_22 = e3 & all_57_28 = e1 & ~ (all_57_23 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & $i(all_57_23) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6963) implies:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6964) op(e2, e2) = e1
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (6865), (6964), (function-axioms) are
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1867.
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6965) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6965) gives:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6966) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6966) gives:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6967) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (36), (51), (157), (159), (164), (165),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (199), (238), (268), (349), (358), (360),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (5814), (5816), (6863), (6865), (6886),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6888), (6895), (6897), (6967), (function-axioms)
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #642.
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6968) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6968) gives:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6969) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6969) implies:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6970) op(e0, e0) = e1
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (5814), (6970), (function-axioms) are
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1865.
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6971) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6971) gives:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6972) all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6972) implies:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6973) op(e2, e2) = e0
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (67),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (100), (110), (113), (117), (118), (121), (123),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (125), (126), (128), (133), (134), (135), (139),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (140), (141), (143), (144), (145), (146), (148),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (157), (158), (159), (160), (162), (163),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (190),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (193), (195), (197), (198), (200),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (218), (219), (220), (221),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (235), (238),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (247), (248), (249), (250), (258), (260),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (261), (269), (318), (352), (354), (360), (373),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5801), (5803), (5804), (5806), (5807), (5808),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5812), (5813), (5814), (5816), (6853), (6854),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6855), (6856), (6857), (6858), (6863), (6865),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6868), (6886), (6887), (6889), (6895), (6945),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6946), (6973), (function-axioms) are inconsistent
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #646.
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6974) all_57_25 = e3 & all_57_30 = e0 & ~ (all_57_26 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e3, e3) =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_26) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6974) implies:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6975) ~ (all_57_29 = e1)
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6976) op(e1, e0) = all_57_29
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6936), (6975), (6976), (function-axioms) are
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6977) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6977) gives:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6978) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (6978), (function-axioms) are
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #803.
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6979) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6979) gives:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6980) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6980) implies:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6981) ~ (all_57_29 = e1)
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6982) op(e1, e0) = all_57_29
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6936), (6981), (6982), (function-axioms) are
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6983) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6983) gives:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6984) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6984) implies:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6985) op(e2, e2) = e0
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (67),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (100), (110), (113), (117), (118), (121), (123),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (125), (126), (128), (133), (134), (135), (139),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (140), (141), (143), (144), (145), (146), (148),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (157), (158), (159), (160), (162), (163),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (190),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (193), (195), (197), (198), (200),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (218), (219), (220), (221),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (235), (238),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (247), (248), (249), (250), (258), (260),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (261), (269), (318), (352), (354), (360), (373),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5801), (5803), (5804), (5806), (5807), (5808),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5812), (5813), (5814), (5816), (6853), (6854),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6855), (6856), (6857), (6858), (6863), (6865),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6868), (6886), (6887), (6889), (6895), (6945),
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6946), (6985), (function-axioms) are inconsistent
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #646.
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6986) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6986) implies:
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6987) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (157), (158), (159), (373),
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5813), (6863), (6865), (6886), (6887), (6888),
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6987), (function-axioms) are inconsistent by
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #797.
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6988) all_56_9 = e0 & op(e3, e0) = e0
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6988) implies:
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6989) all_56_9 = e0
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (211), (6894), (6929), (6936),
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6989), (function-axioms) are inconsistent by
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1739.
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6990) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6990) gives:
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6991) all_56_4 = e3 & op(e3, e1) = e3
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6991) implies:
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6992) op(e3, e1) = e3
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (6855), (6992), (function-axioms) are
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1599.
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6993) all_56_9 = e3 & op(e3, e0) = e3
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6993) implies:
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6994) all_56_9 = e3
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (164), (211), (6894), (6905),
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6935), (6994), (function-axioms) are inconsistent
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1478.
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6995) all_56_15 = e1 & op(e0, e0) = e1
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6995) implies:
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6996) op(e0, e0) = e1
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (5814), (6996), (function-axioms) are
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1865.
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6997) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6997) gives:
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6998) all_56_6 = e0 & op(e1, e3) = e0
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6998) implies:
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6999) all_56_6 = e0
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6910), (6999) imply:
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7000) e2 = e0
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6918), (7000) imply:
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7001) all_56_9 = e0
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (210), (211),
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (5814), (5816),
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6862), (6863), (6894), (7001), (function-axioms)
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1171.
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7002) all_56_12 = e0 & op(e0, e3) = e0
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7002) implies:
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7003) op(e0, e3) = e0
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (6886), (7003), (function-axioms) are
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1830.
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7004) all_56_10 = e2 & op(e2, e0) = e2
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7004) implies:
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7005) op(e2, e0) = e2
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6905), (7005), (function-axioms) are
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1493.
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7006) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 246.11/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (128),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (162), (163), (164), (165),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (199), (206), (207), (209), (229), (235),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (268), (349), (358), (360), (373),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5812), (5813), (5814), (5816), (6853), (6857),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6863), (6865), (6886), (6887), (6888), (6895),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6897), (6902), (6905), (6907), (6914), (6915),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7006), (function-axioms) are inconsistent by
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #638.
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (7007) all_56_15 = e2 & op(e0, e0) = e2
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7007) implies:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (7008) op(e0, e0) = e2
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6895), (7008), (function-axioms) are
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1842.
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | (7009) all_56_7 = e2 & op(e1, e2) = e2
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7009) implies:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | (7010) all_56_7 = e2
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | (7011) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (67),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | (100), (110), (113), (117), (118), (121), (123),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | (125), (126), (128), (133), (134), (135), (139),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | (140), (141), (143), (144), (145), (146), (148),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | (149), (157), (158), (159), (160), (162), (163),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (190),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (193), (195), (197), (198), (199),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | (200), (206), (207), (208), (209), (210), (211),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (218), (219), (220),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (235),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (247), (248), (249), (250), (258),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | (260), (261), (268), (269), (318), (349), (352),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | (354), (358), (360), (373), (5801), (5803),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | (5804), (5806), (5807), (5808), (5812), (5813),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | (5814), (5816), (6853), (6854), (6855), (6856),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | (6857), (6858), (6862), (6863), (6865), (6868),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | (6886), (6887), (6888), (6889), (6894), (6895),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | (6897), (7011), (function-axioms) are inconsistent
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #643.
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | (7012) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7012) gives:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (7013) all_56_14 = e2 & op(e0, e1) = e2
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7013) implies:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (7014) all_56_14 = e2
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (7015) op(e0, e1) = e2
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7016) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7016) gives:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7017) all_56_9 = e2 & op(e3, e0) = e2
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7017) implies:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7018) all_56_9 = e2
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7019) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7019) gives:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7020) all_56_1 = e0 & op(e3, e2) = e0
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7020) implies:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7021) all_56_1 = e0
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7022) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (373), (7021), (7022),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1820.
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7023) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7023) gives:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7024) all_56_7 = e3 & op(e1, e2) = e3
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7024) implies:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7025) op(e1, e2) = e3
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6854), (7025), (function-axioms) are
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1702.
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7026) all_56_13 = e3 & op(e0, e2) = e3
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7026) implies:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7027) all_56_13 = e3
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7028) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6865), (7021), (7028),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1079.
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7029) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7029) gives:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7030) all_56_7 = e1 & op(e1, e2) = e1
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7010), (7030) are inconsistent by sub-proof
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1366.
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7031) all_56_13 = e1 & op(e0, e2) = e1
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7031) implies:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7032) all_56_13 = e1
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7027), (7032) are inconsistent by sub-proof
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1732.
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7033) all_56_3 = e0 & op(e2, e2) = e0
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7033) implies:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7034) op(e2, e2) = e0
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6907), (7034), (function-axioms) are
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1835.
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7035) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7035) gives:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7036) all_56_7 = e0 & op(e1, e2) = e0
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7036) implies:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7037) all_56_7 = e0
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7010), (7037) imply:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7038) e2 = e0
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7018), (7038) imply:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7039) all_56_9 = e0
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (210), (211),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (5814), (5816),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6862), (6863), (6894), (7039), (function-axioms)
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1171.
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7040) all_56_13 = e0 & op(e0, e2) = e0
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7040) implies:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7041) op(e0, e2) = e0
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (6887), (7041), (function-axioms) are
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #802.
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7042) all_56_10 = e2 & op(e2, e0) = e2
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7042) implies:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7043) op(e2, e0) = e2
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6905), (7043), (function-axioms) are
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1493.
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7044) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (128),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (162), (163), (164), (165),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (199), (206), (207), (209), (229), (235),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (268), (349), (358), (360), (373),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5812), (5813), (5814), (5816), (6853), (6857),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6863), (6865), (6886), (6887), (6888), (6895),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6897), (6902), (6905), (6907), (7014), (7015),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7044), (function-axioms) are inconsistent by
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #638.
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (7045) all_56_15 = e2 & op(e0, e0) = e2
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7045) implies:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (7046) op(e0, e0) = e2
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6895), (7046), (function-axioms) are
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1842.
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | (7047) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7047) gives:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | (7048) all_56_8 = e2 & op(e1, e1) = e2
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7048) implies:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | (7049) op(e1, e1) = e2
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6863), (7049), (function-axioms) are
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | (7050) all_56_11 = e2 & op(e1, e0) = e2
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7050) implies:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | (7051) op(e1, e0) = e2
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | (7052) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7052) gives:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (7053) all_56_12 = e2 & op(e0, e3) = e2
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (157),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (163), (164), (165), (167), (199), (206),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (229), (231), (235), (238),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (268), (349), (358), (360), (373), (5813), (5814),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (5816), (6853), (6857), (6863), (6865), (6886),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6888), (6895), (6897), (7053), (function-axioms)
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #693.
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (7054) all_56_13 = e2 & op(e0, e2) = e2
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7054) implies:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (7055) all_56_13 = e2
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (67),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (100), (110), (113), (117), (118), (121), (123),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (125), (126), (128), (133), (134), (135), (139),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (140), (141), (143), (144), (145), (146), (148),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (157), (158), (159), (160), (162), (163),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (190),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (193), (195), (197), (198), (200),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (218), (219), (220), (221),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (235), (238),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (247), (248), (249), (250), (258), (260),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (261), (269), (318), (352), (354), (360), (373),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (5801), (5803), (5804), (5806), (5807), (5808),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (5812), (5813), (5814), (5816), (6853), (6854),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6855), (6856), (6857), (6858), (6862), (6863),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6865), (6868), (6886), (6887), (6889), (6894),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6895), (7055), (function-axioms) are inconsistent
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #644.
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | (7056) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7056) gives:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (7057) all_56_14 = e2 & op(e0, e1) = e2
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7057) implies:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (7058) all_56_14 = e2
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (7059) op(e0, e1) = e2
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (128),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (162), (163), (164), (165),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (199), (206), (207), (209), (229), (235),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (268), (349), (358), (360), (373),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (5812), (5813), (5814), (5816), (6853), (6857),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6863), (6865), (6886), (6887), (6888), (6895),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6897), (6902), (6905), (6907), (7051), (7058),
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (7059), (function-axioms) are inconsistent by
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #639.
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (7060) all_56_15 = e2 & op(e0, e0) = e2
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7060) implies:
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (7061) op(e0, e0) = e2
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6895), (7061), (function-axioms) are
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1842.
% 246.33/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | (7062) all_54_5 = e1 | all_54_5 = e0
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (6865), (6897), (7062) are inconsistent by
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1845.
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (7063) all_32_2 = e0
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (7063) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (7064) all_4_2 = e0
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (7064) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (7065) op(e2, e2) = e0
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (67),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (100), (110), (113), (117), (118), (121), (123),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (125), (126), (128), (133), (134), (135), (139),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (140), (141), (143), (144), (145), (146), (148),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (149), (157), (158), (159), (160), (162), (163),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (190),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (191), (192), (193), (195), (197), (198), (200),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (218), (219), (220), (221),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (235), (238),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (239), (247), (248), (249), (250), (258), (260),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (261), (269), (318), (352), (354), (360), (373),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (5801), (5803), (5804), (5806), (5807), (5808),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (5812), (5813), (5814), (5816), (6853), (6854),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (6855), (6856), (6857), (6858), (6862), (6863),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (6865), (6868), (6886), (6887), (6889), (6894),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (6895), (7065), (function-axioms) are inconsistent
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | by sub-proof #636.
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.60 | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | (7066) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 246.33/42.60 | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | ALPHA: (7066) implies:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | (7067) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | e1) = e0)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | BETA: splitting (7067) gives:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (7068) all_56_12 = e0 & op(e0, e3) = e0
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | ALPHA: (7068) implies:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (7069) op(e0, e3) = e0
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (6886), (7069), (function-axioms) are
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1830.
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (7070) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (6887), (6888), (7070),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | #635.
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.60 | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.60 | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | End of split
% 246.33/42.60 | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | End of split
% 246.33/42.60 | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | End of split
% 246.33/42.60 | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | Case 2:
% 246.33/42.60 | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | (7071) all_28_2 = e2
% 246.33/42.60 | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | COMBINE_EQS: (330), (7071) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | (7072) all_14_2 = e2
% 246.33/42.60 | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | SIMP: (7072) implies:
% 246.33/42.60 | | | | | | | | | | | | | | | (7073) all_14_2 = e2
% 246.33/42.60 | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | REDUCE: (372), (7073) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | (7074) ~ (all_52_14 = e2)
% 246.33/42.60 | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | REDUCE: (5816), (7073) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | (7075) ~ (e3 = e2)
% 246.33/42.60 | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | REDUCE: (51), (7073) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | (7076) op(e0, e0) = e2
% 246.33/42.60 | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 246.33/42.60 | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | Case 1:
% 246.33/42.60 | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | (7077) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 246.33/42.60 | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 246.33/42.60 | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | BETA: splitting (7077) gives:
% 246.33/42.60 | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.60 | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | (7078) all_56_6 = e2 & op(e1, e3) = e2
% 246.33/42.60 | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | ALPHA: (7078) implies:
% 246.33/42.60 | | | | | | | | | | | | | | | | | (7079) op(e1, e3) = e2
% 246.33/42.60 | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5805), (7079), (function-axioms) are
% 246.33/42.60 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #806.
% 246.33/42.60 | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.60 | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | (7080) all_56_7 = e2 & op(e1, e2) = e2
% 246.33/42.60 | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | ALPHA: (7080) implies:
% 246.33/42.60 | | | | | | | | | | | | | | | | | (7081) all_56_7 = e2
% 246.33/42.60 | | | | | | | | | | | | | | | | | (7082) op(e1, e2) = e2
% 246.33/42.60 | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 246.33/42.60 | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.60 | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | (7083) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 246.33/42.60 | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 246.33/42.60 | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | BETA: splitting (7083) gives:
% 246.33/42.60 | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | (7084) all_56_4 = e2 & op(e3, e1) = e2
% 246.33/42.60 | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | ALPHA: (7084) implies:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | (7085) op(e3, e1) = e2
% 246.33/42.60 | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5808), (7085), (function-axioms) are
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #791.
% 246.33/42.60 | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | (7086) all_56_5 = e2 & op(e2, e1) = e2
% 246.33/42.60 | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | ALPHA: (7086) implies:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | (7087) op(e2, e1) = e2
% 246.33/42.60 | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (7082) gives:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | (7088) all_52_6 = e2
% 246.33/42.60 | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (7087) gives:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | (7089) all_52_9 = e2
% 246.33/42.60 | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | REDUCE: (126), (7088) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | (7090) ~ (all_52_14 = e2)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | REDUCE: (117), (7089) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | (7091) ~ (all_52_13 = e2)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | SIMP: (7091) implies:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | (7092) ~ (all_52_13 = e2)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | REDUCE: (358), (7089) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | (7093) ~ (all_4_2 = e2)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | SIMP: (7093) implies:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | (7094) ~ (all_4_2 = e2)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (7095) all_54_5 = e3
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (7095) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (7096) all_4_2 = e3
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (7096) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (7097) $false
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | CLOSE: (7097) is inconsistent.
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (7098) ~ (all_54_5 = e3)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | (7099) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7099) gives:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | (7100) all_54_5 = e2
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (7100) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | (7101) all_4_2 = e2
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7094), (7101) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | (7102) $false
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | CLOSE: (7102) is inconsistent.
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | (7103) ~ (all_54_5 = e2)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | (7104) all_54_5 = e1 | all_54_5 = e0
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7104) gives:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | (7105) all_54_5 = e1
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (7105) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | (7106) all_4_2 = e1
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6865), (7106) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | (7107) $false
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7107) is inconsistent.
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | (7108) all_54_5 = e0
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (7108) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | (7109) all_4_2 = e0
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (7109) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | (7110) all_32_2 = e0
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (7109) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | (7111) all_36_2 = e0
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (356), (7109) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | (7112) ~ (all_52_7 = e0)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (7109) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | (7113) ~ (all_52_13 = e0)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (7109) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | (7114) ~ (e3 = e0)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7094), (7109) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | (7115) ~ (e2 = e0)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6865), (7109) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | (7116) ~ (e1 = e0)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (7109) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | (7117) op(e2, e2) = e0
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | (7118) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7118) gives:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | (7119) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16))) & ((all_57_30 = e3 & op(e1,
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e3) | ( ~ (all_57_17 = e1) & op(e1,
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_17 & $i(all_57_17))) &
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7119) implies:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | (7120) op(e3, e0) = all_57_25
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | (7121) op(e3, e1) = all_57_22
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | (7122) op(e3, e2) = all_57_19
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | (7123) op(e3, e3) = all_57_26
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | (7124) op(e3, all_57_26) = e3
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | (7125) op(e3, all_57_19) = e2
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | (7126) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18))
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | (7127) (all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16))
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7127) gives:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | (7128) all_57_28 = e3 & op(e2, e2) = e3
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7128) implies:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | (7129) op(e2, e2) = e3
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (7129), (function-axioms) are
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | (7130) ~ (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7130) implies:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | (7131) ~ (all_57_16 = e2)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | (7132) op(e2, e3) = all_57_16
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7126) gives:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (7133) all_57_31 = e3 & op(e0, e0) = e3
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7133) implies:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (7134) op(e0, e0) = e3
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7076), (7134), (function-axioms) are
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1063.
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (7135) ~ (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7135) implies:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (7136) ~ (all_57_18 = e0)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (7137) op(e0, e3) = all_57_18
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18, e3, e0, simplifying with (159), (7137)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (7138) all_57_18 = all_52_3
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16, e3, e2, simplifying with (167), (7132)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (7139) all_57_16 = all_52_1
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25, e0, e3, simplifying with (168), (7120)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (7140) all_57_25 = all_52_12
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22, e1, e3, simplifying with (169), (7121)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (7141) all_57_22 = all_52_8
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19, e2, e3, simplifying with (170), (7122)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (7142) all_57_19 = all_52_4
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26, e3, e3, simplifying with (5813), (7123)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (7143) all_57_26 = e2
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7136), (7138) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (7144) ~ (all_52_3 = e0)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7125), (7142) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (7145) op(e3, all_52_4) = e2
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7124), (7143) imply:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (7146) op(e3, e2) = e3
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7147) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (167), (222),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (373), (5804), (5813), (7117),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7147), (function-axioms) are inconsistent by
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #724.
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7148) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7148) gives:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7149) all_56_6 = e0 & op(e1, e3) = e0
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7149) implies:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7150) all_56_6 = e0
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7151) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7151) gives:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7152) all_56_6 = e1 & op(e1, e3) = e1
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7150), (7152) are inconsistent by sub-proof
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #886.
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7153) all_56_7 = e1 & op(e1, e2) = e1
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7153) implies:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7154) op(e1, e2) = e1
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7082), (7154), (function-axioms) are
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #768.
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7155) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7155) gives:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7156) all_56_8 = e1 & op(e1, e1) = e1
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7156) implies:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7157) op(e1, e1) = e1
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6863), (7157), (function-axioms) are
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1875.
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7158) all_56_11 = e1 & op(e1, e0) = e1
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7158) implies:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7159) all_56_11 = e1
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7160) op(e1, e0) = e1
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7161) all_56_15 = e0 & op(e0, e0) = e0
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7161) implies:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7162) all_56_15 = e0
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7163) op(e0, e0) = e0
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (67),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (100), (110), (113), (117), (118), (121), (123),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (125), (126), (128), (133), (134), (135), (139),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (140), (141), (143), (144), (145), (146), (148),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (157), (158), (159), (160), (162), (163),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (190),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (193), (195), (197), (198), (200),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (218), (219), (220), (221),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (235), (238),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (247), (248), (249), (250), (258), (260),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (261), (269), (318), (352), (354), (360), (373),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5801), (5803), (5804), (5806), (5807), (5808),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5812), (5813), (5814), (5816), (6853), (6854),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6855), (6856), (6857), (6858), (6862), (6863),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6865), (6868), (7112), (7113), (7117), (7144),
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7162), (7163), (function-axioms) are inconsistent
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #636.
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7164) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7164) implies:
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7165) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 246.33/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7166) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7165) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7167) all_56_12 = e0 & op(e0, e3) = e0
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7167) implies:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7168) op(e0, e3) = e0
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (7144), (7168), (function-axioms) are
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1830.
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7169) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7169) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7170) all_56_13 = e0 & op(e0, e2) = e0
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7170) implies:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7171) op(e0, e2) = e0
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (7112), (7171), (function-axioms) are
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #802.
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7172) all_56_14 = e0 & op(e0, e1) = e0
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7172) implies:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7173) op(e0, e1) = e0
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7166) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7174) all_56_9 = e0 & op(e3, e0) = e0
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7174) implies:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7175) all_56_9 = e0
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7176) op(e3, e0) = e0
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7177) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7177) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7178) all_56_9 = e3 & op(e3, e0) = e3
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7178) implies:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7179) all_56_9 = e3
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7175), (7179) are inconsistent by sub-proof
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1746.
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7180) all_56_10 = e3 & op(e2, e0) = e3
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7180) implies:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7181) all_56_10 = e3
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7182) op(e2, e0) = e3
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7183) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7183) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7184) all_56_4 = e1 & op(e3, e1) = e1
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7184) implies:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7185) op(e3, e1) = e1
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7186) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7186) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7187) all_56_0 = e3 & op(e3, e3) = e3
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7187) implies:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7188) op(e3, e3) = e3
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5813), (7188), (function-axioms) are
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7189) all_56_1 = e3 & op(e3, e2) = e3
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7189) implies:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7190) all_56_1 = e3
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7191) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7191) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7192) all_56_1 = e1 & op(e3, e2) = e1
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7192) implies:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7193) all_56_1 = e1
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7190), (7193) are inconsistent by sub-proof
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #634.
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7194) all_56_3 = e1 & op(e2, e2) = e1
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7194) implies:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7195) op(e2, e2) = e1
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (158), (215), (225),
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6863), (7112), (7150), (7160), (7190), (7195),
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #675.
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7196) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7196) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7197) all_56_7 = e1 & op(e1, e2) = e1
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7081), (7197) are inconsistent by sub-proof
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1366.
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7198) all_56_13 = e1 & op(e0, e2) = e1
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7198) implies:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7199) all_56_13 = e1
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7200) op(e0, e2) = e1
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7201) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7201) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7202) all_56_2 = e1 & op(e2, e3) = e1
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7202) implies:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7203) all_56_2 = e1
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7204) op(e2, e3) = e1
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (7200) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7205) all_52_7 = e1
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (7160) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7206) all_52_14 = e1
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e2, simplifying with (164), (7182) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7207) all_52_13 = e3
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (7204) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7208) all_52_1 = e1
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e3, simplifying with (168), (7176) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7209) all_52_12 = e0
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (7146) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7210) all_52_4 = e3
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7140), (7209) imply:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7211) all_57_25 = e0
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6858), (7206) imply:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7212) ~ (e3 = e1)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7074), (7206) imply:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7213) ~ (e2 = e1)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7214) ~ (all_32_2 = e0)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7110), (7214) imply:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7215) $false
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7215) is inconsistent.
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7216) ( ~ (all_32_0 = e1) & op(all_32_1, all_32_1) =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_0 & op(e0, e2) = all_32_1 & $i(all_32_0)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_32_1)) | ( ~ (all_32_1 = e3) & op(e0,
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_32_1 & $i(all_32_1))
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7217) ~ (all_46_2 = e2)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5803), (7217) imply:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7218) $false
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7218) is inconsistent.
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7219) ( ~ (all_46_0 = e0) & op(all_46_1, all_46_1) =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_46_0 & op(e2, e3) = all_46_1 & $i(all_46_0)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_46_1)) | ( ~ (all_46_1 = e1) & op(e2,
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_46_1 & $i(all_46_1))
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7219) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7220) ~ (all_46_0 = e0) & op(all_46_1, all_46_1) =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_46_0 & op(e2, e3) = all_46_1 & $i(all_46_0) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7220) implies:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7221) op(e2, e3) = all_46_1
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7222) op(all_46_1, all_46_1) = all_46_0
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7223) ~ (all_36_2 = e0)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7111), (7223) imply:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7224) $false
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7224) is inconsistent.
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7225) ( ~ (all_36_0 = e3) & op(all_36_1, all_36_1) =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_36_0 & op(e0, e2) = all_36_1 & $i(all_36_0)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_36_1)) | ( ~ (all_36_1 = e1) & op(e0,
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_36_1 & $i(all_36_1))
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7226) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7226) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7227) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7227) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7228) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7228) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7229) all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_17) & $i(all_57_28)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7229) implies:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7230) op(e2, e3) = e2
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7132), (7204), (7230), (function-axioms) are
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1019.
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7231) all_57_16 = e2 & all_57_31 = e3 & ~ (all_57_18 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e0, e3) = all_57_18 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_28)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7231) implies:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7232) op(e2, e3) = e2
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7132), (7204), (7232), (function-axioms) are
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1019.
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7233) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (7076), (7233),
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #795.
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7234) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7234) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7235) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5813), (7235), (function-axioms) are inconsistent
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #633.
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7236) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7236) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7237) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7237) implies:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7238) ~ (all_57_19 = e3)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7122), (7146), (7238), (function-axioms) are
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1792.
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7239) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7082), (7087), (7239), (function-axioms) are
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #767.
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7240) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7240) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7241) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7241) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7242) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7242) gives:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7243) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7243) implies:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7244) op(e0, e0) = e1
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7076), (7244), (function-axioms) are
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7245) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7245) implies:
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7246) op(e3, e3) = e1
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7203), (7204), (7246), (function-axioms) are
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #965.
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7247) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7247) gives:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7248) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7248) implies:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7249) op(e0, e0) = e1
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7076), (7249), (function-axioms) are
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7250) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7250) gives:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7251) all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7251) implies:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7252) all_57_25 = e3
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7211), (7252) imply:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7253) e3 = e0
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7253) implies:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7254) e3 = e0
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7190), (7254) imply:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7255) all_56_1 = e0
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (227), (228),
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (7117), (7199), (7255), (function-axioms)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1815.
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7256) all_57_25 = e3 & all_57_30 = e0 & ~ (all_57_26 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e3, e3) =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_26) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7256) implies:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7257) ~ (all_57_29 = e1)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7258) op(e1, e0) = all_57_29
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7160), (7257), (7258), (function-axioms) are
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7259) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7259) gives:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7260) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (7260), (function-axioms) are
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #803.
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7261) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7261) gives:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7262) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7262) implies:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7263) ~ (all_57_29 = e1)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7264) op(e1, e0) = all_57_29
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7160), (7263), (7264), (function-axioms) are
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7265) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7265) gives:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7266) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7266) implies:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7267) op(e1, e1) = all_57_30
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7225) gives:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7268) ~ (all_36_0 = e3) & op(all_36_1, all_36_1) =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_36_0 & op(e0, e2) = all_36_1 & $i(all_36_0) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7268) implies:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7269) ~ (all_36_0 = e3)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7270) op(e0, e2) = all_36_1
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7271) op(all_36_1, all_36_1) = all_36_0
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_36_1,
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (7200), (7270) gives:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7272) all_36_1 = e1
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (6863), (7267)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7273) all_57_30 = e3
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_46_1,
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (7204), (7221) gives:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7274) all_46_1 = e1
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7222), (7274) imply:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7275) op(e1, e1) = all_46_0
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7271), (7272) imply:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7276) op(e1, e1) = all_36_0
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_46_0,
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (6863), (7275) gives:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7277) all_46_0 = e3
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_36_0,
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_46_0, e1, e1, simplifying with (7275), (7276)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7278) all_46_0 = all_36_0
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7277), (7278) imply:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7279) all_36_0 = e3
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7279) implies:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7280) all_36_0 = e3
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7269), (7280) imply:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7281) $false
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7281) is inconsistent.
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7282) ~ (all_36_1 = e1) & op(e0, e2) = all_36_1 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7200), (7216), (7282), (function-axioms) are
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1747.
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7283) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7283) implies:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7284) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7284) gives:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7285) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (159), (373), (7144), (7146), (7285),
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #658.
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7286) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7286) gives:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7287) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7287) implies:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7288) op(e1, e1) = e2
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6863), (7288), (function-axioms) are
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7289) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7087), (7203), (7204), (7289), (function-axioms)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #632.
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7290) ~ (all_46_1 = e1) & op(e2, e3) = all_46_1 &
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7290) implies:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7291) ~ (all_46_1 = e1)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7292) op(e2, e3) = all_46_1
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7204), (7291), (7292), (function-axioms) are
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #736.
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7293) all_56_3 = e1 & op(e2, e2) = e1
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7293) implies:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7294) op(e2, e2) = e1
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (158), (215), (225),
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6863), (7112), (7150), (7160), (7190), (7294),
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #675.
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7295) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (7087), (7181), (7295),
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #665.
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7296) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7296) gives:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7297) all_56_4 = e3 & op(e3, e1) = e3
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7297) implies:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7298) op(e3, e1) = e3
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7185), (7298), (function-axioms) are
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #998.
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7299) all_56_9 = e3 & op(e3, e0) = e3
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7299) implies:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7300) all_56_9 = e3
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7175), (7300) are inconsistent by sub-proof
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1746.
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7301) all_56_5 = e1 & op(e2, e1) = e1
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7301) implies:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7302) op(e2, e1) = e1
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7087), (7302), (function-axioms) are
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1582.
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7303) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (6863), (7173), (7303),
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1222.
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7304) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (165), (169),
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (220), (6855), (6856),
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6857), (7076), (7304), (function-axioms) are
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #662.
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7305) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7305) gives:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7306) all_56_10 = e0 & op(e2, e0) = e0
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7306) implies:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7307) all_56_10 = e0
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7308) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7308) gives:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7309) all_56_4 = e1 & op(e3, e1) = e1
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7309) implies:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7310) all_56_4 = e1
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7311) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7311) gives:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7312) all_56_2 = e3 & op(e2, e3) = e3
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7312) implies:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7313) all_56_2 = e3
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7314) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7314) gives:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7315) all_56_0 = e1 & op(e3, e3) = e1
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7315) implies:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7316) op(e3, e3) = e1
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (36), (169), (239), (373), (6855),
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6863), (7076), (7146), (7160), (7173), (7316),
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1142.
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7317) all_56_2 = e1 & op(e2, e3) = e1
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7317) implies:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7318) all_56_2 = e1
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7313), (7318) are inconsistent by sub-proof
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1439.
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7319) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7319) gives:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7320) all_56_6 = e1 & op(e1, e3) = e1
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7320) implies:
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7321) all_56_6 = e1
% 246.33/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (159), (229), (5813), (7144),
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7313), (7321), (function-axioms) are inconsistent
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #748.
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7322) all_56_12 = e1 & op(e0, e3) = e1
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7322) implies:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7323) all_56_12 = e1
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7324) op(e0, e3) = e1
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7325) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7325) gives:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7326) all_56_2 = e1 & op(e2, e3) = e1
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7326) implies:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7327) all_56_2 = e1
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (229), (235), (5812),
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5813), (7323), (7324), (7327), (function-axioms)
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #778.
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7328) all_56_3 = e1 & op(e2, e2) = e1
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7328) implies:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7329) op(e2, e2) = e1
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7117), (7329), (function-axioms) are
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1795.
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7330) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7087), (7307), (7330),
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #631.
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7331) all_56_3 = e3 & op(e2, e2) = e3
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7331) implies:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7332) op(e2, e2) = e3
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (7332), (function-axioms) are
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7333) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7333) gives:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7334) all_56_5 = e3 & op(e2, e1) = e3
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7334) implies:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7335) all_56_5 = e3
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (217), (219), (6863),
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7310), (7335), (function-axioms) are inconsistent
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1039.
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7336) all_56_10 = e3 & op(e2, e0) = e3
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7336) implies:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7337) all_56_10 = e3
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7307), (7337) are inconsistent by sub-proof
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1667.
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7338) all_56_5 = e1 & op(e2, e1) = e1
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7338) implies:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7339) op(e2, e1) = e1
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7087), (7339), (function-axioms) are
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1582.
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7340) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (6863), (7173), (7340),
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1222.
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7341) all_56_11 = e0 & op(e1, e0) = e0
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7159), (7341) are inconsistent by sub-proof
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1805.
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7342) all_56_12 = e0 & op(e0, e3) = e0
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7342) implies:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7343) op(e0, e3) = e0
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (7144), (7343), (function-axioms) are
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1830.
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | (7344) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e2 & op(e3, e3) = e2) | ( ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & op(e3, e2) = all_57_19 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19))) & ((all_57_30 = e2 & op(e1,
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_20 = e1) & op(e1,
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_20 & $i(all_57_20))) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)))
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7344) implies:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | (7345) op(e2, e1) = all_57_23
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | (7346) op(e2, e2) = all_57_28
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | (7347) op(e2, all_57_23) = e1
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (165), (198), (261), (6856), (7087), (7117),
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | (7345), (7346), (7347), (function-axioms) are
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1593.
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | (7348) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7348) gives:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | (7349) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7349) implies:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | (7350) (all_57_28 = e1 & op(e2, e2) = e1) | ( ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & op(e2, e1) = all_57_23 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7087), (7117), (7350), (function-axioms) are
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1789.
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | (7351) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7351) implies:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | (7352) op(e0, all_57_18) = e3
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | (7353) (all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | (7354) (all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7354) gives:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | (7355) all_57_26 = e0 & op(e3, e3) = e0
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7355) implies:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | (7356) op(e3, e3) = e0
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (7356), (function-axioms) are
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #808.
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | (7357) ~ (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7357) implies:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | (7358) ~ (all_57_25 = e3)
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | (7359) op(e3, e0) = all_57_25
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7353) gives:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (7360) all_57_30 = e0 & op(e1, e1) = e0
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7360) implies:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (7361) op(e1, e1) = e0
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6863), (7361), (function-axioms) are
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1771.
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (7362) ~ (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7362) implies:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (7363) ~ (all_57_29 = e1)
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (7364) op(e1, e0) = all_57_29
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7365) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7365) gives:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7366) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7366) gives:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7367) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5804), (7367), (function-axioms) are
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1721.
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7368) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (7076), (7368),
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #795.
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7369) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7369) gives:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7370) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5813), (6863), (7370), (function-axioms) are
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #630.
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7371) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7082), (7087), (7371), (function-axioms) are
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #766.
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7372) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7372) gives:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7373) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7373) gives:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7374) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7374) gives:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7375) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7375) implies:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7376) op(e0, e0) = e1
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7076), (7376), (function-axioms) are
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7377) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7377) implies:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7378) op(e3, e3) = e1
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (157), (167),
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (209), (213), (214), (215), (216),
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (5804), (5816), (6857), (6863), (7076),
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7081), (7378), (function-axioms) are inconsistent
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1139.
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7379) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 246.33/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7076), (7358), (7359), (7379),
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #721.
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7380) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7380) gives:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7381) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (7381), (function-axioms) are
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #803.
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7382) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7382) gives:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7383) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7383) implies:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7384) ~ (all_57_28 = e0)
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7385) op(e2, e2) = all_57_28
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7117), (7384), (7385), (function-axioms) are
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1781.
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7386) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7386) gives:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7387) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7387) implies:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7388) op(e1, e0) = e1
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7363), (7364), (7388), (function-axioms) are
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7389) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7389) implies:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7390) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7390) gives:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7391) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7391) gives:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7392) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7392) implies:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7393) op(e2, e2) = e3
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (7393), (function-axioms) are
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7394) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7394) gives:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7395) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7395) implies:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7396) all_57_18 = e0
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7352), (7396) imply:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7397) op(e0, e0) = e3
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7076), (7397), (function-axioms) are
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1063.
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7398) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7398) implies:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7399) op(e0, e2) = e0
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (7112), (7399), (function-axioms) are
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #802.
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7400) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (157), (167),
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (209), (213), (214), (215), (216),
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (5804), (5816), (6857), (6863), (7076),
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7081), (7087), (7400), (function-axioms) are
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #629.
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.64 | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | (7401) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 246.33/42.64 | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 246.33/42.64 | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | BETA: splitting (7401) gives:
% 246.33/42.64 | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | (7402) all_56_8 = e2 & op(e1, e1) = e2
% 246.33/42.64 | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | ALPHA: (7402) implies:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | (7403) op(e1, e1) = e2
% 246.33/42.64 | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6863), (7403), (function-axioms) are
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 246.33/42.64 | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | (7404) all_56_14 = e2 & op(e0, e1) = e2
% 246.33/42.64 | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | ALPHA: (7404) implies:
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | (7405) all_56_14 = e2
% 246.33/42.64 | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (157), (163),
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | (206), (207), (209), (229), (235), (5812), (5813),
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | (5816), (6853), (6857), (7076), (7405),
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.64 | | | | | | | | | | | | | | | | | | | #641.
% 246.33/42.64 | | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | Case 2:
% 246.33/42.64 | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | (7406) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 246.33/42.64 | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 246.33/42.64 | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | BETA: splitting (7406) gives:
% 246.33/42.64 | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.64 | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | (7407) all_56_8 = e2 & op(e1, e1) = e2
% 246.33/42.64 | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | ALPHA: (7407) implies:
% 246.33/42.64 | | | | | | | | | | | | | | | | | (7408) op(e1, e1) = e2
% 246.33/42.64 | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6863), (7408), (function-axioms) are
% 246.33/42.64 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 246.33/42.64 | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.64 | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | (7409) all_56_11 = e2 & op(e1, e0) = e2
% 246.33/42.64 | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | ALPHA: (7409) implies:
% 246.33/42.64 | | | | | | | | | | | | | | | | | (7410) op(e1, e0) = e2
% 246.33/42.64 | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (7074), (7410), (function-axioms) are
% 246.33/42.64 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #756.
% 246.33/42.64 | | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | Case 2:
% 246.33/42.64 | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | (7411) all_24_2 = e1
% 246.33/42.64 | | | | | | | | | | | | | (7412) ( ~ (all_24_0 = e0) & op(all_24_1, all_24_1) =
% 246.33/42.64 | | | | | | | | | | | | | all_24_0 & op(e1, e2) = all_24_1 & $i(all_24_0)
% 246.33/42.64 | | | | | | | | | | | | | & $i(all_24_1)) | ( ~ (all_24_1 = e3) & op(e1,
% 246.33/42.64 | | | | | | | | | | | | | e2) = all_24_1 & $i(all_24_1))
% 246.33/42.64 | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | COMBINE_EQS: (318), (7411) imply:
% 246.33/42.64 | | | | | | | | | | | | | (7413) all_4_2 = e1
% 246.33/42.64 | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | SIMP: (7413) implies:
% 246.33/42.64 | | | | | | | | | | | | | (7414) all_4_2 = e1
% 246.33/42.64 | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | COMBINE_EQS: (292), (7414) imply:
% 246.33/42.64 | | | | | | | | | | | | | (7415) all_44_2 = e1
% 246.33/42.64 | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | REDUCE: (352), (7414) imply:
% 246.33/42.64 | | | | | | | | | | | | | (7416) ~ (all_52_4 = e1)
% 246.33/42.64 | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | REDUCE: (354), (7414) imply:
% 246.33/42.64 | | | | | | | | | | | | | (7417) ~ (all_52_6 = e1)
% 246.33/42.64 | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | REDUCE: (356), (7414) imply:
% 246.33/42.64 | | | | | | | | | | | | | (7418) ~ (all_52_7 = e1)
% 246.33/42.64 | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | REDUCE: (358), (7414) imply:
% 246.33/42.64 | | | | | | | | | | | | | (7419) ~ (all_52_9 = e1)
% 246.33/42.64 | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | REDUCE: (360), (7414) imply:
% 246.33/42.64 | | | | | | | | | | | | | (7420) ~ (all_52_13 = e1)
% 246.33/42.64 | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | REDUCE: (373), (7414) imply:
% 246.33/42.64 | | | | | | | | | | | | | (7421) ~ (e3 = e1)
% 246.33/42.64 | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | REDUCE: (36), (7414) imply:
% 246.33/42.64 | | | | | | | | | | | | | (7422) op(e2, e2) = e1
% 246.33/42.64 | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | BETA: splitting (238) gives:
% 246.33/42.64 | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | Case 1:
% 246.33/42.64 | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | (7423) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.33/42.64 | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.33/42.64 | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.33/42.64 | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.33/42.64 | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.33/42.64 | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.33/42.64 | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.33/42.64 | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.33/42.64 | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.33/42.64 | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.33/42.64 | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.33/42.64 | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.33/42.64 | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.33/42.64 | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.33/42.64 | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.33/42.64 | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.33/42.64 | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.33/42.64 | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 246.33/42.64 | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 246.33/42.64 | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.33/42.64 | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.33/42.64 | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 246.33/42.64 | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 246.33/42.64 | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 246.33/42.64 | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 246.33/42.64 | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 246.33/42.64 | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 246.33/42.64 | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 246.33/42.64 | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.33/42.64 | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.33/42.64 | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.33/42.64 | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.33/42.64 | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.33/42.64 | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.33/42.64 | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.33/42.64 | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.33/42.64 | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.33/42.64 | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.33/42.64 | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.33/42.64 | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | BETA: splitting (7423) gives:
% 246.33/42.64 | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | Case 1:
% 246.33/42.64 | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | (7424) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.33/42.64 | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.33/42.64 | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.33/42.64 | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.33/42.64 | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.33/42.64 | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.33/42.64 | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.33/42.64 | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.33/42.64 | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.33/42.64 | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.33/42.64 | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.33/42.64 | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.33/42.64 | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.33/42.64 | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.33/42.64 | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.33/42.64 | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.33/42.64 | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.33/42.64 | | | | | | | | | | | | | | | $i(all_57_30))
% 246.33/42.64 | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | BETA: splitting (7424) gives:
% 246.33/42.64 | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | Case 1:
% 246.33/42.64 | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | (7425) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.33/42.64 | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.33/42.64 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.33/42.64 | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.33/42.64 | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.33/42.64 | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.33/42.64 | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.33/42.64 | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.33/42.64 | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 246.33/42.64 | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5804), (7425), (function-axioms) are
% 246.33/42.64 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1721.
% 246.33/42.64 | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | Case 2:
% 246.33/42.64 | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | (7426) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 246.33/42.64 | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 246.33/42.64 | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 246.33/42.64 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 246.33/42.64 | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 246.33/42.64 | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 246.33/42.64 | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 246.33/42.64 | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.33/42.64 | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 246.33/42.64 | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (5816), (7422), (7426),
% 246.33/42.64 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.64 | | | | | | | | | | | | | | | | #1541.
% 246.33/42.64 | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | Case 2:
% 246.33/42.64 | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | (7427) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.33/42.64 | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.33/42.64 | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.33/42.64 | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.33/42.64 | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.33/42.64 | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.33/42.64 | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.33/42.64 | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.33/42.64 | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 246.33/42.64 | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.33/42.64 | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.33/42.64 | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 246.33/42.64 | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 246.33/42.64 | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.33/42.64 | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.33/42.64 | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.33/42.64 | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.33/42.64 | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.33/42.64 | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.33/42.64 | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.33/42.64 | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.33/42.64 | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.33/42.64 | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | BETA: splitting (7427) gives:
% 246.33/42.64 | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | Case 1:
% 246.33/42.64 | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | (7428) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.33/42.64 | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.33/42.64 | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.33/42.64 | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.33/42.64 | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.33/42.64 | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.33/42.64 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.33/42.64 | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.33/42.64 | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 246.33/42.64 | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5813), (6863), (7428), (function-axioms) are
% 246.33/42.64 | | | | | | | | | | | | | | | | inconsistent by sub-proof #630.
% 246.33/42.64 | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | Case 2:
% 246.33/42.64 | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | (7429) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.33/42.64 | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.33/42.64 | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.33/42.64 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.33/42.64 | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.33/42.64 | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.33/42.64 | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.33/42.64 | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.33/42.64 | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.33/42.64 | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.33/42.64 | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.33/42.64 | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.33/42.64 | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.33/42.64 | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | | REF_CLOSE: (162), (169), (6855), (7417), (7429),
% 246.33/42.64 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.64 | | | | | | | | | | | | | | | | #1540.
% 246.33/42.64 | | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | | End of split
% 246.33/42.64 | | | | | | | | | | | | | |
% 246.33/42.64 | | | | | | | | | | | | | Case 2:
% 246.33/42.64 | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | (7430) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.33/42.65 | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.33/42.65 | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.33/42.65 | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.33/42.65 | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.33/42.65 | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.33/42.65 | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.33/42.65 | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.33/42.65 | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.33/42.65 | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.33/42.65 | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.33/42.65 | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.33/42.65 | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.33/42.65 | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.33/42.65 | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.33/42.65 | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.33/42.65 | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.33/42.65 | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.33/42.65 | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.33/42.65 | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.33/42.65 | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.33/42.65 | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 246.33/42.65 | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 246.33/42.65 | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 246.33/42.65 | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 246.33/42.65 | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 246.33/42.65 | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 246.33/42.65 | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 246.33/42.65 | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 246.33/42.65 | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 246.33/42.65 | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 246.33/42.65 | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 246.33/42.65 | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 246.33/42.65 | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.33/42.65 | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 246.33/42.65 | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 246.33/42.65 | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 246.33/42.65 | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 246.33/42.65 | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 246.33/42.65 | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.33/42.65 | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 246.33/42.65 | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 246.33/42.65 | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 246.33/42.65 | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 246.33/42.65 | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.33/42.65 | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.33/42.65 | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.33/42.65 | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.33/42.65 | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.33/42.65 | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.33/42.65 | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.33/42.65 | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.33/42.65 | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.33/42.65 | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.33/42.65 | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.33/42.65 | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.33/42.65 | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.33/42.65 | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.33/42.65 | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.33/42.65 | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.33/42.65 | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.33/42.65 | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.33/42.65 | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.33/42.65 | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.33/42.65 | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | BETA: splitting (7430) gives:
% 246.33/42.65 | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | Case 1:
% 246.33/42.65 | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | (7431) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.33/42.65 | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.33/42.65 | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.33/42.65 | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.33/42.65 | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.33/42.65 | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.33/42.65 | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.33/42.65 | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.33/42.65 | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.33/42.65 | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.33/42.65 | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.33/42.65 | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.33/42.65 | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.33/42.65 | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.33/42.65 | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.33/42.65 | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.33/42.65 | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.33/42.65 | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.33/42.65 | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.33/42.65 | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.33/42.65 | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.33/42.65 | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.33/42.65 | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | BETA: splitting (7431) gives:
% 246.33/42.65 | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | Case 1:
% 246.33/42.65 | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | (7432) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.33/42.65 | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.33/42.65 | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.33/42.65 | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.33/42.65 | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.33/42.65 | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.33/42.65 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.33/42.65 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.33/42.65 | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 246.33/42.65 | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | REF_CLOSE: (6), (51), (5813), (5814), (7432),
% 246.33/42.65 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.65 | | | | | | | | | | | | | | | | #809.
% 246.33/42.65 | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | Case 2:
% 246.33/42.65 | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | (7433) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.33/42.65 | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.33/42.65 | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.33/42.65 | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.33/42.65 | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 246.33/42.65 | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 246.33/42.65 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.33/42.65 | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.33/42.65 | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 246.33/42.65 | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 246.33/42.65 | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 246.33/42.65 | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 246.33/42.65 | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 246.33/42.65 | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | BETA: splitting (7433) gives:
% 246.33/42.65 | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.65 | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | (7434) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.33/42.65 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.33/42.65 | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.33/42.65 | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.33/42.65 | | | | | | | | | | | | | | | | | $i(all_57_28)
% 246.33/42.65 | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | ALPHA: (7434) implies:
% 246.33/42.65 | | | | | | | | | | | | | | | | | (7435) op(e0, e0) = e1
% 246.33/42.65 | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (5814), (7435), (function-axioms) are
% 246.33/42.65 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1865.
% 246.33/42.65 | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.65 | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | (7436) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 246.33/42.65 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.33/42.65 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.33/42.65 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.33/42.65 | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.33/42.65 | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.33/42.65 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.33/42.65 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.33/42.65 | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.33/42.65 | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (6863), (7422), (7436),
% 246.33/42.65 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.65 | | | | | | | | | | | | | | | | | #812.
% 246.33/42.65 | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | End of split
% 246.33/42.65 | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | End of split
% 246.33/42.65 | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | Case 2:
% 246.33/42.65 | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | (7437) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.33/42.65 | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.33/42.65 | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.33/42.65 | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.33/42.65 | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.33/42.65 | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.33/42.65 | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.33/42.65 | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.33/42.65 | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 246.33/42.65 | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 246.33/42.65 | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 246.33/42.65 | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 246.33/42.65 | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 246.33/42.65 | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.33/42.65 | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.33/42.65 | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.33/42.65 | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.33/42.65 | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.33/42.65 | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.33/42.65 | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.33/42.65 | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.33/42.65 | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.33/42.65 | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.33/42.65 | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.33/42.65 | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.33/42.65 | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.33/42.65 | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.33/42.65 | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.33/42.65 | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.33/42.65 | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.33/42.65 | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.33/42.65 | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.33/42.65 | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.33/42.65 | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.33/42.65 | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.33/42.65 | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.33/42.65 | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.33/42.65 | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.33/42.65 | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.33/42.65 | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.33/42.65 | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.33/42.65 | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.33/42.65 | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | BETA: splitting (7437) gives:
% 246.33/42.65 | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | Case 1:
% 246.33/42.65 | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | (7438) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.33/42.65 | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.33/42.65 | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.33/42.65 | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.33/42.65 | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.33/42.65 | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.33/42.65 | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.33/42.65 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.33/42.65 | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 246.33/42.65 | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (7438), (function-axioms) are
% 246.33/42.65 | | | | | | | | | | | | | | | | inconsistent by sub-proof #803.
% 246.33/42.65 | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | Case 2:
% 246.33/42.65 | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | (7439) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.33/42.65 | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.33/42.65 | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.33/42.65 | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.33/42.65 | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 246.33/42.65 | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 246.33/42.65 | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.33/42.65 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.33/42.65 | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 246.33/42.65 | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 246.33/42.65 | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.33/42.65 | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 246.33/42.65 | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.33/42.65 | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.33/42.65 | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.33/42.65 | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 246.33/42.65 | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.33/42.65 | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.33/42.65 | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.33/42.65 | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.33/42.65 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.33/42.65 | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.33/42.65 | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.33/42.65 | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.33/42.65 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.33/42.65 | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.33/42.65 | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.33/42.65 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.33/42.65 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.33/42.65 | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.33/42.65 | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.33/42.65 | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.33/42.65 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.33/42.65 | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | BETA: splitting (7439) gives:
% 246.33/42.65 | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.65 | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | (7440) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.33/42.65 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.33/42.65 | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.33/42.65 | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.33/42.65 | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.33/42.65 | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | ALPHA: (7440) implies:
% 246.33/42.65 | | | | | | | | | | | | | | | | | (7441) op(e1, e1) = e0
% 246.33/42.65 | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6863), (7441), (function-axioms) are
% 246.33/42.65 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1771.
% 246.33/42.65 | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.65 | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | (7442) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.33/42.65 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.33/42.65 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.33/42.65 | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.33/42.65 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.33/42.65 | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.33/42.65 | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.33/42.65 | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.33/42.65 | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.33/42.65 | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.33/42.65 | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.33/42.65 | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.33/42.65 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.33/42.65 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.33/42.65 | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.33/42.65 | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.33/42.65 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.33/42.65 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.33/42.65 | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.33/42.65 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.33/42.65 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.33/42.65 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.33/42.65 | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.33/42.65 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.33/42.65 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.33/42.65 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.33/42.65 | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.33/42.65 | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.33/42.65 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.33/42.65 | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | BETA: splitting (7442) gives:
% 246.33/42.65 | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.65 | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | (7443) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.33/42.65 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.33/42.65 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 246.33/42.65 | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 246.33/42.65 | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | ALPHA: (7443) implies:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | (7444) op(e2, e2) = e0
% 246.33/42.65 | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7422), (7444), (function-axioms) are
% 246.33/42.65 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1795.
% 246.33/42.65 | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.65 | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | (7445) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.33/42.65 | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 246.33/42.65 | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.33/42.65 | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 246.33/42.65 | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.33/42.65 | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.33/42.65 | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 246.33/42.65 | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 246.33/42.65 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 246.33/42.65 | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 246.33/42.65 | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 246.33/42.65 | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 246.33/42.65 | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.33/42.65 | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 246.33/42.65 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 246.33/42.65 | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 246.33/42.65 | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 246.33/42.65 | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 246.33/42.65 | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 246.33/42.65 | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 246.33/42.65 | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | ALPHA: (7445) implies:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | (7446) op(e0, e0) = all_57_31
% 246.33/42.65 | | | | | | | | | | | | | | | | | | (7447) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.33/42.65 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.33/42.65 | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.33/42.65 | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 246.33/42.65 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.33/42.65 | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.33/42.65 | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 246.33/42.65 | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.33/42.65 | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.33/42.65 | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.33/42.65 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.33/42.65 | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.33/42.65 | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 246.33/42.65 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.33/42.65 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.33/42.65 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 246.33/42.65 | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.33/42.65 | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 246.33/42.65 | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 246.33/42.65 | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 246.33/42.65 | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | (7448) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 246.33/42.65 | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | BETA: splitting (7448) gives:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | (7449) all_56_2 = e1 & op(e2, e3) = e1
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (165),
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | (170), (221), (223), (224), (226), (6856), (7416),
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | (7417), (7418), (7422), (7449), (function-axioms)
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #628.
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | (7450) all_56_3 = e1 & op(e2, e2) = e1
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | ALPHA: (7450) implies:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | (7451) all_56_3 = e1
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (51), (7446)
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | gives:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | (7452) all_57_31 = all_14_2
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | (7453) ~ (all_28_2 = e2)
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | REDUCE: (330), (7453) imply:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | (7454) ~ (all_14_2 = e2)
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | (7455) all_54_15 = e3
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (5816), (7455) are inconsistent by
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1489.
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | (7456) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (157), (158), (159), (246), (351),
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | (362), (369), (5813), (5814), (6863), (7422),
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | (7447), (7454), (7456), (function-axioms) are
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #627.
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | (7457) all_28_2 = e2
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (7457) imply:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | (7458) all_14_2 = e2
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | SIMP: (7458) implies:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | (7459) all_14_2 = e2
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7452), (7459) imply:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | (7460) all_57_31 = e2
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (7459) imply:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | (7461) ~ (all_52_13 = e2)
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5816), (7459) imply:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | (7462) ~ (e3 = e2)
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (7459) imply:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | (7463) op(e0, e0) = e2
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | (7464) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (5804), (7451), (7464),
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | #1122.
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | (7465) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7465) gives:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | (7466) all_56_5 = e2 & op(e2, e1) = e2
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7466) implies:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | (7467) op(e2, e1) = e2
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | (7468) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7468) gives:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | (7469) all_56_6 = e2 & op(e1, e3) = e2
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7469) implies:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | (7470) all_56_6 = e2
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (7471) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7471) gives:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7472) all_56_0 = e1 & op(e3, e3) = e1
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7472) implies:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7473) op(e3, e3) = e1
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5813), (7473), (function-axioms) are
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7474) all_56_2 = e1 & op(e2, e3) = e1
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (165),
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (221), (223), (224), (226), (6856), (7416),
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7417), (7418), (7422), (7474), (function-axioms)
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #628.
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (7475) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7475) gives:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7476) all_56_6 = e1 & op(e1, e3) = e1
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7470), (7476) are inconsistent by sub-proof
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1452.
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7477) all_56_12 = e1 & op(e0, e3) = e1
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7477) implies:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7478) all_56_12 = e1
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7479) op(e0, e3) = e1
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7480) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7480) gives:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7481) all_56_0 = e3 & op(e3, e3) = e3
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7481) implies:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7482) op(e3, e3) = e3
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5813), (7482), (function-axioms) are
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7483) all_56_2 = e3 & op(e2, e3) = e3
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7483) implies:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7484) all_56_2 = e3
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7485) op(e2, e3) = e3
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7486) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7486) gives:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7487) all_56_1 = e2 & op(e3, e2) = e2
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7487) implies:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7488) all_56_1 = e2
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7489) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (7422), (7488), (7489),
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #626.
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7490) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7490) gives:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7491) all_56_7 = e3 & op(e1, e2) = e3
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7491) implies:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7492) all_56_7 = e3
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (6863), (7417), (7492), (function-axioms)
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1757.
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7493) all_56_13 = e3 & op(e0, e2) = e3
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7493) implies:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7494) all_56_13 = e3
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7495) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7495) gives:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7496) all_56_0 = e3 & op(e3, e3) = e3
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7496) implies:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7497) op(e3, e3) = e3
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5813), (7497), (function-axioms) are
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7498) all_56_1 = e3 & op(e3, e2) = e3
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7498) implies:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7499) all_56_1 = e3
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7500) op(e3, e2) = e3
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7488), (7499) imply:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7501) e3 = e2
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7501) implies:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7502) e3 = e2
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7494), (7502) imply:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7503) all_56_13 = e2
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (67), (97),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (100), (110), (125), (133), (134), (139), (145),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (164), (165),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (197), (209), (210),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (213), (214), (215), (220), (221),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (225), (228), (229), (230), (235), (236),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (260), (318), (352), (354), (360),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5801), (5803), (5804), (5807), (5812), (5813),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6849), (6855), (6856), (6857), (6863), (7412),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7415), (7417), (7420), (7422), (7446), (7451),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7461), (7470), (7478), (7479), (7484), (7485),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7499), (7500), (7503), (function-axioms) are
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #621.
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7504) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7504) gives:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7505) all_56_4 = e3 & op(e3, e1) = e3
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7505) implies:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7506) op(e3, e1) = e3
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (6855), (7506), (function-axioms) are
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1599.
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7507) all_56_9 = e3 & op(e3, e0) = e3
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7507) implies:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7508) all_56_9 = e3
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7509) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (5813), (7416), (7509),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #776.
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7510) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7510) gives:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7511) all_56_4 = e1 & op(e3, e1) = e1
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7511) implies:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7512) all_56_4 = e1
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (230), (5813), (7488), (7508),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7512), (function-axioms) are inconsistent by
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #648.
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7513) all_56_9 = e1 & op(e3, e0) = e1
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7513) implies:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7514) all_56_9 = e1
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7508), (7514) imply:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7515) e3 = e1
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7484), (7515) imply:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7516) all_56_2 = e1
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (229), (235), (5812),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5813), (7478), (7479), (7516), (function-axioms)
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #778.
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7517) all_56_3 = e2 & op(e2, e2) = e2
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7451), (7517) are inconsistent by sub-proof
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1295.
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7518) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7518) gives:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7519) all_56_7 = e2 & op(e1, e2) = e2
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (51), (97), (146), (157),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (162), (163), (165), (167), (170),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (209), (213), (214), (215), (216),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (226), (231), (233), (239),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5806), (5816), (6856), (6857), (6863), (7412),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7415), (7416), (7417), (7418), (7419), (7422),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7447), (7460), (7463), (7467), (7519),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #617.
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7520) all_56_13 = e2 & op(e0, e2) = e2
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7520) implies:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7521) all_56_13 = e2
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7522) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7522) gives:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7523) all_56_1 = e3 & op(e3, e2) = e3
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7523) implies:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7524) all_56_1 = e3
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7525) op(e3, e2) = e3
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (67), (97),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (100), (110), (125), (133), (134), (139), (145),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (164), (165),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (197), (209), (210),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (213), (214), (215), (220), (221),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (225), (228), (229), (230), (235), (236),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (260), (318), (352), (354), (360),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5801), (5803), (5804), (5807), (5812), (5813),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6849), (6855), (6856), (6857), (6863), (7412),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7415), (7417), (7420), (7422), (7446), (7451),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7461), (7470), (7478), (7479), (7484), (7485),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7521), (7524), (7525), (function-axioms) are
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #621.
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7526) all_56_3 = e3 & op(e2, e2) = e3
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7526) implies:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7527) op(e2, e2) = e3
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7422), (7527), (function-axioms) are
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7528) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7528) gives:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7529) all_56_7 = e3 & op(e1, e2) = e3
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7529) implies:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7530) all_56_7 = e3
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (6863), (7417), (7530), (function-axioms)
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1757.
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7531) all_56_13 = e3 & op(e0, e2) = e3
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7531) implies:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7532) all_56_13 = e3
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7521), (7532) are inconsistent by sub-proof
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1266.
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7533) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7533) gives:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7534) all_56_6 = e3 & op(e1, e3) = e3
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (6853), (7534), (function-axioms) are
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1626.
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7535) all_56_12 = e3 & op(e0, e3) = e3
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7478), (7535) are inconsistent by sub-proof
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #616.
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | (7536) all_56_7 = e2 & op(e1, e2) = e2
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (51), (97), (146), (157),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (162), (163), (165), (167), (170),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (209), (213), (214), (215), (216),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (226), (231), (233), (239),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | (5806), (5816), (6856), (6857), (6863), (7412),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | (7415), (7416), (7417), (7418), (7419), (7422),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | (7447), (7460), (7463), (7467), (7536),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | #617.
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | (7537) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (164), (165),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | (169), (206), (210), (212), (213), (214), (215),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | (220), (6855), (6856), (6857), (6863), (7420),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | (7463), (7537), (function-axioms) are inconsistent
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #615.
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | (7538) all_56_10 = e2 & op(e2, e0) = e2
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7538) implies:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | (7539) op(e2, e0) = e2
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7461), (7539), (function-axioms) are
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1493.
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | (7540) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 246.33/42.66 | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (7419), (7420), (7540),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | #755.
% 246.33/42.66 | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | Case 2:
% 246.33/42.66 | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | (7541) all_56_14 = e3 & op(e0, e1) = e3
% 246.33/42.66 | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | ALPHA: (7541) implies:
% 246.33/42.66 | | | | | | | | | | | | (7542) op(e0, e1) = e3
% 246.33/42.66 | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | REF_CLOSE: (157), (6857), (7542), (function-axioms) are
% 246.33/42.66 | | | | | | | | | | | | inconsistent by sub-proof #1371.
% 246.33/42.66 | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | |
% 246.33/42.66 | | | | | | | | Case 2:
% 246.33/42.66 | | | | | | | | |
% 246.33/42.66 | | | | | | | | | (7543) all_18_2 = e3
% 246.33/42.66 | | | | | | | | |
% 246.33/42.66 | | | | | | | | | COMBINE_EQS: (301), (7543) imply:
% 246.33/42.66 | | | | | | | | | (7544) all_14_2 = e3
% 246.33/42.66 | | | | | | | | |
% 246.33/42.66 | | | | | | | | | REDUCE: (351), (7544) imply:
% 246.33/42.66 | | | | | | | | | (7545) ~ (all_52_3 = e3)
% 246.33/42.66 | | | | | | | | |
% 246.33/42.66 | | | | | | | | | REDUCE: (362), (7544) imply:
% 246.33/42.66 | | | | | | | | | (7546) ~ (all_52_7 = e3)
% 246.33/42.66 | | | | | | | | |
% 246.33/42.66 | | | | | | | | | REDUCE: (369), (7544) imply:
% 246.33/42.66 | | | | | | | | | (7547) ~ (all_52_11 = e3)
% 246.33/42.66 | | | | | | | | |
% 246.33/42.66 | | | | | | | | | REDUCE: (370), (7544) imply:
% 246.33/42.66 | | | | | | | | | (7548) ~ (all_52_12 = e3)
% 246.33/42.66 | | | | | | | | |
% 246.33/42.66 | | | | | | | | | REDUCE: (371), (7544) imply:
% 246.33/42.66 | | | | | | | | | (7549) ~ (all_52_13 = e3)
% 246.33/42.66 | | | | | | | | |
% 246.33/42.66 | | | | | | | | | REDUCE: (372), (7544) imply:
% 246.33/42.66 | | | | | | | | | (7550) ~ (all_52_14 = e3)
% 246.33/42.66 | | | | | | | | |
% 246.33/42.66 | | | | | | | | | BETA: splitting (212) gives:
% 246.33/42.66 | | | | | | | | |
% 246.33/42.66 | | | | | | | | | Case 1:
% 246.33/42.66 | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | (7551) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 246.33/42.66 | | | | | | | | | | e3 & op(e2, e0) = e3)
% 246.33/42.66 | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | REF_CLOSE: (164), (168), (7548), (7549), (7551),
% 246.33/42.66 | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.66 | | | | | | | | | | #1085.
% 246.33/42.66 | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | Case 2:
% 246.33/42.66 | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | (7552) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 246.33/42.66 | | | | | | | | | | e3 & op(e0, e0) = e3)
% 246.33/42.66 | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | BETA: splitting (7552) gives:
% 246.33/42.66 | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | Case 1:
% 246.33/42.66 | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | (7553) all_56_11 = e3 & op(e1, e0) = e3
% 246.33/42.66 | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | ALPHA: (7553) implies:
% 246.33/42.66 | | | | | | | | | | | (7554) op(e1, e0) = e3
% 246.33/42.66 | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | REF_CLOSE: (160), (7550), (7554), (function-axioms) are
% 246.33/42.66 | | | | | | | | | | | inconsistent by sub-proof #1084.
% 246.33/42.66 | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | Case 2:
% 246.33/42.66 | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | (7555) all_56_15 = e3 & op(e0, e0) = e3
% 246.33/42.66 | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | ALPHA: (7555) implies:
% 246.33/42.66 | | | | | | | | | | | (7556) all_56_15 = e3
% 246.33/42.66 | | | | | | | | | | | (7557) op(e0, e0) = e3
% 246.33/42.66 | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | BETA: splitting (61) gives:
% 246.33/42.66 | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | Case 1:
% 246.33/42.66 | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | (7558) ~ (all_20_2 = e3)
% 246.33/42.66 | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | REDUCE: (325), (7558) imply:
% 246.33/42.66 | | | | | | | | | | | | (7559) ~ (all_10_2 = e3)
% 246.33/42.66 | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | BETA: splitting (64) gives:
% 246.33/42.66 | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | Case 1:
% 246.33/42.66 | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | (7560) ~ (all_22_2 = e0)
% 246.33/42.66 | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | REDUCE: (251), (7560) imply:
% 246.33/42.66 | | | | | | | | | | | | | (7561) ~ (all_10_2 = e0)
% 246.33/42.66 | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | BETA: splitting (194) gives:
% 246.33/42.66 | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | Case 1:
% 246.33/42.66 | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | (7562) all_54_10 = e3
% 246.33/42.66 | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | REF_CLOSE: (336), (7559), (7562) are inconsistent by
% 246.33/42.66 | | | | | | | | | | | | | | sub-proof #906.
% 246.33/42.66 | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | Case 2:
% 246.33/42.66 | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | (7563) ~ (all_54_10 = e3)
% 246.33/42.66 | | | | | | | | | | | | | | (7564) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 246.33/42.66 | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | BETA: splitting (7564) gives:
% 246.33/42.66 | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | Case 1:
% 246.33/42.66 | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | (7565) all_54_10 = e2
% 246.33/42.66 | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | REF_CLOSE: (336), (375), (7565) are inconsistent by sub-proof
% 246.33/42.66 | | | | | | | | | | | | | | | #905.
% 246.33/42.66 | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | Case 2:
% 246.33/42.66 | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | (7566) ~ (all_54_10 = e2)
% 246.33/42.66 | | | | | | | | | | | | | | | (7567) all_54_10 = e1 | all_54_10 = e0
% 246.33/42.66 | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | BETA: splitting (7567) gives:
% 246.33/42.66 | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | Case 1:
% 246.33/42.66 | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | (7568) all_54_10 = e1
% 246.33/42.66 | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (7568) imply:
% 246.33/42.66 | | | | | | | | | | | | | | | | (7569) all_10_2 = e1
% 246.33/42.66 | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | SIMP: (7569) implies:
% 246.33/42.66 | | | | | | | | | | | | | | | | (7570) all_10_2 = e1
% 246.33/42.66 | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | REDUCE: (350), (7570) imply:
% 246.33/42.66 | | | | | | | | | | | | | | | | (7571) ~ (all_52_2 = e1)
% 246.33/42.66 | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | REDUCE: (361), (7570) imply:
% 246.33/42.66 | | | | | | | | | | | | | | | | (7572) ~ (all_52_6 = e1)
% 246.33/42.66 | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | REDUCE: (363), (7570) imply:
% 246.33/42.66 | | | | | | | | | | | | | | | | (7573) ~ (all_52_8 = e1)
% 246.33/42.66 | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | REDUCE: (366), (7570) imply:
% 246.33/42.66 | | | | | | | | | | | | | | | | (7574) ~ (all_52_11 = e1)
% 246.33/42.66 | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | REDUCE: (368), (7570) imply:
% 246.33/42.66 | | | | | | | | | | | | | | | | (7575) ~ (all_52_14 = e1)
% 246.33/42.66 | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | REDUCE: (7559), (7570) imply:
% 246.33/42.66 | | | | | | | | | | | | | | | | (7576) ~ (e3 = e1)
% 246.33/42.66 | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | REDUCE: (375), (7570) imply:
% 246.33/42.66 | | | | | | | | | | | | | | | | (7577) ~ (e2 = e1)
% 246.33/42.66 | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | REDUCE: (45), (7570) imply:
% 246.33/42.66 | | | | | | | | | | | | | | | | (7578) op(e1, e1) = e1
% 246.33/42.66 | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 246.33/42.66 | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.66 | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | (7579) ~ (all_24_2 = e1)
% 246.33/42.66 | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | REDUCE: (318), (7579) imply:
% 246.33/42.66 | | | | | | | | | | | | | | | | | (7580) ~ (all_4_2 = e1)
% 246.33/42.66 | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (36), (160), (162),
% 246.33/42.66 | | | | | | | | | | | | | | | | | (163), (167), (168), (169), (170), (236), (238),
% 246.33/42.66 | | | | | | | | | | | | | | | | | (239), (373), (5804), (5813), (7548), (7557),
% 246.33/42.66 | | | | | | | | | | | | | | | | | (7571), (7572), (7575), (7578), (7580),
% 246.33/42.66 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.33/42.66 | | | | | | | | | | | | | | | | | #612.
% 246.33/42.66 | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.66 | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | (7581) all_24_2 = e1
% 246.33/42.66 | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | COMBINE_EQS: (318), (7581) imply:
% 246.33/42.66 | | | | | | | | | | | | | | | | | (7582) all_4_2 = e1
% 246.33/42.66 | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | SIMP: (7582) implies:
% 246.33/42.66 | | | | | | | | | | | | | | | | | (7583) all_4_2 = e1
% 246.33/42.66 | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | REDUCE: (349), (7583) imply:
% 246.33/42.66 | | | | | | | | | | | | | | | | | (7584) ~ (all_52_1 = e1)
% 246.33/42.66 | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | REDUCE: (356), (7583) imply:
% 246.33/42.66 | | | | | | | | | | | | | | | | | (7585) ~ (all_52_7 = e1)
% 246.33/42.66 | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | REDUCE: (358), (7583) imply:
% 246.33/42.66 | | | | | | | | | | | | | | | | | (7586) ~ (all_52_9 = e1)
% 246.33/42.66 | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | REDUCE: (360), (7583) imply:
% 246.33/42.66 | | | | | | | | | | | | | | | | | (7587) ~ (all_52_13 = e1)
% 246.33/42.66 | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 246.33/42.66 | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.66 | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | (7588) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 246.33/42.66 | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 246.33/42.66 | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | BETA: splitting (7588) gives:
% 246.33/42.66 | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | (7589) all_56_0 = e1 & op(e3, e3) = e1
% 246.33/42.66 | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | ALPHA: (7589) implies:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | (7590) op(e3, e3) = e1
% 246.33/42.66 | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5813), (7590), (function-axioms) are
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 246.33/42.66 | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | (7591) all_56_2 = e1 & op(e2, e3) = e1
% 246.33/42.66 | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | ALPHA: (7591) implies:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | (7592) all_56_2 = e1
% 246.33/42.66 | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (157), (158), (207),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | (229), (235), (5812), (5813), (7557), (7574),
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | (7585), (7592), (function-axioms) are inconsistent
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | by sub-proof #611.
% 246.33/42.66 | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | End of split
% 246.33/42.66 | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | Case 2:
% 246.33/42.66 | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | (7593) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 246.33/42.66 | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 246.33/42.66 | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | BETA: splitting (7593) gives:
% 246.33/42.66 | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | Case 1:
% 246.33/42.66 | | | | | | | | | | | | | | | | | | |
% 246.33/42.66 | | | | | | | | | | | | | | | | | | | (7594) all_56_6 = e1 & op(e1, e3) = e1
% 246.61/42.66 | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | ALPHA: (7594) implies:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | (7595) op(e1, e3) = e1
% 246.61/42.66 | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7571), (7595), (function-axioms) are
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1069.
% 246.61/42.66 | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | Case 2:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | (7596) all_56_12 = e1 & op(e0, e3) = e1
% 246.61/42.66 | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | ALPHA: (7596) implies:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | (7597) all_56_12 = e1
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | (7598) op(e0, e3) = e1
% 246.61/42.66 | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | (7599) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7599) gives:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | (7600) all_56_9 = e1 & op(e3, e0) = e1
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7600) implies:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | (7601) all_56_9 = e1
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | (7602) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7602) gives:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | (7603) all_56_2 = e1 & op(e2, e3) = e1
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7603) implies:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | (7604) all_56_2 = e1
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (229), (235), (5812),
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | (5813), (7597), (7598), (7604), (function-axioms)
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #778.
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | (7605) all_56_3 = e1 & op(e2, e2) = e1
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7605) implies:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | (7606) all_56_3 = e1
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | (7607) op(e2, e2) = e1
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | (7608) all_54_8 = e3
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (7608) imply:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | (7609) all_52_2 = e3
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7609) implies:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | (7610) all_52_2 = e3
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (7610) imply:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | (7611) ~ (all_52_1 = e3)
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (7610) imply:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | (7612) ~ (all_52_6 = e3)
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7612) implies:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | (7613) ~ (all_52_6 = e3)
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | (7614) all_54_4 = e3
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (7611), (7614) are inconsistent by
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1696.
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | (7615) ~ (all_54_4 = e3)
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | (7616) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7616) gives:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (7617) all_54_4 = e2
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (5804), (7617) are inconsistent by
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1695.
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (7618) ~ (all_54_4 = e2)
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (7619) all_54_4 = e1 | all_54_4 = e0
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7620) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7620) gives:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7621) all_56_2 = e3 & op(e2, e3) = e3
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7621) implies:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7622) all_56_2 = e3
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7623) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (7607), (7622), (7623),
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1296.
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7624) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7624) gives:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7625) all_56_5 = e0 & op(e2, e1) = e0
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7625) implies:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7626) all_56_5 = e0
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7627) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7627) gives:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7628) all_56_1 = e3 & op(e3, e2) = e3
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7628) implies:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7629) all_56_1 = e3
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (218), (219),
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (230), (5812), (7547), (7601), (7626),
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7629), (function-axioms) are inconsistent by
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #609.
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7630) all_56_3 = e3 & op(e2, e2) = e3
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7630) implies:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7631) op(e2, e2) = e3
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7607), (7631), (function-axioms) are
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7632) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (206), (208),
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7556), (7597), (7598), (7613), (7632),
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #608.
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7633) all_56_10 = e0 & op(e2, e0) = e0
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7633) implies:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7634) all_56_10 = e0
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7635) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7635) gives:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7636) all_56_1 = e3 & op(e3, e2) = e3
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7636) implies:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7637) all_56_1 = e3
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (167), (218),
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (223), (230), (5804), (5812),
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7547), (7578), (7601), (7606), (7634), (7637),
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #606.
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7638) all_56_3 = e3 & op(e2, e2) = e3
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7638) implies:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7639) op(e2, e2) = e3
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7607), (7639), (function-axioms) are
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7640) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (206), (208),
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7556), (7597), (7598), (7613), (7640),
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #608.
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7641) all_56_3 = e3 & op(e2, e2) = e3
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7641) implies:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7642) op(e2, e2) = e3
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7607), (7642), (function-axioms) are
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7643) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7643) gives:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7644) all_56_5 = e3 & op(e2, e1) = e3
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7644) implies:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7645) all_56_5 = e3
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7646) op(e2, e1) = e3
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7619) gives:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7647) all_54_4 = e1
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (7584), (7647) are inconsistent by
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1694.
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7648) all_54_4 = e0
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (7648) imply:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7649) all_52_1 = e0
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7649) implies:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7650) all_52_1 = e0
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (7650) imply:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7651) ~ (all_52_9 = e0)
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7651) implies:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7652) ~ (all_52_9 = e0)
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (7650) imply:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7653) ~ (all_52_13 = e0)
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7653) implies:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7654) ~ (all_52_13 = e0)
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7611), (7650) imply:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7655) ~ (e3 = e0)
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5804), (7650) imply:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7656) ~ (e2 = e0)
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7584), (7650) imply:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7657) ~ (e1 = e0)
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7658) all_54_7 = e3
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (7549), (7658) are inconsistent by
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1420.
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7659) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7660) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7660) gives:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7661) all_56_1 = e3 & op(e3, e2) = e3
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7661) implies:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7662) all_56_1 = e3
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7663) op(e3, e2) = e3
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7664) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (5804), (7606), (7664),
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #770.
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7665) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7665) gives:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7666) all_56_5 = e2 & op(e2, e1) = e2
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7666) implies:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7667) all_56_5 = e2
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (218), (219),
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (230), (5812), (7547), (7578), (7601),
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7662), (7667), (function-axioms) are inconsistent
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #607.
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7668) all_56_10 = e2 & op(e2, e0) = e2
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7668) implies:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7669) all_56_10 = e2
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7659) gives:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7670) all_54_7 = e2
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (7670) imply:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7671) all_52_13 = e2
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7671) implies:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7672) all_52_13 = e2
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (7672) imply:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7673) ~ (all_52_9 = e2)
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7674) all_54_6 = e3
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (7674) imply:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7675) all_52_9 = e3
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7675) implies:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7676) all_52_9 = e3
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (7676) imply:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7677) ~ (all_52_8 = e3)
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (7676) imply:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7678) ~ (all_52_11 = e3)
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7679) all_54_2 = e3
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (7677), (7679) are inconsistent by
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1617.
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7680) ~ (all_54_2 = e3)
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7681) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7682) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7682) gives:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7683) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7683) gives:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7684) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5804), (7684), (function-axioms) are
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1721.
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7685) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (7571), (7607), (7685),
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1012.
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7686) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7686) gives:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7687) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7557), (7578), (7687),
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1062.
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7688) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (162), (169), (7557), (7572), (7677), (7688),
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1010.
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7689) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.61/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7689) gives:
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7690) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7690) gives:
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7691) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (5813), (7557), (7691),
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #687.
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7692) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (7548), (7557), (7692),
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1066.
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7693) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7693) gives:
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7694) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7694) gives:
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7695) all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28 &
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_25) & $i(all_57_28)
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7695) implies:
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7696) op(e3, e3) = e0
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (121), (125), (157), (167), (190), (191),
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (223), (230), (247), (248),
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271), (5804), (5808), (5812), (5813), (7546),
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7547), (7573), (7574), (7578), (7585), (7601),
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7606), (7662), (7669), (7681), (7696),
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #604.
% 246.63/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7697) all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_25) & $i(all_57_30)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7697) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7698) op(e3, e3) = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (121), (125), (157), (167), (190), (191),
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (223), (230), (247), (248),
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271), (5804), (5808), (5812), (5813), (7546),
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7547), (7573), (7574), (7578), (7585), (7601),
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7606), (7662), (7669), (7681), (7698),
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #604.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7699) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7699) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7700) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7700) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7701) op(e1, e1) = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7578), (7701), (function-axioms) are
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1857.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7702) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7702) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7703) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7703) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7704) op(e1, e0) = e1
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (7575), (7704), (function-axioms) are
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1856.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7705) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7705) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7706) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7706) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7707) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (217), (218),
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (7574), (7607), (7645), (7663), (7707),
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #603.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7708) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7708) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7709) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7709) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7710) op(e1, e1) = e2
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7578), (7710), (function-axioms) are
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7711) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7711) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7712) all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7712) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7713) op(e3, e3) = e1
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5813), (7713), (function-axioms) are
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7714) all_57_24 = e0 & all_57_28 = e1 & ~ (all_57_23 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e1) & op(e2, e2) = e1 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & op(e0, e1) = e0 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7714) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7715) op(e0, e1) = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (157), (271), (5808), (7573), (7681),
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7715), (function-axioms) are inconsistent by
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #602.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7716) ~ (all_54_6 = e3)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (261), (7716) imply:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7717) ~ (all_52_9 = e3)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7646), (7717), (function-axioms) are
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1405.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7718) all_54_7 = e1 | all_54_7 = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (7587), (7654), (7718) are inconsistent by
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #705.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7719) all_56_3 = e3 & op(e2, e2) = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7719) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7720) op(e2, e2) = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7607), (7720), (function-axioms) are
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7721) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (206), (208),
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7556), (7597), (7598), (7613), (7721),
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #608.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7722) all_56_10 = e3 & op(e2, e0) = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7722) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7723) op(e2, e0) = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7549), (7723), (function-axioms) are
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1086.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | (7724) ~ (all_54_8 = e3)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | (7725) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (259), (7724) imply:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | (7726) ~ (all_52_2 = e3)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | (7727) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7727) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (7728) all_56_0 = e3 & op(e3, e3) = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7728) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (7729) op(e3, e3) = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5813), (7729), (function-axioms) are
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (7730) all_56_2 = e3 & op(e2, e3) = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7730) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (7731) all_56_2 = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7732) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7732) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7733) all_56_0 = e0 & op(e3, e3) = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5812), (7733) are inconsistent by sub-proof
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #780.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7734) all_56_2 = e0 & op(e2, e3) = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7731), (7734) are inconsistent by sub-proof
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1442.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7735) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7735) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7736) all_56_6 = e0 & op(e1, e3) = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7736) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7737) all_56_6 = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7738) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7738) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7739) all_56_6 = e3 & op(e1, e3) = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7726), (7739), (function-axioms) are
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1626.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7740) all_56_7 = e3 & op(e1, e2) = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7740) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7741) all_56_7 = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7742) op(e1, e2) = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7743) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (7737), (7741), (7743) are inconsistent
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1051.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7744) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7744) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7745) all_56_8 = e2 & op(e1, e1) = e2
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7745) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7746) op(e1, e1) = e2
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7578), (7746), (function-axioms) are
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7747) all_56_11 = e2 & op(e1, e0) = e2
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7747) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7748) all_56_11 = e2
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7749) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7749) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7750) all_56_1 = e2 & op(e3, e2) = e2
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7750) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7751) all_56_1 = e2
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7752) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7752) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7753) all_56_0 = e0 & op(e3, e3) = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5812), (7753) are inconsistent by sub-proof
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #780.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7754) all_56_1 = e0 & op(e3, e2) = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7751), (7754) are inconsistent by sub-proof
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #701.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7755) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7755) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7756) all_56_4 = e0 & op(e3, e1) = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7756) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7757) all_56_4 = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7758) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7758) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7759) all_56_4 = e3 & op(e3, e1) = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7757), (7759) are inconsistent by sub-proof
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1527.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7760) all_56_5 = e3 & op(e2, e1) = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7760) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7761) all_56_5 = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7762) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7762) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7763) all_56_4 = e2 & op(e3, e1) = e2
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7757), (7763) are inconsistent by sub-proof
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1525.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7764) all_56_5 = e2 & op(e2, e1) = e2
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7761), (7764) are inconsistent by sub-proof
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1573.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7765) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7765) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7766) all_56_8 = e2 & op(e1, e1) = e2
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7766) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7767) op(e1, e1) = e2
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7578), (7767), (function-axioms) are
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7768) all_56_14 = e2 & op(e0, e1) = e2
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7768) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7769) all_56_14 = e2
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7770) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5813), (7751), (7770), (function-axioms) are
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #625.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7771) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7771) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7772) all_56_4 = e3 & op(e3, e1) = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7772) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7773) all_56_4 = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (217), (7578), (7761), (7769),
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7773), (function-axioms) are inconsistent by
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1571.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7774) all_56_9 = e3 & op(e3, e0) = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7774) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7775) op(e3, e0) = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (7548), (7775), (function-axioms) are
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1862.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7776) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (162), (213),
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (7547), (7572), (7741), (7776),
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1072.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7777) all_56_9 = e0 & op(e3, e0) = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7601), (7777) are inconsistent by sub-proof
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1668.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7778) all_56_3 = e2 & op(e2, e2) = e2
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7606), (7778) are inconsistent by sub-proof
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1123.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7779) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7779) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7780) all_56_7 = e2 & op(e1, e2) = e2
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7741), (7780) are inconsistent by sub-proof
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1769.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7781) all_56_13 = e2 & op(e0, e2) = e2
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7781) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7782) all_56_13 = e2
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7783) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7783) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7784) all_56_1 = e0 & op(e3, e2) = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7784) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7785) all_56_1 = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7786) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (5813), (7785), (7786),
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #754.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7787) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7787) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7788) all_56_4 = e3 & op(e3, e1) = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7788) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7789) op(e3, e1) = e3
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7790) all_56_15 = e0 & op(e0, e0) = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7790) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7791) all_56_15 = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7556), (7791) are inconsistent by sub-proof
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1071.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7792) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7792) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7793) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7794) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7793) gives:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7795) all_56_12 = e0 & op(e0, e3) = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7795) implies:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7796) op(e0, e3) = e0
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7598), (7796), (function-axioms) are
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1636.
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7797) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7797) gives:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7798) all_56_13 = e0 & op(e0, e2) = e0
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7798) implies:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7799) all_56_13 = e0
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7782), (7799) are inconsistent by sub-proof
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1165.
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7800) all_56_14 = e0 & op(e0, e1) = e0
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7800) implies:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7801) all_56_14 = e0
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7802) op(e0, e1) = e0
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7725) gives:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7803) all_54_8 = e2
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (5805), (7803) are inconsistent by
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1032.
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7804) ~ (all_54_8 = e2)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7805) all_54_8 = e1 | all_54_8 = e0
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7805) gives:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7806) all_54_8 = e1
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (7571), (7806) are inconsistent by
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1031.
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7807) all_54_8 = e0
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (7807) imply:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7808) all_52_2 = e0
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7808) implies:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7809) all_52_2 = e0
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (7809) imply:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7810) ~ (all_52_6 = e0)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7810) implies:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7811) ~ (all_52_6 = e0)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (7809) imply:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7812) ~ (all_52_14 = e0)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7812) implies:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7813) ~ (all_52_14 = e0)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5805), (7809) imply:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7814) ~ (e2 = e0)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7571), (7809) imply:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7815) ~ (e1 = e0)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7816) all_54_11 = e3
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (7550), (7816) are inconsistent by
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1184.
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7817) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7818) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7818) gives:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7819) all_56_4 = e2 & op(e3, e1) = e2
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7819) implies:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7820) op(e3, e1) = e2
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (169), (7789), (7820), (function-axioms) are
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1722.
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7821) all_56_5 = e2 & op(e2, e1) = e2
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7821) implies:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7822) op(e2, e1) = e2
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7794) gives:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7823) all_56_9 = e0 & op(e3, e0) = e0
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7601), (7823) are inconsistent by sub-proof
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1668.
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7824) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7824) gives:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7825) all_56_10 = e0 & op(e2, e0) = e0
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7825) implies:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7826) all_56_10 = e0
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7817) gives:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7827) all_54_11 = e2
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (7827) imply:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7828) all_52_14 = e2
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (7828) imply:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7829) ~ (all_52_6 = e2)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (7828) imply:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7830) ~ (all_52_13 = e2)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (7828) imply:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7831) op(e1, e0) = e2
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7832) all_54_9 = e3
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (7832) imply:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7833) all_52_6 = e3
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7833) implies:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7834) all_52_6 = e3
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (7834) imply:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7835) ~ (all_52_4 = e3)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7836) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7836) gives:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7837) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16))) & ((all_57_30 = e3 & op(e1,
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e3) | ( ~ (all_57_17 = e1) & op(e1,
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_17 & $i(all_57_17))) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7837) implies:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7838) op(e3, all_57_26) = e3
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7839) (all_57_30 = e3 & op(e1, e1) = e3) | ( ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & op(e1, e3) = all_57_17 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17))
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7840) (all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16))
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7841) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7841) gives:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7842) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7842) gives:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7843) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (373), (7607), (7840), (7843),
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #601.
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7844) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7844) gives:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7845) all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7845) implies:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7846) op(e2, e2) = e3
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7607), (7846), (function-axioms) are
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7847) all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_30)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7578), (7839), (7847), (function-axioms) are
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1049.
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7848) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (162), (170), (7557), (7572), (7822), (7835),
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7848), (function-axioms) are inconsistent by
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1046.
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7849) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7849) gives:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7850) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7850) gives:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7851) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7851) gives:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7852) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7852) implies:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7853) op(e0, e0) = e1
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (168), (212), (7548), (7748),
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7826), (7853), (function-axioms) are inconsistent
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #956.
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7854) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7854) implies:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7855) ~ (all_57_22 = e3)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7856) op(e3, e1) = all_57_22
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7789), (7855), (7856), (function-axioms)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1059.
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7857) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (168), (212), (7548), (7748),
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7826), (7857), (function-axioms) are inconsistent
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #955.
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7858) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7858) gives:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7859) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (164), (7830), (7831), (7859),
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #600.
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7860) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7860) gives:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7861) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7861) implies:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7862) op(e2, e0) = e2
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7830), (7862), (function-axioms) are
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1493.
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7863) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7863) gives:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7864) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7864) implies:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7865) op(e1, e0) = e1
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7831), (7865), (function-axioms) are
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1741.
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7866) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7866) implies:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7867) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7867) gives:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7868) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7868) gives:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7869) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7869) implies:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7870) op(e2, e2) = e3
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7607), (7870), (function-axioms) are
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7871) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7871) gives:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7872) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7872) implies:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7873) op(e1, e1) = e3
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (7572), (7741), (7873), (function-axioms)
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1757.
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7874) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7874) implies:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7875) all_57_26 = e2
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7876) ~ (all_57_19 = e3)
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7877) op(e3, e2) = all_57_19
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7838), (7875) imply:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7878) op(e3, e2) = e3
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7876), (7877), (7878), (function-axioms) are
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1792.
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7879) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (169), (7578), (7789), (7822), (7879),
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #599.
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7880) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e2 & op(e3, e3) = e2) | ( ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & op(e3, e2) = all_57_19 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19))) & ((all_57_30 = e2 & op(e1,
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_20 = e1) & op(e1,
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_20 & $i(all_57_20))) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7880) implies:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7881) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7882) (all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7883) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7883) gives:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7884) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7884) gives:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7885) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5804), (7885), (function-axioms) are
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1721.
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7886) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (7571), (7607), (7886),
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1012.
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7887) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7887) gives:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7888) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (7557), (7835), (7888),
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1048.
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7889) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7889) gives:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7890) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7890) implies:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7891) all_57_20 = e1
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7882) gives:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7892) all_57_30 = e2 & op(e1, e1) = e2
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7892) implies:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7893) op(e1, e1) = e2
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7578), (7893), (function-axioms) are
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7894) ~ (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7894) implies:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7895) ~ (all_57_20 = e1)
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7891), (7895) imply:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7896) $false
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7896) is inconsistent.
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7897) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7557), (7822), (7897), (function-axioms) are
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1047.
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7898) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7898) gives:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7899) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (9), (168), (212), (5813), (7548),
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7748), (7826), (7899), (function-axioms) are
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #598.
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7900) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7900) gives:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7901) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (164), (7830), (7831), (7901),
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #600.
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7902) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7902) gives:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7903) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7903) implies:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7904) op(e2, e0) = e2
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7830), (7904), (function-axioms) are
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1493.
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7905) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7905) gives:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7906) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7906) implies:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7907) op(e1, e0) = e1
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7831), (7907), (function-axioms) are
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1741.
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7908) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7908) implies:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7909) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7881) gives:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7910) all_57_31 = e2 & op(e0, e0) = e2
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7910) implies:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7911) op(e0, e0) = e2
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7557), (7911), (function-axioms) are
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1063.
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7912) ~ (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7912) implies:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7913) ~ (all_57_21 = e0)
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7914) op(e0, e2) = all_57_21
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7909) gives:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7915) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7915) gives:
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7916) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7916) implies:
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7917) op(e2, e2) = e3
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7607), (7917), (function-axioms) are
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7918) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7918) gives:
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7919) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7919) implies:
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7920) op(e1, e1) = e3
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (7572), (7741), (7920), (function-axioms)
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1757.
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7921) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7921) implies:
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7922) op(e0, e2) = e0
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7913), (7914), (7922), (function-axioms) are
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1495.
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7923) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.63/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5813), (7578), (7822), (7923),
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #784.
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7924) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7924) gives:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7925) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7925) implies:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7926) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24))
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7926) gives:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7927) all_57_31 = e1 & op(e0, e0) = e1
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7927) implies:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7928) op(e0, e0) = e1
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (168), (212), (7548), (7748),
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7826), (7928), (function-axioms) are inconsistent
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #956.
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7929) ~ (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7929) implies:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7930) ~ (all_57_24 = e0)
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7931) op(e0, e1) = all_57_24
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7802), (7930), (7931), (function-axioms) are
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1712.
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7932) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7932) implies:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7933) op(e0, all_57_21) = e2
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7934) (all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7935) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7935) gives:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7936) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7936) gives:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7937) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5804), (7937), (function-axioms) are
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1721.
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7938) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (7571), (7607), (7938),
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1012.
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7939) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (162), (170), (7557), (7572), (7822), (7835),
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7939), (function-axioms) are inconsistent by
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1046.
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7940) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7940) gives:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7941) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (9), (168), (212), (5813), (7548),
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7748), (7826), (7941), (function-axioms) are
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #598.
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7942) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7942) gives:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7943) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7943) gives:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7944) all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_25) & $i(all_57_28)
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7944) implies:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7945) all_57_27 = e2
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7946) ~ (all_57_28 = e0)
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7934), (7945), (7946) are inconsistent by
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1510.
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7947) all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_25) & $i(all_57_30)
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7947) implies:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7948) op(e1, e0) = e1
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7831), (7948), (function-axioms) are
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1741.
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7949) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7949) gives:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7950) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7950) implies:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7951) all_57_27 = e2
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7952) ~ (all_57_28 = e0)
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7934), (7951), (7952) are inconsistent by
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1510.
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7953) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7953) gives:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7954) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7954) implies:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7955) op(e1, e0) = e1
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7831), (7955), (function-axioms) are
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1741.
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7956) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7956) implies:
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7957) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.66/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7957) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7958) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7958) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7959) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7959) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7960) op(e2, e2) = e3
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7607), (7960), (function-axioms) are
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7961) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7961) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7962) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7962) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7963) op(e1, e1) = e3
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (7572), (7741), (7963), (function-axioms)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1757.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7964) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7964) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7965) all_57_21 = e0
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7933), (7965) imply:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7966) op(e0, e0) = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7557), (7966), (function-axioms) are
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1063.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7967) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5813), (7578), (7822), (7967),
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #784.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7968) ~ (all_54_9 = e3)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (258), (7968) imply:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7969) ~ (all_52_6 = e3)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (7742), (7969), (function-axioms) are
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1702.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7970) all_54_11 = e1 | all_54_11 = e0
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (7575), (7813), (7970) are inconsistent by
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #804.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7971) all_56_11 = e0 & op(e1, e0) = e0
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7748), (7971) are inconsistent by sub-proof
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1670.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7972) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7972) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7973) all_56_8 = e2 & op(e1, e1) = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7973) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7974) op(e1, e1) = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7578), (7974), (function-axioms) are
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7975) all_56_14 = e2 & op(e0, e1) = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7801), (7975) are inconsistent by sub-proof
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #979.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7976) all_56_9 = e3 & op(e3, e0) = e3
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7976) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7977) op(e3, e0) = e3
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (7548), (7977), (function-axioms) are
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1862.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7978) all_56_3 = e0 & op(e2, e2) = e0
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7978) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7979) op(e2, e2) = e0
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7607), (7979), (function-axioms) are
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1795.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7980) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7980) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7981) all_56_7 = e0 & op(e1, e2) = e0
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7741), (7981) are inconsistent by sub-proof
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1772.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7982) all_56_13 = e0 & op(e0, e2) = e0
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7782), (7982) are inconsistent by sub-proof
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #698.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7983) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7983) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7984) all_56_8 = e3 & op(e1, e1) = e3
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7984) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7985) op(e1, e1) = e3
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7578), (7985), (function-axioms) are
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1875.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7986) all_56_11 = e3 & op(e1, e0) = e3
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7986) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7987) all_56_11 = e3
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (206), (211), (7556),
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7557), (7601), (7987), (function-axioms) are
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1002.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7988) all_56_12 = e0 & op(e0, e3) = e0
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7988) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7989) op(e0, e3) = e0
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7598), (7989), (function-axioms) are
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1636.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | (7990) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7990) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (7991) all_56_6 = e3 & op(e1, e3) = e3
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7726), (7991), (function-axioms) are
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1626.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (7992) all_56_12 = e3 & op(e0, e3) = e3
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7597), (7992) are inconsistent by sub-proof
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | #616.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | (7993) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (7586), (7587), (7993),
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | #755.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | (7994) all_56_10 = e1 & op(e2, e0) = e1
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7994) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | (7995) op(e2, e0) = e1
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7587), (7995), (function-axioms) are
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1534.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | (7996) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (7557), (7575), (7996),
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | #1024.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | (7997) all_54_10 = e0
% 246.66/42.72 | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | REF_CLOSE: (336), (7561), (7997) are inconsistent by
% 246.66/42.72 | | | | | | | | | | | | | | | | sub-proof #894.
% 246.66/42.72 | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | (7998) all_22_2 = e0
% 246.66/42.72 | | | | | | | | | | | | | (7999) ( ~ (all_22_0 = e3) & op(all_22_1, all_22_1) =
% 246.66/42.72 | | | | | | | | | | | | | all_22_0 & op(e0, e1) = all_22_1 & $i(all_22_0)
% 246.66/42.72 | | | | | | | | | | | | | & $i(all_22_1)) | ( ~ (all_22_1 = e2) & op(e0,
% 246.66/42.72 | | | | | | | | | | | | | e1) = all_22_1 & $i(all_22_1))
% 246.66/42.72 | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | COMBINE_EQS: (251), (7998) imply:
% 246.66/42.72 | | | | | | | | | | | | | (8000) all_10_2 = e0
% 246.66/42.72 | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | SIMP: (8000) implies:
% 246.66/42.72 | | | | | | | | | | | | | (8001) all_10_2 = e0
% 246.66/42.72 | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | COMBINE_EQS: (333), (8001) imply:
% 246.66/42.72 | | | | | | | | | | | | | (8002) all_38_2 = e0
% 246.66/42.72 | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | REDUCE: (350), (8001) imply:
% 246.66/42.72 | | | | | | | | | | | | | (8003) ~ (all_52_2 = e0)
% 246.66/42.72 | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | REDUCE: (361), (8001) imply:
% 246.66/42.72 | | | | | | | | | | | | | (8004) ~ (all_52_6 = e0)
% 246.66/42.72 | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | REDUCE: (363), (8001) imply:
% 246.66/42.72 | | | | | | | | | | | | | (8005) ~ (all_52_8 = e0)
% 246.66/42.72 | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | REDUCE: (364), (8001) imply:
% 246.66/42.72 | | | | | | | | | | | | | (8006) ~ (all_52_9 = e0)
% 246.66/42.72 | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | REDUCE: (366), (8001) imply:
% 246.66/42.72 | | | | | | | | | | | | | (8007) ~ (all_52_11 = e0)
% 246.66/42.72 | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | REDUCE: (368), (8001) imply:
% 246.66/42.72 | | | | | | | | | | | | | (8008) ~ (all_52_14 = e0)
% 246.66/42.72 | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | REDUCE: (7559), (8001) imply:
% 246.66/42.72 | | | | | | | | | | | | | (8009) ~ (e3 = e0)
% 246.66/42.72 | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | REDUCE: (375), (8001) imply:
% 246.66/42.72 | | | | | | | | | | | | | (8010) ~ (e2 = e0)
% 246.66/42.72 | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | REDUCE: (45), (8001) imply:
% 246.66/42.72 | | | | | | | | | | | | | (8011) op(e1, e1) = e0
% 246.66/42.72 | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | BETA: splitting (67) gives:
% 246.66/42.72 | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | (8012) ~ (all_24_2 = e1)
% 246.66/42.72 | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | REDUCE: (318), (8012) imply:
% 246.66/42.72 | | | | | | | | | | | | | | (8013) ~ (all_4_2 = e1)
% 246.66/42.72 | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 246.66/42.72 | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | (8014) ~ (all_32_2 = e0)
% 246.66/42.72 | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | REDUCE: (314), (8014) imply:
% 246.66/42.72 | | | | | | | | | | | | | | | (8015) ~ (all_4_2 = e0)
% 246.66/42.72 | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 246.66/42.72 | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | (8016) all_54_5 = e3
% 246.66/42.72 | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (8016) imply:
% 246.66/42.72 | | | | | | | | | | | | | | | | (8017) all_4_2 = e3
% 246.66/42.72 | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | REDUCE: (373), (8017) imply:
% 246.66/42.72 | | | | | | | | | | | | | | | | (8018) $false
% 246.66/42.72 | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | CLOSE: (8018) is inconsistent.
% 246.66/42.72 | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | (8019) ~ (all_54_5 = e3)
% 246.66/42.72 | | | | | | | | | | | | | | | | (8020) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 246.66/42.72 | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | BETA: splitting (8020) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | (8021) all_54_5 = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (8021) imply:
% 246.66/42.72 | | | | | | | | | | | | | | | | | (8022) all_4_2 = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | REDUCE: (358), (8022) imply:
% 246.66/42.72 | | | | | | | | | | | | | | | | | (8023) ~ (all_52_9 = e2)
% 246.66/42.72 | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | REDUCE: (360), (8022) imply:
% 246.66/42.72 | | | | | | | | | | | | | | | | | (8024) ~ (all_52_13 = e2)
% 246.66/42.72 | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | REDUCE: (373), (8022) imply:
% 246.66/42.72 | | | | | | | | | | | | | | | | | (8025) ~ (e3 = e2)
% 246.66/42.72 | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | REDUCE: (36), (8022) imply:
% 246.66/42.72 | | | | | | | | | | | | | | | | | (8026) op(e2, e2) = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | (8027) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 246.66/42.72 | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | BETA: splitting (8027) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | (8028) all_56_6 = e2 & op(e1, e3) = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | ALPHA: (8028) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | (8029) all_56_6 = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | (8030) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8030) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | (8031) all_56_4 = e2 & op(e3, e1) = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8031) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | (8032) all_56_4 = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | (8033) op(e3, e1) = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | (8034) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8034) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | (8035) all_56_0 = e3 & op(e3, e3) = e3
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8035) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | (8036) op(e3, e3) = e3
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5813), (8036), (function-axioms) are
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | (8037) all_56_2 = e3 & op(e2, e3) = e3
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8037) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | (8038) all_56_2 = e3
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | (8039) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8039) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | (8040) all_56_12 = e2 & op(e0, e3) = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8040) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | (8041) all_56_12 = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (8042) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (5813), (8038), (8042),
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | #749.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (8043) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (218), (219),
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (8003), (8011), (8032), (8041), (8043),
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | #1364.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | (8044) all_56_13 = e2 & op(e0, e2) = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8044) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | (8045) all_56_13 = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (169), (214),
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (218), (219), (220), (225), (236),
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | (5813), (7548), (8011), (8026), (8032), (8033),
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | (8045), (function-axioms) are inconsistent by
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #594.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | (8046) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8046) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | (8047) all_56_14 = e2 & op(e0, e1) = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8047) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | (8048) all_56_14 = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (8049) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (5813), (8038), (8049),
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | #749.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (8050) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8050) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8051) all_56_6 = e0 & op(e1, e3) = e0
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8051) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8052) op(e1, e3) = e0
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8003), (8052), (function-axioms) are
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1444.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8053) all_56_12 = e0 & op(e0, e3) = e0
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8053) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8054) op(e0, e3) = e0
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8055) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8055) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8056) all_56_12 = e1 & op(e0, e3) = e1
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8056) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8057) op(e0, e3) = e1
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8054), (8057), (function-axioms) are
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1636.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8058) all_56_13 = e1 & op(e0, e2) = e1
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8058) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8059) all_56_13 = e1
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8060) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (168), (169), (236), (5813),
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7548), (8026), (8033), (8060), (function-axioms)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #596.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8061) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (214), (215), (216),
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8011), (8059), (8061), (function-axioms) are
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #593.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8062) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (7557), (8048), (8062),
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #974.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | (8063) all_56_15 = e2 & op(e0, e0) = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8063) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | (8064) op(e0, e0) = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7557), (8064), (function-axioms) are
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1063.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | (8065) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8065) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | (8066) all_56_6 = e3 & op(e1, e3) = e3
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8066) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | (8067) all_56_6 = e3
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8029), (8067) are inconsistent by sub-proof
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | #1406.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | (8068) all_56_12 = e3 & op(e0, e3) = e3
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8068) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | (8069) all_56_12 = e3
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | (8070) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8070) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | (8071) all_56_12 = e2 & op(e0, e3) = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8069), (8071) are inconsistent by sub-proof
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | #1656.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | (8072) all_56_13 = e2 & op(e0, e2) = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8072) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | (8073) all_56_13 = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (169), (214),
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (218), (219), (220), (225), (236),
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | (5813), (7548), (8011), (8026), (8032), (8033),
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | (8073), (function-axioms) are inconsistent by
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #594.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | (8074) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8074) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | (8075) all_56_14 = e2 & op(e0, e1) = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8075) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | (8076) all_56_14 = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (8077) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8077) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8078) all_56_0 = e0 & op(e3, e3) = e0
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8078) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8079) op(e3, e3) = e0
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (8079), (function-axioms) are
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #808.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8080) all_56_2 = e0 & op(e2, e3) = e0
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8080) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8081) all_56_2 = e0
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8082) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8082) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8083) all_56_12 = e1 & op(e0, e3) = e1
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8069), (8083) are inconsistent by sub-proof
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1570.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8084) all_56_13 = e1 & op(e0, e2) = e1
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8084) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8085) all_56_13 = e1
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (168),
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (214), (215), (216), (222), (223), (224),
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (236), (373), (5813), (7548), (7549),
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8011), (8033), (8081), (8085), (function-axioms)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #592.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8086) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (7557), (8076), (8086),
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #974.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (8087) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (163), (8003), (8069), (8087),
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | #591.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | (8088) all_56_15 = e2 & op(e0, e0) = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8088) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | (8089) op(e0, e0) = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7557), (8089), (function-axioms) are
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1063.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | (8090) all_56_5 = e2 & op(e2, e1) = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8090) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | (8091) op(e2, e1) = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8023), (8091), (function-axioms) are
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1838.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | (8092) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8092) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | (8093) all_56_8 = e2 & op(e1, e1) = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8093) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | (8094) op(e1, e1) = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8011), (8094), (function-axioms) are
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1523.
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | (8095) all_56_14 = e2 & op(e0, e1) = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8095) implies:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | (8096) all_56_14 = e2
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.72 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | (8097) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8097) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | (8098) all_56_0 = e3 & op(e3, e3) = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8098) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | (8099) op(e3, e3) = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5813), (8099), (function-axioms) are
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | (8100) all_56_2 = e3 & op(e2, e3) = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8100) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | (8101) all_56_2 = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (168),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (214), (215), (216), (218),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (223), (224), (225), (228),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (236), (373), (5813), (7548),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | (7556), (7557), (8003), (8011), (8026), (8029),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | (8096), (8101), (function-axioms) are inconsistent
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #584.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | (8102) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8102) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | (8103) all_56_6 = e3 & op(e1, e3) = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8103) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | (8104) all_56_6 = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8029), (8104) are inconsistent by sub-proof
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | #1406.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | (8105) all_56_12 = e3 & op(e0, e3) = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8105) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | (8106) all_56_12 = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | (8107) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8107) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | (8108) all_56_0 = e0 & op(e3, e3) = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8108) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | (8109) op(e3, e3) = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (8109), (function-axioms) are
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #808.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | (8110) all_56_2 = e0 & op(e2, e3) = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8110) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | (8111) all_56_2 = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (8112) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8112) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8113) all_56_12 = e1 & op(e0, e3) = e1
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8106), (8113) are inconsistent by sub-proof
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1570.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8114) all_56_13 = e1 & op(e0, e2) = e1
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8114) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8115) all_56_13 = e1
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8116) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8116) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8117) all_56_2 = e3 & op(e2, e3) = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8117) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8118) all_56_2 = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (168),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (214), (215), (216), (218),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (223), (224), (225), (228),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (236), (373), (5813), (7548),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7556), (7557), (8003), (8011), (8026), (8029),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8096), (8115), (8118), (function-axioms) are
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #585.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8119) all_56_3 = e3 & op(e2, e2) = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8119) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8120) op(e2, e2) = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (8120), (function-axioms) are
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8121) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8121) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8122) all_56_5 = e3 & op(e2, e1) = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8122) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8123) all_56_5 = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8124) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8124) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8125) all_56_1 = e0 & op(e3, e2) = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8125) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8126) all_56_1 = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (168), (169),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (236), (5813), (7547),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7548), (8011), (8096), (8123), (8126),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #582.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8127) all_56_3 = e0 & op(e2, e2) = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8127) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8128) op(e2, e2) = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (222), (223),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (373), (8111), (8123), (8128),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #983.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8129) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (214), (215), (216),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8011), (8115), (8129), (function-axioms) are
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #593.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8130) all_56_10 = e3 & op(e2, e0) = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8130) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8131) op(e2, e0) = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7549), (8131), (function-axioms) are
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1086.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (8132) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (7557), (8096), (8132),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | #974.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | (8133) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (163), (8003), (8106), (8133),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | #591.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | (8134) all_56_7 = e2 & op(e1, e2) = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | ALPHA: (8134) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | (8135) all_56_7 = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | (8136) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8136) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | (8137) all_56_4 = e2 & op(e3, e1) = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8137) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | (8138) all_56_4 = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | (8139) op(e3, e1) = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | (8140) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8140) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | (8141) all_56_9 = e2 & op(e3, e0) = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8141) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | (8142) all_56_9 = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | (8143) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8143) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | (8144) all_56_0 = e0 & op(e3, e3) = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8144) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | (8145) op(e3, e3) = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (8145), (function-axioms) are
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #808.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | (8146) all_56_1 = e0 & op(e3, e2) = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (168), (169), (236), (5813), (7548),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | (8139), (8146), (function-axioms) are inconsistent
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #597.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | (8147) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8147) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | (8148) all_56_4 = e0 & op(e3, e1) = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8148) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | (8149) all_56_4 = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | (8011), (8149), (function-axioms) are inconsistent
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1515.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | (8150) all_56_9 = e0 & op(e3, e0) = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8150) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | (8151) all_56_9 = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8142), (8151) imply:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | (8152) e2 = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8138), (8152) imply:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | (8153) all_56_4 = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | (8011), (8153), (function-axioms) are inconsistent
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1515.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | (8154) all_56_10 = e2 & op(e2, e0) = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8154) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | (8155) op(e2, e0) = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8024), (8155), (function-axioms) are
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1493.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | (8156) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (213), (214),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | (215), (216), (7550), (7557), (8011), (8135),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | (8156), (function-axioms) are inconsistent by
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | sub-proof #581.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | (8157) all_56_5 = e2 & op(e2, e1) = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8157) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | (8158) op(e2, e1) = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8023), (8158), (function-axioms) are
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1838.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | (8159) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8159) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | (8160) all_56_8 = e2 & op(e1, e1) = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8160) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | (8161) op(e1, e1) = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8011), (8161), (function-axioms) are
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1523.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | (8162) all_56_14 = e2 & op(e0, e1) = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8162) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | (8163) all_56_14 = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | (8164) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8164) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | (8165) all_56_9 = e2 & op(e3, e0) = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8165) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | (8166) all_56_9 = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | (8167) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8167) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | (8168) all_56_0 = e0 & op(e3, e3) = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8168) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | (8169) op(e3, e3) = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (8169), (function-axioms) are
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #808.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | (8170) all_56_1 = e0 & op(e3, e2) = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8170) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | (8171) all_56_1 = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (8172) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (5813), (8171), (8172),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | #754.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (8173) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8173) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8174) all_56_4 = e3 & op(e3, e1) = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8174) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8175) all_56_4 = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8176) op(e3, e1) = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8177) all_56_15 = e0 & op(e0, e0) = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8177) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8178) all_56_15 = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7556), (8178) imply:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8179) e3 = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8175), (8179) imply:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8180) all_56_4 = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8011), (8180), (function-axioms) are inconsistent
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1515.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8181) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8181) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8182) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8183) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8183) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8184) all_56_6 = e3 & op(e1, e3) = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8184) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8185) all_56_6 = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8186) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8186) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8187) all_56_4 = e1 & op(e3, e1) = e1
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8187) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8188) op(e3, e1) = e1
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8176), (8188), (function-axioms) are
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #998.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8189) all_56_5 = e1 & op(e2, e1) = e1
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8189) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8190) all_56_5 = e1
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8191) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8191) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8192) all_56_6 = e1 & op(e1, e3) = e1
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8185), (8192) are inconsistent by sub-proof
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #992.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8193) all_56_7 = e1 & op(e1, e2) = e1
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8193) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8194) all_56_7 = e1
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8135), (8194) imply:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8195) e2 = e1
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8163), (8195) imply:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8196) all_56_14 = e1
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (8011), (8175), (8190),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8196), (function-axioms) are inconsistent by
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1410.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8197) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8197) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8198) all_56_8 = e1 & op(e1, e1) = e1
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8198) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8199) op(e1, e1) = e1
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8011), (8199), (function-axioms) are
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1857.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8200) all_56_11 = e1 & op(e1, e0) = e1
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8200) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8201) all_56_11 = e1
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8202) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8202) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8203) all_56_2 = e3 & op(e2, e3) = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8203) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8204) all_56_2 = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8205) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (218), (219),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (373), (8011), (8171), (8175), (8205),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #587.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8206) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8206) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8207) all_56_7 = e3 & op(e1, e2) = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8207) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8208) all_56_7 = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8135), (8208) imply:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8209) e3 = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8185), (8209) imply:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8210) all_56_6 = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (168),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (214), (215), (216), (218),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (223), (224), (225), (228),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (236), (373), (5813), (7548),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7556), (7557), (8003), (8011), (8026), (8163),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8204), (8210), (function-axioms) are inconsistent
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #584.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8211) all_56_13 = e3 & op(e0, e2) = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8211) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8212) all_56_13 = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7556), (7557), (8163), (8212), (function-axioms)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #973.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8213) all_56_3 = e3 & op(e2, e2) = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8213) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8214) op(e2, e2) = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (8214), (function-axioms) are
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8215) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8215) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8216) all_56_5 = e3 & op(e2, e1) = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8216) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8217) all_56_5 = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (168), (169),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (236), (5813), (7547),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7548), (8011), (8163), (8171), (8217),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #582.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8218) all_56_10 = e3 & op(e2, e0) = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8218) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8219) all_56_10 = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8166), (8182), (8201), (8219) are
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1804.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8220) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8011), (8163), (8220),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #933.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8221) all_56_7 = e3 & op(e1, e2) = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8221) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8222) all_56_7 = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8135), (8222) are inconsistent by sub-proof
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1818.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8223) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (7550), (8011), (8223),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #580.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8224) all_56_9 = e3 & op(e3, e0) = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8224) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8225) op(e3, e0) = e3
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (7548), (8225), (function-axioms) are
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1862.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | (8226) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | (8011), (8166), (8226), (function-axioms) are
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1324.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | (8227) all_56_10 = e2 & op(e2, e0) = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8227) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | (8228) op(e2, e0) = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8024), (8228), (function-axioms) are
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1493.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | (8229) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (213), (214),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | (215), (216), (7550), (7557), (8011), (8135),
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | (8229), (function-axioms) are inconsistent by
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | | sub-proof #581.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.73 | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | (8230) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 246.66/42.73 | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 246.66/42.73 | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | BETA: splitting (8230) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | (8231) all_56_8 = e2 & op(e1, e1) = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | ALPHA: (8231) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | (8232) op(e1, e1) = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8011), (8232), (function-axioms) are
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1523.
% 246.66/42.73 | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | (8233) all_56_11 = e2 & op(e1, e0) = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | ALPHA: (8233) implies:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | (8234) all_56_11 = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | (8235) op(e1, e0) = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | (8236) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8236) gives:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.73 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (8237) all_56_4 = e2 & op(e3, e1) = e2
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8237) implies:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (8238) all_56_4 = e2
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (8239) op(e3, e1) = e2
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | (8240) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8240) gives:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | (8241) all_56_12 = e2 & op(e0, e3) = e2
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8241) implies:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | (8242) all_56_12 = e2
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | (8243) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8243) gives:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | (8244) all_56_0 = e0 & op(e3, e3) = e0
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8244) implies:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | (8245) op(e3, e3) = e0
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (8245), (function-axioms) are
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #808.
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | (8246) all_56_2 = e0 & op(e2, e3) = e0
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8246) implies:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | (8247) all_56_2 = e0
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (8248) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8248) gives:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8249) all_56_0 = e3 & op(e3, e3) = e3
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8249) implies:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8250) op(e3, e3) = e3
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5813), (8250), (function-axioms) are
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8251) all_56_1 = e3 & op(e3, e2) = e3
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8251) implies:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8252) all_56_1 = e3
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8253) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (8013), (8252), (8253),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #691.
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8254) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8254) gives:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8255) all_56_7 = e1 & op(e1, e2) = e1
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8255) implies:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8256) all_56_7 = e1
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8257) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8257) gives:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8258) all_56_0 = e1 & op(e3, e3) = e1
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8258) implies:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8259) op(e3, e3) = e1
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5813), (8259), (function-axioms) are
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8260) all_56_2 = e1 & op(e2, e3) = e1
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8247), (8260) are inconsistent by sub-proof
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #579.
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8261) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8261) gives:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8262) all_56_6 = e1 & op(e1, e3) = e1
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8262) implies:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8263) all_56_6 = e1
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (213), (216), (8234),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8256), (8263), (function-axioms) are inconsistent
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1471.
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8264) all_56_12 = e1 & op(e0, e3) = e1
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8264) implies:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8265) all_56_12 = e1
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8242), (8265) are inconsistent by sub-proof
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1259.
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8266) all_56_13 = e1 & op(e0, e2) = e1
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8266) implies:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8267) all_56_13 = e1
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (168),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (214), (215), (216), (222), (223), (224),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (236), (373), (5813), (7548), (7549),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8011), (8239), (8247), (8267), (function-axioms)
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #592.
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (8268) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (169), (7548), (8239), (8268),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | #928.
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | (8269) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (218), (219),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | (220), (8003), (8011), (8238), (8242), (8269),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | | #1364.
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | (8270) all_56_13 = e2 & op(e0, e2) = e2
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8270) implies:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | (8271) all_56_13 = e2
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (169), (214),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (218), (219), (220), (225), (236),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | (5813), (7548), (8011), (8026), (8238), (8239),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | (8271), (function-axioms) are inconsistent by
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #594.
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | (8272) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8272) gives:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | (8273) all_56_14 = e2 & op(e0, e1) = e2
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (36), (88), (110), (112),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | (117), (118), (120), (121), (123), (126), (133),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | (134), (136), (141), (143), (145), (146), (149),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | (157), (160), (162), (163), (164), (165), (167),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (195), (196), (197), (198),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (206), (207), (208),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (224), (225), (228), (229),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | (232), (235), (236), (238), (239), (258), (259),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | (260), (261), (268), (269), (270), (271), (272),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | (349), (373), (5804), (5807), (5813), (7548),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | (7549), (7556), (7557), (7999), (8002), (8003),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | (8004), (8005), (8006), (8007), (8008), (8011),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | (8013), (8015), (8020), (8026), (8234), (8235),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | (8273), (function-axioms) are inconsistent by
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #575.
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | (8274) all_56_15 = e2 & op(e0, e0) = e2
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8274) implies:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | (8275) op(e0, e0) = e2
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7557), (8275), (function-axioms) are
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1063.
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (8276) all_56_5 = e2 & op(e2, e1) = e2
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8276) implies:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (8277) op(e2, e1) = e2
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8023), (8277), (function-axioms) are
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1838.
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | (8278) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8278) gives:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (8279) all_56_8 = e2 & op(e1, e1) = e2
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8279) implies:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (8280) op(e1, e1) = e2
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8011), (8280), (function-axioms) are
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1523.
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (8281) all_56_14 = e2 & op(e0, e1) = e2
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (36), (88), (110), (112),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (117), (118), (120), (121), (123), (126), (133),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (134), (136), (141), (143), (145), (146), (149),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (157), (160), (162), (163), (164), (165), (167),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (195), (196), (197), (198),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (206), (207), (208),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (224), (225), (228), (229),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (232), (235), (236), (238), (239), (258), (259),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (260), (261), (268), (269), (270), (271), (272),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (349), (373), (5804), (5807), (5813), (7548),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (7549), (7556), (7557), (7999), (8002), (8003),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (8004), (8005), (8006), (8007), (8008), (8011),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (8013), (8015), (8020), (8026), (8234), (8235),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (8281), (function-axioms) are inconsistent by
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | sub-proof #575.
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.74 | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.74 | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | End of split
% 246.66/42.74 | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.74 | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | (8282) all_54_5 = e1 | all_54_5 = e0
% 246.66/42.74 | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (8013), (8015), (8282) are inconsistent by
% 246.66/42.74 | | | | | | | | | | | | | | | | | sub-proof #1845.
% 246.66/42.74 | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | End of split
% 246.66/42.74 | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | End of split
% 246.66/42.74 | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | Case 2:
% 246.66/42.74 | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | (8283) all_32_2 = e0
% 246.66/42.74 | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | COMBINE_EQS: (314), (8283) imply:
% 246.66/42.74 | | | | | | | | | | | | | | | (8284) all_4_2 = e0
% 246.66/42.74 | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | SIMP: (8284) implies:
% 246.66/42.74 | | | | | | | | | | | | | | | (8285) all_4_2 = e0
% 246.66/42.74 | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | REDUCE: (352), (8285) imply:
% 246.66/42.74 | | | | | | | | | | | | | | | (8286) ~ (all_52_4 = e0)
% 246.66/42.74 | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | REDUCE: (356), (8285) imply:
% 246.66/42.74 | | | | | | | | | | | | | | | (8287) ~ (all_52_7 = e0)
% 246.66/42.74 | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | REDUCE: (8013), (8285) imply:
% 246.66/42.74 | | | | | | | | | | | | | | | (8288) ~ (e1 = e0)
% 246.66/42.74 | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | REDUCE: (36), (8285) imply:
% 246.66/42.74 | | | | | | | | | | | | | | | (8289) op(e2, e2) = e0
% 246.66/42.74 | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 246.66/42.74 | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | Case 1:
% 246.66/42.74 | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | (8290) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 246.66/42.74 | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 246.66/42.74 | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | BETA: splitting (8290) gives:
% 246.66/42.74 | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.74 | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | (8291) all_56_0 = e0 & op(e3, e3) = e0
% 246.66/42.74 | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | ALPHA: (8291) implies:
% 246.66/42.74 | | | | | | | | | | | | | | | | | (8292) op(e3, e3) = e0
% 246.66/42.74 | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (8292), (function-axioms) are
% 246.66/42.74 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #808.
% 246.66/42.74 | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.74 | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | (8293) all_56_2 = e0 & op(e2, e3) = e0
% 246.66/42.74 | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | ALPHA: (8293) implies:
% 246.66/42.74 | | | | | | | | | | | | | | | | | (8294) all_56_2 = e0
% 246.66/42.74 | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (222),
% 246.66/42.74 | | | | | | | | | | | | | | | | | (223), (224), (373), (7549), (8289), (8294),
% 246.66/42.74 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.74 | | | | | | | | | | | | | | | | | #707.
% 246.66/42.74 | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | End of split
% 246.66/42.74 | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | Case 2:
% 246.66/42.74 | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | (8295) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 246.66/42.74 | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 246.66/42.74 | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | BETA: splitting (8295) gives:
% 246.66/42.74 | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.74 | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | (8296) all_56_6 = e0 & op(e1, e3) = e0
% 246.66/42.74 | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | ALPHA: (8296) implies:
% 246.66/42.74 | | | | | | | | | | | | | | | | | (8297) op(e1, e3) = e0
% 246.66/42.74 | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8003), (8297), (function-axioms) are
% 246.66/42.74 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1444.
% 246.66/42.74 | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.74 | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | (8298) all_56_12 = e0 & op(e0, e3) = e0
% 246.66/42.74 | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | ALPHA: (8298) implies:
% 246.66/42.74 | | | | | | | | | | | | | | | | | (8299) op(e0, e3) = e0
% 246.66/42.74 | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 246.66/42.74 | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.74 | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | (8300) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.66/42.74 | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.66/42.74 | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.66/42.74 | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.66/42.74 | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 246.66/42.74 | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 246.66/42.74 | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 246.66/42.74 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 246.66/42.74 | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.66/42.74 | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.66/42.74 | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.66/42.74 | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | BETA: splitting (8300) gives:
% 246.66/42.74 | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | (8301) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 246.66/42.74 | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | BETA: splitting (8301) gives:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | (8302) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5804), (8302), (function-axioms) are
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1721.
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | (8303) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (8299), (8303), (function-axioms) are
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1035.
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.74 | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | (8304) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.66/42.74 | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | BETA: splitting (8304) gives:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | (8305) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (7557), (8011), (8305),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | #969.
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | (8306) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8306) gives:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (8307) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8307) implies:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (8308) all_57_26 = e2
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (8309) all_57_20 = e1
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (8310) ~ (all_57_19 = e3)
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (8311) op(e1, e2) = e1
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (8312) op(e3, e2) = all_57_19
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (136), (162), (170), (203), (239), (272),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (5807), (5813), (8011), (8286), (8308), (8309),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (8310), (8311), (8312), (function-axioms) are
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #573.
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (8313) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (7557), (8289), (8313),
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | | #1034.
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.74 | | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.74 | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.74 | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | (8314) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.66/42.74 | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.66/42.74 | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.66/42.74 | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.66/42.74 | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 246.66/42.74 | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 246.66/42.74 | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 246.66/42.74 | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 246.66/42.74 | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 246.66/42.74 | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 246.66/42.74 | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 246.66/42.74 | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 246.66/42.74 | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 246.66/42.74 | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 246.66/42.74 | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 246.66/42.74 | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.66/42.74 | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.66/42.74 | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.66/42.74 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.66/42.74 | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.66/42.74 | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.74 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.66/42.74 | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | BETA: splitting (8314) gives:
% 246.66/42.74 | | | | | | | | | | | | | | | | | |
% 246.66/42.74 | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.74 | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | (8315) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.66/42.75 | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | BETA: splitting (8315) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | (8316) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (5813), (7557), (8316),
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | #687.
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | (8317) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (7548), (7557), (8317),
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | #1066.
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.75 | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | (8318) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.66/42.75 | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | BETA: splitting (8318) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | (8319) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (8319), (function-axioms) are
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #803.
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | (8320) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8320) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | (8321) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8321) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | (8322) ~ (all_57_28 = e0)
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | (8323) op(e2, e2) = all_57_28
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8289), (8322), (8323), (function-axioms) are
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1781.
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | (8324) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8324) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | (8325) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8325) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | (8326) ~ (all_57_30 = e0)
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | (8327) op(e1, e1) = all_57_30
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8011), (8326), (8327), (function-axioms) are
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1492.
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | (8328) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8328) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | (8329) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (36), (157), (158), (373),
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | (8007), (8011), (8013), (8287), (8289), (8329),
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | #720.
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.75 | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.75 | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | End of split
% 246.66/42.75 | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | End of split
% 246.66/42.75 | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | End of split
% 246.66/42.75 | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | End of split
% 246.66/42.75 | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | Case 2:
% 246.66/42.75 | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | (8330) all_24_2 = e1
% 246.66/42.75 | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | COMBINE_EQS: (318), (8330) imply:
% 246.66/42.75 | | | | | | | | | | | | | | (8331) all_4_2 = e1
% 246.66/42.75 | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | REDUCE: (349), (8331) imply:
% 246.66/42.75 | | | | | | | | | | | | | | (8332) ~ (all_52_1 = e1)
% 246.66/42.75 | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | REDUCE: (354), (8331) imply:
% 246.66/42.75 | | | | | | | | | | | | | | (8333) ~ (all_52_6 = e1)
% 246.66/42.75 | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | REDUCE: (356), (8331) imply:
% 246.66/42.75 | | | | | | | | | | | | | | (8334) ~ (all_52_7 = e1)
% 246.66/42.75 | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | REDUCE: (358), (8331) imply:
% 246.66/42.75 | | | | | | | | | | | | | | (8335) ~ (all_52_9 = e1)
% 246.66/42.75 | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | REDUCE: (360), (8331) imply:
% 246.66/42.75 | | | | | | | | | | | | | | (8336) ~ (all_52_13 = e1)
% 246.66/42.75 | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | REDUCE: (373), (8331) imply:
% 246.66/42.75 | | | | | | | | | | | | | | (8337) ~ (e3 = e1)
% 246.66/42.75 | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | REDUCE: (36), (8331) imply:
% 246.66/42.75 | | | | | | | | | | | | | | (8338) op(e2, e2) = e1
% 246.66/42.75 | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 246.66/42.75 | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | (8339) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 246.66/42.75 | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 246.66/42.75 | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | BETA: splitting (8339) gives:
% 246.66/42.75 | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | (8340) all_56_2 = e1 & op(e2, e3) = e1
% 246.66/42.75 | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | ALPHA: (8340) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | (8341) all_56_2 = e1
% 246.66/42.75 | | | | | | | | | | | | | | | | (8342) op(e2, e3) = e1
% 246.66/42.75 | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (158), (163),
% 246.66/42.75 | | | | | | | | | | | | | | | | (164), (168), (169), (207), (208), (214), (215),
% 246.66/42.75 | | | | | | | | | | | | | | | | (216), (218), (219), (220), (221), (223), (224),
% 246.66/42.75 | | | | | | | | | | | | | | | | (225), (229), (236), (5813), (7547), (7548),
% 246.66/42.75 | | | | | | | | | | | | | | | | (7549), (7557), (8003), (8011), (8334), (8338),
% 246.66/42.75 | | | | | | | | | | | | | | | | (8341), (8342), (function-axioms) are inconsistent
% 246.66/42.75 | | | | | | | | | | | | | | | | by sub-proof #570.
% 246.66/42.75 | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | Case 2:
% 246.66/42.75 | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | (8343) all_56_3 = e1 & op(e2, e2) = e1
% 246.66/42.75 | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | ALPHA: (8343) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | (8344) all_56_3 = e1
% 246.66/42.75 | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | (8345) all_54_12 = e3
% 246.66/42.75 | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (7545), (8345) are inconsistent by
% 246.66/42.75 | | | | | | | | | | | | | | | | | sub-proof #1503.
% 246.66/42.75 | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.75 | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | (8346) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 246.66/42.75 | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | (8347) all_54_8 = e3
% 246.66/42.75 | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (8347) imply:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | (8348) all_52_2 = e3
% 246.66/42.75 | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | REDUCE: (149), (8348) imply:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | (8349) ~ (all_52_1 = e3)
% 246.66/42.75 | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | REDUCE: (144), (8348) imply:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | (8350) ~ (all_52_3 = e3)
% 246.66/42.75 | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | REDUCE: (143), (8348) imply:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | (8351) ~ (all_52_6 = e3)
% 246.66/42.75 | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | SIMP: (8351) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | (8352) ~ (all_52_6 = e3)
% 246.66/42.75 | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | REDUCE: (141), (8348) imply:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | (8353) ~ (all_52_14 = e3)
% 246.66/42.75 | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | (8354) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 246.66/42.75 | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | BETA: splitting (8354) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | (8355) all_56_6 = e3 & op(e1, e3) = e3
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | ALPHA: (8355) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | (8356) all_56_6 = e3
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | (8357) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8357) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | (8358) all_56_2 = e3 & op(e2, e3) = e3
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8358) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | (8359) all_56_2 = e3
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | (8360) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8360) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | (8361) all_56_1 = e3 & op(e3, e2) = e3
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8361) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | (8362) all_56_1 = e3
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | (8363) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8363) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (8364) all_56_2 = e0 & op(e2, e3) = e0
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8364) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (8365) all_56_2 = e0
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8359), (8365) are inconsistent by sub-proof
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | #1587.
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (8366) all_56_3 = e0 & op(e2, e2) = e0
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8366) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (8367) op(e2, e2) = e0
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8338), (8367), (function-axioms) are
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1795.
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | (8368) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8368) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (8369) all_56_5 = e0 & op(e2, e1) = e0
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8369) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (8370) all_56_5 = e0
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (169), (218),
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (7547), (8011), (8370),
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | #995.
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (8371) all_56_10 = e0 & op(e2, e0) = e0
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8371) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (8372) all_56_10 = e0
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (168), (210),
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (215), (218), (219), (220), (230),
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (5813), (7548), (7557), (8011), (8336), (8356),
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (8362), (8372), (function-axioms) are inconsistent
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #568.
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | (8373) all_56_3 = e3 & op(e2, e2) = e3
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8373) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | (8374) op(e2, e2) = e3
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8338), (8374), (function-axioms) are
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | (8375) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (7546), (8352), (8375),
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | #668.
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | (8376) all_56_3 = e3 & op(e2, e2) = e3
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8376) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | (8377) op(e2, e2) = e3
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8338), (8377), (function-axioms) are
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | (8378) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8378) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | (8379) all_56_5 = e3 & op(e2, e1) = e3
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8379) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | (8380) all_56_5 = e3
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | (8381) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8381) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | (8382) all_56_1 = e3 & op(e3, e2) = e3
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8382) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | (8383) all_56_1 = e3
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | (8384) op(e3, e2) = e3
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | (8385) all_54_4 = e3
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (8349), (8385) are inconsistent by
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1696.
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | (8386) ~ (all_54_4 = e3)
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | (8387) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (8388) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8388) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8389) all_56_0 = e1 & op(e3, e3) = e1
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8389) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8390) op(e3, e3) = e1
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5813), (8390), (function-axioms) are
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8391) all_56_2 = e1 & op(e2, e3) = e1
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8391) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8392) all_56_2 = e1
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8393) op(e2, e3) = e1
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (158), (163),
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (168), (169), (207), (208), (214), (215),
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (220), (221), (223), (224),
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (229), (236), (5813), (7547), (7548),
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7549), (7557), (8003), (8011), (8334), (8338),
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8392), (8393), (function-axioms) are inconsistent
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #570.
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (8394) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8394) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8395) all_56_6 = e1 & op(e1, e3) = e1
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8356), (8395) are inconsistent by sub-proof
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | #992.
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8396) all_56_12 = e1 & op(e0, e3) = e1
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8396) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8397) all_56_12 = e1
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8398) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8398) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8399) all_56_4 = e2 & op(e3, e1) = e2
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8399) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8400) all_56_4 = e2
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8401) op(e3, e1) = e2
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8402) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8402) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8403) all_56_1 = e0 & op(e3, e2) = e0
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (168), (169), (236), (5813), (7548),
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8401), (8403), (function-axioms) are inconsistent
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #597.
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8404) all_56_3 = e0 & op(e2, e2) = e0
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8404) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8405) op(e2, e2) = e0
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8338), (8405), (function-axioms) are
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1795.
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8406) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8406) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8407) all_56_7 = e0 & op(e1, e2) = e0
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8407) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8408) all_56_7 = e0
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8409) op(e1, e2) = e0
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (214), (215), (216),
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8011), (8408), (8409), (function-axioms) are
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #985.
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8410) all_56_13 = e0 & op(e0, e2) = e0
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8410) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8411) all_56_13 = e0
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8412) op(e0, e2) = e0
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8413) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8413) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8414) all_56_12 = e2 & op(e0, e3) = e2
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8414) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8415) all_56_12 = e2
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8397), (8415) are inconsistent by sub-proof
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1259.
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8416) all_56_13 = e2 & op(e0, e2) = e2
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8416) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8417) all_56_13 = e2
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8011), (8400), (8411), (8417), (function-axioms)
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #595.
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8418) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8418) gives:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8419) all_56_14 = e2 & op(e0, e1) = e2
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8419) implies:
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8420) all_56_14 = e2
% 246.66/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (139), (148),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (162), (164), (165), (167), (168), (169),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (212), (214), (215), (217), (218),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (230),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (249), (269), (373), (5804), (5806),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5813), (7545), (7547), (7548), (7557), (8007),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8011), (8332), (8333), (8335), (8336), (8338),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8346), (8349), (8356), (8380), (8383), (8384),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8387), (8412), (8420), (function-axioms) are
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #567.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8421) all_56_15 = e2 & op(e0, e0) = e2
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8421) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8422) op(e0, e0) = e2
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7557), (8422), (function-axioms) are
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1063.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8423) all_56_5 = e2 & op(e2, e1) = e2
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8380), (8423) are inconsistent by sub-proof
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1573.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8424) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8424) gives:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8425) all_56_8 = e2 & op(e1, e1) = e2
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8425) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8426) op(e1, e1) = e2
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8011), (8426), (function-axioms) are
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1523.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8427) all_56_14 = e2 & op(e0, e1) = e2
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8427) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8428) all_56_14 = e2
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8429) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8429) gives:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8430) all_56_1 = e0 & op(e3, e2) = e0
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8430) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8431) all_56_1 = e0
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8383), (8431) imply:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8432) e3 = e0
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8380), (8432) imply:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8433) all_56_5 = e0
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (169), (218),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (7547), (8011), (8433),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #995.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8434) all_56_3 = e0 & op(e2, e2) = e0
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8434) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8435) op(e2, e2) = e0
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8338), (8435), (function-axioms) are
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1795.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8436) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8436) gives:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8437) all_56_7 = e0 & op(e1, e2) = e0
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8437) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8438) all_56_7 = e0
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8439) op(e1, e2) = e0
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (214), (215), (216),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8011), (8438), (8439), (function-axioms) are
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #985.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8440) all_56_13 = e0 & op(e0, e2) = e0
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8440) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8441) op(e0, e2) = e0
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (139), (148),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (162), (164), (165), (167), (168), (169),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (212), (214), (215), (217), (218),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (230),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (249), (269), (373), (5804), (5806),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5813), (7545), (7547), (7548), (7557), (8007),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8011), (8332), (8333), (8335), (8336), (8338),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8346), (8349), (8356), (8380), (8383), (8384),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8387), (8428), (8441), (function-axioms) are
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #567.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (8442) all_56_3 = e3 & op(e2, e2) = e3
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8442) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (8443) op(e2, e2) = e3
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8338), (8443), (function-axioms) are
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | (8444) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8444) gives:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (8445) all_56_7 = e3 & op(e1, e2) = e3
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8445) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (8446) op(e1, e2) = e3
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8352), (8446), (function-axioms) are
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1702.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (8447) all_56_13 = e3 & op(e0, e2) = e3
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (169), (206),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (218), (219), (220), (7547), (7556),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (7557), (8007), (8011), (8380), (8447),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | #970.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | (8448) all_56_10 = e3 & op(e2, e0) = e3
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8448) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | (8449) op(e2, e0) = e3
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7549), (8449), (function-axioms) are
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1086.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | (8450) all_56_7 = e3 & op(e1, e2) = e3
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | ALPHA: (8450) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | (8451) op(e1, e2) = e3
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8352), (8451), (function-axioms) are
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1702.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | (8452) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (7550), (8011), (8452),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | #580.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | (8453) ~ (all_54_8 = e3)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | (8454) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 246.66/42.76 | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | REDUCE: (259), (8453) imply:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | (8455) ~ (all_52_2 = e3)
% 246.66/42.76 | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | BETA: splitting (8454) gives:
% 246.66/42.76 | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | (8456) all_54_8 = e2
% 246.66/42.76 | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (8456) imply:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | (8457) all_52_2 = e2
% 246.66/42.76 | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | REDUCE: (5805), (8457) imply:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | (8458) $false
% 246.66/42.76 | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | CLOSE: (8458) is inconsistent.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | (8459) ~ (all_54_8 = e2)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | (8460) all_54_8 = e1 | all_54_8 = e0
% 246.66/42.76 | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | BETA: splitting (8460) gives:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | (8461) all_54_8 = e1
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (8461) imply:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | (8462) all_52_2 = e1
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (8462) imply:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | (8463) ~ (all_52_3 = e1)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | SIMP: (8463) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | (8464) ~ (all_52_3 = e1)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (8462) imply:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | (8465) ~ (all_52_6 = e1)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (8462) imply:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | (8466) ~ (all_52_14 = e1)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | SIMP: (8466) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | (8467) ~ (all_52_14 = e1)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (5805), (8462) imply:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | (8468) ~ (e2 = e1)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | (8469) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8469) gives:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | (8470) all_56_0 = e3 & op(e3, e3) = e3
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8470) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | (8471) op(e3, e3) = e3
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5813), (8471), (function-axioms) are
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | (8472) all_56_2 = e3 & op(e2, e3) = e3
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8472) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | (8473) all_56_2 = e3
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | (8474) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (8334), (8464), (8474),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | #1377.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | (8475) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8475) gives:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (8476) all_56_14 = e1 & op(e0, e1) = e1
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8476) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (8477) op(e0, e1) = e1
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | (8478) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8478) gives:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (8479) all_56_6 = e1 & op(e1, e3) = e1
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8479) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (8480) all_56_6 = e1
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (8481) op(e1, e3) = e1
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (126), (136),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (160), (162), (164), (167), (168),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (193), (195), (210), (211), (212),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (218), (219), (220),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (228), (229), (230), (236), (238),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (250), (258), (5804), (5813), (7546),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (7547), (7548), (7550), (7557), (8004), (8008),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (8011), (8333), (8336), (8338), (8344), (8467),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (8473), (8477), (8480), (8481), (function-axioms)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #565.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (8482) all_56_7 = e1 & op(e1, e2) = e1
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8482) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (8483) op(e1, e2) = e1
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8333), (8483), (function-axioms) are
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1868.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | (8484) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (8011), (8467), (8484),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | #885.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (8485) all_56_15 = e1 & op(e0, e0) = e1
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8485) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (8486) op(e0, e0) = e1
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7557), (8486), (function-axioms) are
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | (8487) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8487) gives:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | (8488) all_56_6 = e3 & op(e1, e3) = e3
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8455), (8488), (function-axioms) are
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1626.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | (8489) all_56_12 = e3 & op(e0, e3) = e3
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8489) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | (8490) all_56_12 = e3
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | (8491) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (8334), (8464), (8491),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | #1377.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | (8492) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8492) gives:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (8493) all_56_14 = e1 & op(e0, e1) = e1
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8493) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (8494) op(e0, e1) = e1
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | (8495) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8495) gives:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (8496) all_56_6 = e1 & op(e1, e3) = e1
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8496) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (8497) all_56_6 = e1
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (8498) op(e1, e3) = e1
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8499) all_56_15 = e0 & op(e0, e0) = e0
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8499) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8500) all_56_15 = e0
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7556), (8500) are inconsistent by sub-proof
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1071.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8501) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8501) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8502) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8503) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8503) gives:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8504) all_56_2 = e3 & op(e2, e3) = e3
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8504) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8505) all_56_2 = e3
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (126), (136),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (160), (162), (164), (167), (168),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (193), (195), (210), (211), (212),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (218), (219), (220),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (228), (229), (230), (236), (238),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (250), (258), (5804), (5813), (7546),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7547), (7548), (7550), (7557), (8004), (8008),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8011), (8333), (8336), (8338), (8344), (8467),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8494), (8497), (8498), (8505), (function-axioms)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #565.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8506) all_56_3 = e3 & op(e2, e2) = e3
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8506) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8507) op(e2, e2) = e3
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8338), (8507), (function-axioms) are
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8508) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8508) gives:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8509) all_56_5 = e3 & op(e2, e1) = e3
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8509) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8510) all_56_5 = e3
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8502) gives:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8511) all_56_12 = e0 & op(e0, e3) = e0
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8511) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8512) all_56_12 = e0
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8490), (8512) imply:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8513) e3 = e0
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8510), (8513) imply:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8514) all_56_5 = e0
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (169), (218),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (7547), (8011), (8514),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #995.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8515) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8515) gives:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8516) all_56_13 = e0 & op(e0, e2) = e0
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8516) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8517) all_56_13 = e0
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (158), (207), (208), (7557),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8334), (8490), (8517), (function-axioms) are
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #562.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8518) all_56_14 = e0 & op(e0, e1) = e0
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8518) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8519) op(e0, e1) = e0
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (8007), (8519), (function-axioms) are
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1826.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8520) all_56_10 = e3 & op(e2, e0) = e3
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8520) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8521) op(e2, e0) = e3
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7549), (8521), (function-axioms) are
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1086.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (8522) all_56_7 = e1 & op(e1, e2) = e1
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8522) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (8523) op(e1, e2) = e1
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8333), (8523), (function-axioms) are
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1868.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | (8524) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (8011), (8467), (8524),
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | #885.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (8525) all_56_15 = e1 & op(e0, e0) = e1
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8525) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (8526) op(e0, e0) = e1
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7557), (8526), (function-axioms) are
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | (8527) all_54_8 = e0
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (8527) imply:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | (8528) all_52_2 = e0
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (8003), (8528) imply:
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | (8529) $false
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | | CLOSE: (8529) is inconsistent.
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | (8530) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 246.66/42.76 | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 246.66/42.76 | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (8335), (8336), (8530),
% 246.66/42.76 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.76 | | | | | | | | | | | | | | | #755.
% 246.66/42.76 | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | End of split
% 246.66/42.76 | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | (8531) all_20_2 = e3
% 246.66/42.76 | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | COMBINE_EQS: (325), (8531) imply:
% 246.66/42.76 | | | | | | | | | | | | (8532) all_10_2 = e3
% 246.66/42.76 | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | SIMP: (8532) implies:
% 246.66/42.76 | | | | | | | | | | | | (8533) all_10_2 = e3
% 246.66/42.76 | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | REDUCE: (363), (8533) imply:
% 246.66/42.76 | | | | | | | | | | | | (8534) ~ (all_52_8 = e3)
% 246.66/42.76 | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | REDUCE: (364), (8533) imply:
% 246.66/42.76 | | | | | | | | | | | | (8535) ~ (all_52_9 = e3)
% 246.66/42.76 | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | REDUCE: (45), (8533) imply:
% 246.66/42.76 | | | | | | | | | | | | (8536) op(e1, e1) = e3
% 246.66/42.76 | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | BETA: splitting (236) gives:
% 246.66/42.76 | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | (8537) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 246.66/42.76 | | | | | | | | | | | | | & op(e3, e2) = e3)
% 246.66/42.76 | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | BETA: splitting (8537) gives:
% 246.66/42.76 | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | (8538) all_56_0 = e3 & op(e3, e3) = e3
% 246.66/42.76 | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | ALPHA: (8538) implies:
% 246.66/42.76 | | | | | | | | | | | | | | (8539) op(e3, e3) = e3
% 246.66/42.76 | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | REF_CLOSE: (9), (5813), (8539), (function-axioms) are
% 246.66/42.76 | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 246.66/42.76 | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | Case 2:
% 246.66/42.76 | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | (8540) all_56_1 = e3 & op(e3, e2) = e3
% 246.66/42.76 | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | ALPHA: (8540) implies:
% 246.66/42.76 | | | | | | | | | | | | | | (8541) all_56_1 = e3
% 246.66/42.76 | | | | | | | | | | | | | | (8542) op(e3, e2) = e3
% 246.66/42.76 | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 246.66/42.76 | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | (8543) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 246.66/42.76 | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.66/42.76 | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | BETA: splitting (8543) gives:
% 246.66/42.76 | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | Case 1:
% 246.66/42.76 | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | (8544) all_56_2 = e3 & op(e2, e3) = e3
% 246.66/42.76 | | | | | | | | | | | | | | | |
% 246.66/42.76 | | | | | | | | | | | | | | | | ALPHA: (8544) implies:
% 246.66/42.76 | | | | | | | | | | | | | | | | (8545) all_56_2 = e3
% 246.66/42.77 | | | | | | | | | | | | | | | | (8546) op(e2, e3) = e3
% 246.66/42.77 | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (36), (67), (100), (110),
% 246.66/42.77 | | | | | | | | | | | | | | | | (125), (133), (134), (139), (145), (157), (158),
% 246.66/42.77 | | | | | | | | | | | | | | | | (159), (160), (162), (164), (167), (168), (169),
% 246.66/42.77 | | | | | | | | | | | | | | | | (170), (197), (214), (215), (225), (229), (238),
% 246.66/42.77 | | | | | | | | | | | | | | | | (239), (260), (318), (352), (354), (360), (5801),
% 246.66/42.77 | | | | | | | | | | | | | | | | (5803), (5804), (5807), (5813), (7547), (7557),
% 246.66/42.77 | | | | | | | | | | | | | | | | (8536), (8541), (8542), (8545), (8546),
% 246.66/42.77 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.77 | | | | | | | | | | | | | | | | #671.
% 246.66/42.77 | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | Case 2:
% 246.66/42.77 | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | (8547) all_56_3 = e3 & op(e2, e2) = e3
% 246.66/42.77 | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | ALPHA: (8547) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | (8548) op(e2, e2) = e3
% 246.66/42.77 | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (8548), (function-axioms) are
% 246.66/42.77 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 246.66/42.77 | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | End of split
% 246.66/42.77 | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | Case 2:
% 246.66/42.77 | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | (8549) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 246.66/42.77 | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 246.66/42.77 | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (7549), (8535), (8549),
% 246.66/42.77 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.77 | | | | | | | | | | | | | | | #907.
% 246.66/42.77 | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | End of split
% 246.66/42.77 | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | End of split
% 246.66/42.77 | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | Case 2:
% 246.66/42.77 | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | (8550) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 246.66/42.77 | | | | | | | | | | | | | & op(e3, e0) = e3)
% 246.66/42.77 | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | REF_CLOSE: (168), (169), (7548), (8534), (8550),
% 246.66/42.77 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.77 | | | | | | | | | | | | | #1058.
% 246.66/42.77 | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | End of split
% 246.66/42.77 | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | End of split
% 246.66/42.77 | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | End of split
% 246.66/42.77 | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | End of split
% 246.66/42.77 | | | | | | | | |
% 246.66/42.77 | | | | | | | | End of split
% 246.66/42.77 | | | | | | | |
% 246.66/42.77 | | | | | | | Case 2:
% 246.66/42.77 | | | | | | | |
% 246.66/42.77 | | | | | | | | (8551) all_14_2 = e1
% 246.66/42.77 | | | | | | | | (8552) ( ~ (all_14_0 = e3) & op(all_14_1, all_14_1) =
% 246.66/42.77 | | | | | | | | all_14_0 & op(e1, e0) = all_14_1 & $i(all_14_0) &
% 246.66/42.77 | | | | | | | | $i(all_14_1)) | ( ~ (all_14_1 = e2) & op(e1, e0) =
% 246.66/42.77 | | | | | | | | all_14_1 & $i(all_14_1))
% 246.66/42.77 | | | | | | | |
% 246.66/42.77 | | | | | | | | COMBINE_EQS: (327), (8551) imply:
% 246.66/42.77 | | | | | | | | (8553) all_16_2 = e1
% 246.66/42.77 | | | | | | | |
% 246.66/42.77 | | | | | | | | REDUCE: (351), (8551) imply:
% 246.66/42.77 | | | | | | | | (8554) ~ (all_52_3 = e1)
% 246.66/42.77 | | | | | | | |
% 246.66/42.77 | | | | | | | | REDUCE: (362), (8551) imply:
% 246.66/42.77 | | | | | | | | (8555) ~ (all_52_7 = e1)
% 246.66/42.77 | | | | | | | |
% 246.66/42.77 | | | | | | | | REDUCE: (369), (8551) imply:
% 246.66/42.77 | | | | | | | | (8556) ~ (all_52_11 = e1)
% 246.66/42.77 | | | | | | | |
% 246.66/42.77 | | | | | | | | REDUCE: (370), (8551) imply:
% 246.66/42.77 | | | | | | | | (8557) ~ (all_52_12 = e1)
% 246.66/42.77 | | | | | | | |
% 246.66/42.77 | | | | | | | | REDUCE: (371), (8551) imply:
% 246.66/42.77 | | | | | | | | (8558) ~ (all_52_13 = e1)
% 246.66/42.77 | | | | | | | |
% 246.66/42.77 | | | | | | | | REDUCE: (372), (8551) imply:
% 246.66/42.77 | | | | | | | | (8559) ~ (all_52_14 = e1)
% 246.66/42.77 | | | | | | | |
% 246.66/42.77 | | | | | | | | BETA: splitting (207) gives:
% 246.66/42.77 | | | | | | | |
% 246.66/42.77 | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | |
% 246.66/42.77 | | | | | | | | | (8560) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1
% 246.66/42.77 | | | | | | | | | & op(e0, e2) = e1)
% 246.66/42.77 | | | | | | | | |
% 246.66/42.77 | | | | | | | | | REF_CLOSE: (158), (159), (8554), (8555), (8560),
% 246.66/42.77 | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.77 | | | | | | | | | #1377.
% 246.66/42.77 | | | | | | | | |
% 246.66/42.77 | | | | | | | | Case 2:
% 246.66/42.77 | | | | | | | | |
% 246.66/42.77 | | | | | | | | | (8561) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1
% 246.66/42.77 | | | | | | | | | & op(e0, e0) = e1)
% 246.66/42.77 | | | | | | | | |
% 246.66/42.77 | | | | | | | | | BETA: splitting (8561) gives:
% 246.66/42.77 | | | | | | | | |
% 246.66/42.77 | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | (8562) all_56_14 = e1 & op(e0, e1) = e1
% 246.66/42.77 | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | ALPHA: (8562) implies:
% 246.66/42.77 | | | | | | | | | | (8563) op(e0, e1) = e1
% 246.66/42.77 | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | REF_CLOSE: (157), (8556), (8563), (function-axioms) are
% 246.66/42.77 | | | | | | | | | | inconsistent by sub-proof #1700.
% 246.66/42.77 | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | Case 2:
% 246.66/42.77 | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | (8564) all_56_15 = e1 & op(e0, e0) = e1
% 246.66/42.77 | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | ALPHA: (8564) implies:
% 246.66/42.77 | | | | | | | | | | (8565) all_56_15 = e1
% 246.66/42.77 | | | | | | | | | | (8566) op(e0, e0) = e1
% 246.66/42.77 | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | BETA: splitting (55) gives:
% 246.66/42.77 | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | (8567) ~ (all_16_2 = e1)
% 246.66/42.77 | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | REDUCE: (8553), (8567) imply:
% 246.66/42.77 | | | | | | | | | | | (8568) $false
% 246.66/42.77 | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | CLOSE: (8568) is inconsistent.
% 246.66/42.77 | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | Case 2:
% 246.66/42.77 | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | (8569) ( ~ (all_16_0 = e2) & op(all_16_1, all_16_1) =
% 246.66/42.77 | | | | | | | | | | | all_16_0 & op(e1, e0) = all_16_1 & $i(all_16_0)
% 246.66/42.77 | | | | | | | | | | | & $i(all_16_1)) | ( ~ (all_16_1 = e3) & op(e1,
% 246.66/42.77 | | | | | | | | | | | e0) = all_16_1 & $i(all_16_1))
% 246.66/42.77 | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | BETA: splitting (61) gives:
% 246.66/42.77 | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | (8570) ~ (all_20_2 = e3)
% 246.66/42.77 | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | REDUCE: (325), (8570) imply:
% 246.66/42.77 | | | | | | | | | | | | (8571) ~ (all_10_2 = e3)
% 246.66/42.77 | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | BETA: splitting (64) gives:
% 246.66/42.77 | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | (8572) ~ (all_22_2 = e0)
% 246.66/42.77 | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | REDUCE: (251), (8572) imply:
% 246.66/42.77 | | | | | | | | | | | | | (8573) ~ (all_10_2 = e0)
% 246.66/42.77 | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | BETA: splitting (194) gives:
% 246.66/42.77 | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | (8574) all_54_10 = e3
% 246.66/42.77 | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | REF_CLOSE: (336), (8571), (8574) are inconsistent by
% 246.66/42.77 | | | | | | | | | | | | | | sub-proof #906.
% 246.66/42.77 | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | Case 2:
% 246.66/42.77 | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | (8575) ~ (all_54_10 = e3)
% 246.66/42.77 | | | | | | | | | | | | | | (8576) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 246.66/42.77 | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | BETA: splitting (8576) gives:
% 246.66/42.77 | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | (8577) all_54_10 = e2
% 246.66/42.77 | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | REF_CLOSE: (336), (375), (8577) are inconsistent by sub-proof
% 246.66/42.77 | | | | | | | | | | | | | | | #905.
% 246.66/42.77 | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | Case 2:
% 246.66/42.77 | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | (8578) ~ (all_54_10 = e2)
% 246.66/42.77 | | | | | | | | | | | | | | | (8579) all_54_10 = e1 | all_54_10 = e0
% 246.66/42.77 | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | BETA: splitting (8579) gives:
% 246.66/42.77 | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | (8580) all_54_10 = e1
% 246.66/42.77 | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (8580) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | (8581) all_10_2 = e1
% 246.66/42.77 | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | SIMP: (8581) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | (8582) all_10_2 = e1
% 246.66/42.77 | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | REDUCE: (350), (8582) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | (8583) ~ (all_52_2 = e1)
% 246.66/42.77 | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | REDUCE: (363), (8582) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | (8584) ~ (all_52_8 = e1)
% 246.66/42.77 | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | REDUCE: (8571), (8582) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | (8585) ~ (e3 = e1)
% 246.66/42.77 | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | REDUCE: (375), (8582) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | (8586) ~ (e2 = e1)
% 246.66/42.77 | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | REDUCE: (45), (8582) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | (8587) op(e1, e1) = e1
% 246.66/42.77 | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | (8588) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 246.66/42.77 | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 246.66/42.77 | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | BETA: splitting (8588) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | (8589) all_56_0 = e1 & op(e3, e3) = e1
% 246.66/42.77 | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | ALPHA: (8589) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | (8590) op(e3, e3) = e1
% 246.66/42.77 | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5813), (8590), (function-axioms) are
% 246.66/42.77 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 246.66/42.77 | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.77 | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | (8591) all_56_2 = e1 & op(e2, e3) = e1
% 246.66/42.77 | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | ALPHA: (8591) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | (8592) all_56_2 = e1
% 246.66/42.77 | | | | | | | | | | | | | | | | | | (8593) op(e2, e3) = e1
% 246.66/42.77 | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | (8594) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | BETA: splitting (8594) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | (8595) all_56_0 = e1 & op(e3, e3) = e1
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | ALPHA: (8595) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | (8596) op(e3, e3) = e1
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | (8592), (8593), (8596), (function-axioms) are
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #965.
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | (8597) all_56_1 = e1 & op(e3, e2) = e1
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | ALPHA: (8597) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | (8598) all_56_1 = e1
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | (8599) op(e3, e2) = e1
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (8593) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | (8600) all_52_1 = e1
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e1,
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (8599) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | (8601) all_52_4 = e1
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (8600) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | (8602) ~ (all_52_2 = e1)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (8600) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | (8603) ~ (all_52_3 = e1)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (8600) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | (8604) ~ (all_52_9 = e1)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | SIMP: (8604) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | (8605) ~ (all_52_9 = e1)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8600) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | (8606) ~ (all_52_13 = e1)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (8601) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | (8607) ~ (all_52_6 = e1)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | SIMP: (8607) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | (8608) ~ (all_52_6 = e1)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (8601) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | (8609) ~ (all_52_7 = e1)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (8601) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | (8610) ~ (all_52_8 = e1)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (8601) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | (8611) ~ (all_52_12 = e1)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (8601) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | (8612) ~ (all_4_2 = e1)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | SIMP: (8612) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | (8613) ~ (all_4_2 = e1)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | (8614) ~ (all_46_2 = e2)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5803), (8614) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | (8615) $false
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | CLOSE: (8615) is inconsistent.
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | (8616) ( ~ (all_46_0 = e0) & op(all_46_1, all_46_1) =
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | all_46_0 & op(e2, e3) = all_46_1 & $i(all_46_0)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | & $i(all_46_1)) | ( ~ (all_46_1 = e1) & op(e2,
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | e3) = all_46_1 & $i(all_46_1))
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8616) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | (8617) ~ (all_46_0 = e0) & op(all_46_1, all_46_1) =
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | all_46_0 & op(e2, e3) = all_46_1 & $i(all_46_0) &
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8617) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | (8618) ~ (all_46_0 = e0)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | (8619) op(e2, e3) = all_46_1
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | (8620) op(all_46_1, all_46_1) = all_46_0
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5801) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | (8621) ~ (all_12_0 = e1) & op(all_12_1, all_12_1) =
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | all_12_0 & op(e2, e3) = all_12_1 & $i(all_12_0) &
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8621) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | (8622) ~ (all_12_0 = e1)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | (8623) op(e2, e3) = all_12_1
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | (8624) op(all_12_1, all_12_1) = all_12_0
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8587), (8593), (8619), (8620), (8622), (8623),
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | (8624), (function-axioms) are inconsistent by
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #561.
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | (8625) ~ (all_12_1 = e0) & op(e2, e3) = all_12_1 &
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8625) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | (8626) ~ (all_12_1 = e0)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | (8627) op(e2, e3) = all_12_1
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_46_1,
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (8593), (8619) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | (8628) all_46_1 = e1
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | all_46_1, e3, e2, simplifying with (8619), (8627)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | (8629) all_46_1 = all_12_1
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8628), (8629) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | (8630) all_12_1 = e1
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8630) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | (8631) all_12_1 = e1
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8620), (8628) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | (8632) op(e1, e1) = all_46_0
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_46_0,
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (8587), (8632) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | (8633) all_46_0 = e1
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | (8634) ~ (all_32_2 = e0)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (314), (8634) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | (8635) ~ (all_4_2 = e0)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | (8636) all_54_5 = e3
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (8636) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | (8637) all_4_2 = e3
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (8637) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | (8638) $false
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8638) is inconsistent.
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | (8639) ~ (all_54_5 = e3)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | (8640) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8640) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (8641) all_54_5 = e2
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (8641) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (8642) all_4_2 = e2
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (8642) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (8643) ~ (all_52_9 = e2)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (8642) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (8644) ~ (all_52_13 = e2)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (8642) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (8645) ~ (e3 = e2)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (8642) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (8646) op(e2, e2) = e2
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8647) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (5808), (8643), (8647),
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | #741.
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8648) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8648) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8649) all_56_8 = e2 & op(e1, e1) = e2
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8649) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8650) op(e1, e1) = e2
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8587), (8650), (function-axioms) are
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8651) all_56_14 = e2 & op(e0, e1) = e2
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8651) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8652) all_56_14 = e2
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8653) op(e0, e1) = e2
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8654) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8654) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8655) all_56_9 = e2 & op(e3, e0) = e2
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8655) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8656) all_56_9 = e2
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (230), (232),
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (5813), (8592), (8593),
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8656), (function-axioms) are inconsistent by
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #557.
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8657) all_56_10 = e2 & op(e2, e0) = e2
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8657) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8658) op(e2, e0) = e2
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8644), (8658), (function-axioms) are
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1493.
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8659) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8659) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8660) all_56_11 = e2 & op(e1, e0) = e2
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8660) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8661) all_56_11 = e2
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8662) op(e1, e0) = e2
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (8653) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8663) all_52_11 = e2
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (8662) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8664) all_52_14 = e2
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (8664) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8665) ~ (all_52_6 = e2)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (8663) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8666) ~ (all_52_7 = e2)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8569) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8667) ~ (all_16_0 = e2) & op(all_16_1, all_16_1) =
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_16_0 & op(e1, e0) = all_16_1 & $i(all_16_0) &
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8667) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8668) ~ (all_16_0 = e2)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8669) op(e1, e0) = all_16_1
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8670) op(all_16_1, all_16_1) = all_16_0
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8552), (8646), (8662), (8668), (8669), (8670),
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #556.
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8671) ~ (all_16_1 = e3) & op(e1, e0) = all_16_1 &
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8671) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8672) ~ (all_16_1 = e3)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8673) op(e1, e0) = all_16_1
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8552) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8674) ~ (all_14_0 = e3) & op(all_14_1, all_14_1) =
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_14_0 & op(e1, e0) = all_14_1 & $i(all_14_0) &
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8674) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8675) ~ (all_14_0 = e3)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8676) op(e1, e0) = all_14_1
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8677) op(all_14_1, all_14_1) = all_14_0
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_16_1,
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (8662), (8673) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8678) all_16_1 = e2
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_16_1, e0, e1, simplifying with (8673), (8676)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8679) all_16_1 = all_14_1
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8678), (8679) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8680) all_14_1 = e2
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8677), (8680) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8681) op(e2, e2) = all_14_0
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_14_0,
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (8646), (8681) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8682) all_14_0 = e2
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8683) all_54_9 = e3
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (8683) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8684) all_52_6 = e3
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8684) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8685) all_52_6 = e3
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (8685) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8686) ~ (all_52_2 = e3)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (8685) imply:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8687) ~ (all_52_7 = e3)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8687) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8688) ~ (all_52_7 = e3)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8689) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8689) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8690) all_56_6 = e3 & op(e1, e3) = e3
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8686), (8690), (function-axioms) are
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1626.
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8691) all_56_7 = e3 & op(e1, e2) = e3
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8691) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8692) all_56_7 = e3
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8693) op(e1, e2) = e3
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8694) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8598), (8646), (8694),
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #555.
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8695) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8695) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8696) all_56_7 = e0 & op(e1, e2) = e0
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8696) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8697) all_56_7 = e0
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8692), (8697) are inconsistent by sub-proof
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1763.
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8698) all_56_13 = e0 & op(e0, e2) = e0
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8698) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8699) all_56_13 = e0
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8700) op(e0, e2) = e0
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8701) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8701) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8702) all_56_12 = e3 & op(e0, e3) = e3
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8702) implies:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8703) all_56_12 = e3
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8704) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (158), (169), (207), (208),
% 246.66/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5808), (8555), (8566), (8599), (8699), (8700),
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8703), (8704), (function-axioms) are inconsistent
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #553.
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8705) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8705) gives:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8706) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8706) implies:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8707) op(e1, e2) = all_57_20
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8708) op(e1, all_57_20) = e2
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8709) (all_57_28 = e1 & op(e2, e2) = e1) | ( ~
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & op(e2, e1) = all_57_23 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (5805), (8613), (8693), (8707),
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8708), (8709), (function-axioms) are inconsistent
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #552.
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8710) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8710) implies:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8711) op(e0, e1) = all_57_24
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8712) op(e0, all_57_24) = e1
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8713) (all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8713) gives:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8714) all_57_26 = e0 & op(e3, e3) = e0
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8714) implies:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8715) op(e3, e3) = e0
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (8715), (function-axioms) are
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #808.
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24, e1, e0, simplifying with (8653), (8711)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8716) all_57_24 = e2
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8712), (8716) imply:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8717) op(e0, e2) = e1
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8555), (8717), (function-axioms) are
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1378.
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8718) all_56_13 = e3 & op(e0, e2) = e3
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8718) implies:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8719) op(e0, e2) = e3
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8688), (8719), (function-axioms) are
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #669.
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8720) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (8566), (8652), (8720),
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #550.
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8721) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8552), (8587), (8672), (8673), (8721),
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #547.
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8722) ~ (all_54_9 = e3)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8723) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (258), (8722) imply:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8724) ~ (all_52_6 = e3)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8725) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (373), (8598), (8725),
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #546.
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8726) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8726) gives:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8727) all_56_7 = e3 & op(e1, e2) = e3
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8727) implies:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8728) op(e1, e2) = e3
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8724), (8728), (function-axioms) are
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1702.
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8729) all_56_13 = e3 & op(e0, e2) = e3
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8729) implies:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8730) all_56_13 = e3
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8731) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8731) gives:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8732) all_56_6 = e3 & op(e1, e3) = e3
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8732) implies:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8733) all_56_6 = e3
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8734) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8734) gives:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8735) all_56_6 = e0 & op(e1, e3) = e0
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8735) implies:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8736) all_56_6 = e0
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8733), (8736) are inconsistent by sub-proof
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1575.
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8737) all_56_7 = e0 & op(e1, e2) = e0
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8737) implies:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8738) all_56_7 = e0
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8739) all_56_15 = e0 & op(e0, e0) = e0
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8565), (8739) are inconsistent by sub-proof
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #855.
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8740) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8740) implies:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8741) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8741) gives:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8742) all_56_12 = e0 & op(e0, e3) = e0
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8742) implies:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8743) all_56_12 = e0
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8744) op(e0, e3) = e0
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8723) gives:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8745) all_54_9 = e2
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (8665), (8745) are inconsistent by
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1150.
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8746) ~ (all_54_9 = e2)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8747) all_54_9 = e1 | all_54_9 = e0
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8747) gives:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8748) all_54_9 = e1
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (8608), (8748) are inconsistent by
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1026.
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8749) all_54_9 = e0
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (8749) imply:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8750) all_52_6 = e0
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8750) implies:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8751) all_52_6 = e0
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (8751) imply:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8752) ~ (all_52_7 = e0)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8752) implies:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8753) ~ (all_52_7 = e0)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8724), (8751) imply:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8754) ~ (e3 = e0)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8665), (8751) imply:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8755) ~ (e2 = e0)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8608), (8751) imply:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8756) ~ (e1 = e0)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (8751) imply:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8757) op(e1, e2) = e0
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8758) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8758) gives:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8759) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8759) gives:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8760) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (268), (349), (8613), (8635), (8640),
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8760), (function-axioms) are inconsistent by
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1843.
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8761) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (36), (158), (207), (373), (8555),
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8652), (8744), (8761), (function-axioms) are
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #545.
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8762) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8762) gives:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8763) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8763) gives:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8764) all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8764) implies:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8765) op(e3, e2) = e3
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (170), (191), (248), (8555), (8666),
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8753), (8765), (function-axioms) are inconsistent
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1460.
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8766) all_57_19 = e3 & all_57_31 = e2 & ~ (all_57_21 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e0, e2) =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e0) = e2 & $i(all_57_21) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8766) implies:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8767) op(e0, e0) = e2
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (207), (8652), (8730), (8744),
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8767), (function-axioms) are inconsistent by
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1633.
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8768) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8768) gives:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8769) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8769) implies:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8770) op(e1, e2) = e1
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8757), (8770), (function-axioms) are
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1719.
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8771) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8771) gives:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8772) all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_30)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8772) implies:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8773) op(e0, e0) = e2
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (207), (8652), (8730), (8744),
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8773), (function-axioms) are inconsistent by
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1633.
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8774) all_57_22 = e3 & all_57_28 = e1 & ~ (all_57_23 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & $i(all_57_23) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8774) implies:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8775) op(e2, e2) = e1
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (8613), (8775), (function-axioms) are
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1867.
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8776) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8776) gives:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8777) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8777) gives:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8778) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8778) gives:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8779) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8779) implies:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8780) all_57_31 = e1
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8781) all_57_22 = e3
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8782) ~ (all_57_26 = e1)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8783) ~ (all_57_24 = e0)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8784) op(e3, e1) = e3
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8785) op(e3, e3) = all_57_26
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8786) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8786) gives:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8787) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16))) & ((all_57_30 = e3 & op(e1,
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e3) | ( ~ (all_57_17 = e1) & op(e1,
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_17 & $i(all_57_17))) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8787) implies:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8788) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18))
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8566), (8744), (8788), (function-axioms) are
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #883.
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8789) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e2 & op(e3, e3) = e2) | ( ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & op(e3, e2) = all_57_19 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19))) & ((all_57_30 = e2 & op(e1,
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_20 = e1) & op(e1,
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_20 & $i(all_57_20))) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)))
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8789) implies:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8790) op(e2, e1) = all_57_23
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8791) op(e2, e3) = all_57_16
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8792) op(e2, all_57_16) = e3
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8793) (all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (123), (165), (169), (8587), (8593), (8784),
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8790), (8791), (8792), (8793), (function-axioms)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #544.
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8794) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8780), (8781), (8782), (8783), (8785), (8794),
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #543.
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8795) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8795) implies:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8796) op(e3, e3) = e1
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (233), (235), (8592),
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8743), (8796), (function-axioms) are inconsistent
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1435.
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8797) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8797) gives:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8798) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (239), (8744), (8798), (function-axioms) are
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #882.
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8799) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8799) gives:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8800) all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8800) implies:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8801) op(e2, e2) = e0
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8646), (8801), (function-axioms) are
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1835.
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8802) all_57_25 = e3 & all_57_30 = e0 & ~ (all_57_26 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e3, e3) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_26) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8802) implies:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8803) op(e1, e1) = e0
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (214), (215), (8733),
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8738), (8757), (8803), (function-axioms) are
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #989.
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8804) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8804) gives:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8805) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (8805), (function-axioms) are
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #803.
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8806) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8806) gives:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8807) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8807) implies:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8808) op(e2, e0) = e2
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8644), (8808), (function-axioms) are
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1493.
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8809) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8809) gives:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8810) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8810) implies:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8811) op(e1, e0) = e1
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8559), (8811), (function-axioms) are
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1856.
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8812) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8812) implies:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8813) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (158), (160),
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (214), (233), (235), (373), (5813), (8559),
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8587), (8592), (8608), (8613), (8743), (8753),
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8813), (function-axioms) are inconsistent by
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #540.
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8814) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8814) gives:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8815) all_56_13 = e0 & op(e0, e2) = e0
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8730), (8815) are inconsistent by sub-proof
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1680.
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8816) all_56_14 = e0 & op(e0, e1) = e0
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8816) implies:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8817) all_56_14 = e0
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8652), (8817) are inconsistent by sub-proof
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1042.
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8818) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8587), (8661), (8818),
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #539.
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8819) all_56_7 = e3 & op(e1, e2) = e3
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8819) implies:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8820) op(e1, e2) = e3
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8724), (8820), (function-axioms) are
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1702.
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8821) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8552), (8587), (8672), (8673), (8821),
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #547.
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8822) ~ (all_14_1 = e2) & op(e1, e0) = all_14_1 &
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8822) implies:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8823) ~ (all_14_1 = e2)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8824) op(e1, e0) = all_14_1
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8662), (8673), (8823), (8824), (function-axioms)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #831.
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8825) all_56_15 = e2 & op(e0, e0) = e2
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8825) implies:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8826) op(e0, e0) = e2
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8566), (8826), (function-axioms) are
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (8827) all_54_5 = e1 | all_54_5 = e0
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (8613), (8635), (8827) are inconsistent by
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1845.
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | (8828) all_32_2 = e0
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (8828) imply:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | (8829) all_4_2 = e0
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (8829) imply:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | (8830) ~ (all_52_6 = e0)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (356), (8829) imply:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | (8831) ~ (all_52_7 = e0)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (8829) imply:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | (8832) ~ (all_52_9 = e0)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (8829) imply:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | (8833) ~ (all_52_13 = e0)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (8829) imply:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | (8834) ~ (e3 = e0)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8613), (8829) imply:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | (8835) ~ (e1 = e0)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (8829) imply:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | (8836) op(e2, e2) = e0
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | (8837) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8837) gives:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (8838) all_56_1 = e0 & op(e3, e2) = e0
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8838) implies:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (8839) op(e3, e2) = e0
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (352), (8836), (8839),
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | #1507.
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (8840) all_56_3 = e0 & op(e2, e2) = e0
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8840) implies:
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (8841) all_56_3 = e0
% 246.66/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8842) all_54_2 = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (8842) imply:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8843) all_52_8 = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8843) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8844) all_52_8 = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (8844) imply:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8845) ~ (all_52_9 = e3)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8845) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8846) ~ (all_52_9 = e3)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (8844) imply:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8847) ~ (all_52_11 = e3)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8847) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8848) ~ (all_52_11 = e3)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (8844) imply:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8849) ~ (all_52_12 = e3)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8849) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8850) ~ (all_52_12 = e3)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8851) all_54_3 = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (8851) imply:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8852) all_52_12 = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8850), (8852) imply:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8853) $false
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8853) is inconsistent.
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8854) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8855) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (373), (8592), (8855),
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #537.
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8856) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8856) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8857) all_56_5 = e3 & op(e2, e1) = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8857) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8858) op(e2, e1) = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8846), (8858), (function-axioms) are
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1405.
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8859) all_56_10 = e3 & op(e2, e0) = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8859) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8860) all_56_10 = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8861) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8861) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8862) all_56_4 = e0 & op(e3, e1) = e0
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8862) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8863) all_56_4 = e0
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (157), (165), (220), (8587), (8846),
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8848), (8863), (function-axioms) are inconsistent
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #536.
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8864) all_56_5 = e0 & op(e2, e1) = e0
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8864) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8865) all_56_5 = e0
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (164), (222), (223), (8558),
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8836), (8841), (8860), (8865), (function-axioms)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #845.
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8866) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8866) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8867) all_56_8 = e0 & op(e1, e1) = e0
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8867) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8868) op(e1, e1) = e0
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8587), (8868), (function-axioms) are
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1857.
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8869) all_56_14 = e0 & op(e0, e1) = e0
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8869) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8870) op(e0, e1) = e0
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8854) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8871) all_54_3 = e2
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (5809), (8871) are inconsistent by
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1707.
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8872) all_54_3 = e1 | all_54_3 = e0
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8873) all_54_6 = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (8846), (8873) are inconsistent by
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1595.
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8874) ~ (all_54_6 = e3)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8875) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8875) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8876) all_54_6 = e2
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (8876) imply:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8877) all_52_9 = e2
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8877) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8878) all_52_9 = e2
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (8878) imply:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8879) ~ (all_52_11 = e2)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8879) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8880) ~ (all_52_11 = e2)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (8878) imply:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8881) ~ (all_52_13 = e2)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8881) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8882) ~ (all_52_13 = e2)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8883) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8883) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8884) all_56_4 = e3 & op(e3, e1) = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8884) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8885) all_56_4 = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8886) op(e3, e1) = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8887) all_54_7 = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (8887) imply:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8888) all_52_13 = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8888) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8889) all_52_13 = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (8889) imply:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8890) ~ (all_52_14 = e3)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8890) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8891) ~ (all_52_14 = e3)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8892) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8892) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8893) all_56_4 = e2 & op(e3, e1) = e2
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8893) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8894) op(e3, e1) = e2
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (169), (8886), (8894), (function-axioms) are
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1722.
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8895) all_56_5 = e2 & op(e2, e1) = e2
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8895) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8896) all_56_5 = e2
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8897) op(e2, e1) = e2
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8898) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8898) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8899) all_56_9 = e2 & op(e3, e0) = e2
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8899) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8900) all_56_9 = e2
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (230), (232), (5813),
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8885), (8886), (8900), (function-axioms) are
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #558.
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8901) all_56_10 = e2 & op(e2, e0) = e2
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8901) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8902) op(e2, e0) = e2
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8882), (8902), (function-axioms) are
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1493.
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8903) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8903) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8904) all_56_11 = e2 & op(e1, e0) = e2
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8904) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8905) all_56_11 = e2
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8872) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8906) all_54_3 = e1
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (8557), (8906) are inconsistent by
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1706.
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8907) all_54_3 = e0
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (8907) imply:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8908) all_52_12 = e0
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8908) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8909) all_52_12 = e0
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (8909) imply:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8910) ~ (all_52_14 = e0)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8910) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8911) ~ (all_52_14 = e0)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (8909) imply:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8912) op(e3, e0) = e0
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8913) all_54_11 = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (8891), (8913) are inconsistent by
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1184.
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8914) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8914) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8915) all_54_11 = e2
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (8915) imply:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8916) all_52_14 = e2
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8916) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8917) all_52_14 = e2
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (8917) imply:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8918) ~ (all_52_6 = e2)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (8917) imply:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8919) op(e1, e0) = e2
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8920) all_54_9 = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (8920) imply:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8921) all_52_6 = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8921) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8922) all_52_6 = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (8922) imply:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8923) ~ (all_52_2 = e3)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (8922) imply:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8924) ~ (all_52_7 = e3)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8924) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8925) ~ (all_52_7 = e3)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (8922) imply:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8926) op(e1, e2) = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8927) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8927) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8928) all_56_0 = e3 & op(e3, e3) = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8928) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8929) op(e3, e3) = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5813), (8929), (function-axioms) are
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8930) all_56_2 = e3 & op(e2, e3) = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8930) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8931) all_56_2 = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (157), (158),
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (167), (209), (222), (223), (224), (229),
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (373), (5804), (5813), (8554), (8566),
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8836), (8848), (8925), (8931), (function-axioms)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #534.
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8932) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8932) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8933) all_56_6 = e3 & op(e1, e3) = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8923), (8933), (function-axioms) are
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1626.
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8934) all_56_12 = e3 & op(e0, e3) = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8934) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8935) all_56_12 = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8936) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8936) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8937) all_56_6 = e0 & op(e1, e3) = e0
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8937) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8938) all_56_6 = e0
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8939) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8939) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8940) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16))) & ((all_57_30 = e3 & op(e1,
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e3) | ( ~ (all_57_17 = e1) & op(e1,
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_17 & $i(all_57_17))) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8940) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8941) (all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16))
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8942) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8942) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8943) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8943) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8944) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8944) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8945) all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_17) & $i(all_57_28)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8945) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8946) op(e2, e3) = e2
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (373), (8593), (8941), (8946),
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #533.
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8947) all_57_16 = e2 & all_57_31 = e3 & ~ (all_57_18 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e0, e3) = all_57_18 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_28)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8947) implies:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8948) op(e2, e3) = e2
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (373), (8593), (8941), (8948),
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #533.
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8949) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (36), (160), (162),
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (167), (168), (169), (170), (236), (238),
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (373), (5804), (5813), (8559), (8583),
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8587), (8608), (8613), (8850), (8949),
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #532.
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8950) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8950) gives:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8951) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5813), (8951), (function-axioms) are inconsistent
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #633.
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8952) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.66/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (162), (206), (210),
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8608), (8860), (8897), (8905), (8919), (8952),
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #711.
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8953) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8953) gives:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8954) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8954) gives:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8955) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8955) gives:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8956) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8956) implies:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8957) ~ (all_57_24 = e0)
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8958) op(e0, e1) = all_57_24
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8870), (8957), (8958), (function-axioms) are
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1712.
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8959) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8959) implies:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8960) ~ (all_57_22 = e3)
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8961) op(e3, e1) = all_57_22
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8886), (8960), (8961), (function-axioms)
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1059.
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8962) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8962) gives:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8963) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8963) implies:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8964) ~ (all_57_24 = e0)
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8965) op(e0, e1) = all_57_24
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8870), (8964), (8965), (function-axioms) are
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1712.
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8966) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8912), (8966), (function-axioms) are
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #530.
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8967) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8967) gives:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8968) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (8968), (function-axioms) are
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #803.
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8969) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8969) gives:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8970) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8970) implies:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8971) ~ (all_57_28 = e0)
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8972) op(e2, e2) = all_57_28
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8836), (8971), (8972), (function-axioms) are
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1781.
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8973) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8973) gives:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8974) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8974) implies:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8975) op(e1, e0) = e1
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8559), (8975), (function-axioms) are
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1856.
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8976) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (160),
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (167), (214), (229), (233), (235), (373),
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5804), (5813), (8559), (8587), (8592), (8608),
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8613), (8831), (8897), (8935), (8976),
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #529.
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8977) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e2 & op(e3, e3) = e2) | ( ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & op(e3, e2) = all_57_19 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19))) & ((all_57_30 = e2 & op(e1,
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_20 = e1) & op(e1,
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_20 & $i(all_57_20))) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)))
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8977) implies:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8978) op(e2, e1) = all_57_23
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8979) op(e2, e3) = all_57_16
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8980) op(e2, all_57_16) = e3
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8981) (all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (123), (165), (169), (8587), (8593), (8886),
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8978), (8979), (8980), (8981), (function-axioms)
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #544.
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8982) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8982) gives:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8983) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8983) implies:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8984) op(e1, e2) = all_57_20
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8985) op(e1, all_57_20) = e2
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8986) (all_57_28 = e1 & op(e2, e2) = e1) | ( ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & op(e2, e1) = all_57_23 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (5805), (8613), (8926), (8984),
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8985), (8986), (function-axioms) are inconsistent
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #552.
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8987) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8987) implies:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8988) (all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8989) (all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8989) gives:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8990) all_57_26 = e0 & op(e3, e3) = e0
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8990) implies:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8991) op(e3, e3) = e0
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (8991), (function-axioms) are
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #808.
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8992) ~ (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8992) implies:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8993) ~ (all_57_25 = e3)
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8994) op(e3, e0) = all_57_25
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8988) gives:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8995) all_57_30 = e0 & op(e1, e1) = e0
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8995) implies:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8996) op(e1, e1) = e0
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (214), (215),
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (8559), (8938), (8996), (function-axioms)
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #884.
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8997) ~ (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8997) implies:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8998) ~ (all_57_29 = e1)
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8999) op(e1, e0) = all_57_29
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9000) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9000) gives:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9001) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9001) gives:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9002) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8593), (9002), (function-axioms) are
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #664.
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9003) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (36), (160), (162),
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (167), (168), (169), (170), (236), (238),
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (373), (5804), (5813), (8559), (8583),
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8587), (8608), (8613), (8850), (9003),
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #532.
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9004) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9004) gives:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9005) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9005) gives:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9006) all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9006) implies:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9007) op(e1, e1) = e2
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8587), (9007), (function-axioms) are
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9008) all_57_19 = e3 & all_57_31 = e2 & ~ (all_57_21 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e0, e2) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e0) = e2 & $i(all_57_21) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9008) implies:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9009) op(e0, e0) = e2
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (206), (210), (8860),
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8905), (8919), (9009), (function-axioms) are
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1664.
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9010) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (162), (206), (210),
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8608), (8860), (8897), (8905), (8919), (9010),
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #711.
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9011) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9011) gives:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9012) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9012) gives:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9013) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9013) gives:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9014) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9014) implies:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9015) ~ (all_57_24 = e0)
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9016) op(e0, e1) = all_57_24
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8870), (9015), (9016), (function-axioms) are
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1712.
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9017) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9017) implies:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9018) op(e3, e3) = e1
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (229), (233),
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (5804), (8592), (8935), (9018),
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1395.
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9019) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9019) gives:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9020) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9020) implies:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9021) ~ (all_57_24 = e0)
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9022) op(e0, e1) = all_57_24
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8870), (9021), (9022), (function-axioms) are
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1712.
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9023) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8993), (8994), (9023), (function-axioms) are
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #722.
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9024) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9024) gives:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9025) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (9025), (function-axioms) are
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #803.
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9026) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9026) gives:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9027) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9027) implies:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9028) ~ (all_57_28 = e0)
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9029) op(e2, e2) = all_57_28
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8836), (9028), (9029), (function-axioms) are
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1781.
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9030) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9030) gives:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9031) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9031) implies:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9032) op(e1, e0) = e1
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8998), (8999), (9032), (function-axioms) are
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9033) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (160),
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (167), (214), (229), (233), (235), (373),
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5804), (5813), (8559), (8587), (8592), (8608),
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8613), (8831), (8897), (8935), (9033),
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #529.
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9034) all_56_7 = e0 & op(e1, e2) = e0
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9034) implies:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9035) all_56_7 = e0
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (213), (216),
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (373), (8587), (8598),
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8836), (8905), (9035), (function-axioms) are
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #525.
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9036) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9036) gives:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9037) all_56_8 = e0 & op(e1, e1) = e0
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9037) implies:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9038) op(e1, e1) = e0
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8587), (9038), (function-axioms) are
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1857.
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9039) all_56_11 = e0 & op(e1, e0) = e0
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9039) implies:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9040) all_56_11 = e0
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8905), (9040) imply:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9041) e2 = e0
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8896), (9041) imply:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9042) all_56_5 = e0
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (164), (222), (223), (8558),
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8836), (8841), (8860), (9042), (function-axioms)
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #845.
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9043) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (8608), (8830), (8918), (9043) are
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #805.
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9044) all_54_11 = e1 | all_54_11 = e0
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (250), (270), (8557), (8559), (8872),
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9044) are inconsistent by sub-proof #1704.
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9045) all_56_15 = e2 & op(e0, e0) = e2
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9045) implies:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9046) op(e0, e0) = e2
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (36), (157), (160),
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (164), (167), (169), (206), (219), (238),
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (373), (5804), (5808), (5813), (8559),
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8587), (8608), (8613), (8880), (8882), (9046),
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #782.
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9047) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (157), (8587), (8880), (9047),
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #788.
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9048) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (8558), (8833), (8882), (9048) are
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1180.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9049) all_56_5 = e3 & op(e2, e1) = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9049) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9050) op(e2, e1) = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8846), (9050), (function-axioms) are
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1405.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9051) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (8587), (8848), (9051),
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1027.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9052) all_54_6 = e1 | all_54_6 = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (8605), (8832), (9052) are inconsistent by
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #523.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9053) ~ (all_54_2 = e3)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9054) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (271), (9053) imply:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9055) ~ (all_52_8 = e3)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9056) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (5813), (8598), (9056),
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #522.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9057) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9057) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9058) all_56_4 = e3 & op(e3, e1) = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9058) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9059) op(e3, e1) = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9055), (9059), (function-axioms) are
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1599.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9060) all_56_9 = e3 & op(e3, e0) = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9060) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9061) all_56_9 = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9062) op(e3, e0) = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9063) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (170), (352), (5813), (8836), (9063),
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #637.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9064) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9064) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9065) all_56_4 = e0 & op(e3, e1) = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9065) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9066) all_56_4 = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9067) all_56_15 = e0 & op(e0, e0) = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9067) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9068) all_56_15 = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8565), (9068) imply:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9069) e1 = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8592), (9069) imply:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9070) all_56_2 = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (167), (222),
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (373), (5804), (8836), (9070),
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #725.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9071) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9071) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9072) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9073) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9073) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9074) all_56_9 = e0 & op(e3, e0) = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9074) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9075) op(e3, e0) = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9062), (9075), (function-axioms) are
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #531.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9076) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9076) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9077) all_56_10 = e0 & op(e2, e0) = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9077) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9078) all_56_10 = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9079) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9079) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9080) all_56_9 = e2 & op(e3, e0) = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9080) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9081) all_56_9 = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (169), (236), (5813), (8598), (9055),
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9081), (function-axioms) are inconsistent by
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #521.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9082) all_56_10 = e2 & op(e2, e0) = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9082) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9083) all_56_10 = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9078), (9083) are inconsistent by sub-proof
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1007.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9084) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9084) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9085) all_56_11 = e2 & op(e1, e0) = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9085) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9086) all_56_11 = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9087) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8593), (8836), (9087),
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1227.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9088) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9088) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9089) all_56_5 = e2 & op(e2, e1) = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9089) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9090) all_56_5 = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9091) all_54_3 = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (9091) imply:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9092) all_52_12 = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9092) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9093) all_52_12 = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (9093) imply:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9094) ~ (all_52_13 = e3)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9094) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9095) ~ (all_52_13 = e3)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9096) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9096) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9097) all_56_2 = e3 & op(e2, e3) = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9097) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9098) all_56_2 = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (164), (167), (222), (223),
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5804), (8558), (8836), (9078), (9098),
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #518.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9099) all_56_3 = e3 & op(e2, e2) = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9099) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9100) op(e2, e2) = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (9100), (function-axioms) are
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9101) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9101) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9102) all_56_5 = e3 & op(e2, e1) = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9102) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9103) all_56_5 = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9090), (9103) imply:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9104) e3 = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9104) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9105) e3 = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9061), (9105) imply:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9106) all_56_9 = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (169), (236), (5813), (8598), (9055),
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9106), (function-axioms) are inconsistent by
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #521.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9107) all_56_10 = e3 & op(e2, e0) = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9107) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9108) op(e2, e0) = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9095), (9108), (function-axioms) are
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1086.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9109) ~ (all_54_3 = e3)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (270), (9109) imply:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9110) ~ (all_52_12 = e3)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (168), (212), (8566), (9078),
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9086), (9110), (function-axioms) are inconsistent
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #956.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9111) all_56_10 = e2 & op(e2, e0) = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9111) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9112) all_56_10 = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9078), (9112) are inconsistent by sub-proof
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1007.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9113) all_56_15 = e2 & op(e0, e0) = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9113) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9114) op(e0, e0) = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8566), (9114), (function-axioms) are
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9115) all_56_11 = e0 & op(e1, e0) = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9115) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9116) all_56_11 = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9117) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9117) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9118) all_56_6 = e2 & op(e1, e3) = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9118) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9119) op(e1, e3) = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5805), (9119), (function-axioms) are
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #806.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9120) all_56_7 = e2 & op(e1, e2) = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9120) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9121) all_56_7 = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9122) op(e1, e2) = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9054) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9123) all_54_2 = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (5808), (9123) are inconsistent by
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1596.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9124) ~ (all_54_2 = e2)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9125) all_54_2 = e1 | all_54_2 = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9125) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9126) all_54_2 = e1
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (8584), (9126) are inconsistent by
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1615.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9127) all_54_2 = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (9127) imply:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9128) all_52_8 = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9128) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9129) all_52_8 = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (9129) imply:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9130) ~ (all_52_11 = e0)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9130) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9131) ~ (all_52_11 = e0)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (9129) imply:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9132) ~ (all_52_12 = e0)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9132) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9133) ~ (all_52_12 = e0)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5808), (9129) imply:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9134) ~ (e2 = e0)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9135) all_54_3 = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (9135) imply:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9136) all_52_12 = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9136) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9137) all_52_12 = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (9137) imply:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9138) ~ (all_52_13 = e3)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9138) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9139) ~ (all_52_13 = e3)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (9137) imply:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9140) ~ (all_52_14 = e3)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9140) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9141) ~ (all_52_14 = e3)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9142) all_54_7 = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (9139), (9142) are inconsistent by
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1420.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9143) ~ (all_54_7 = e3)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9144) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9145) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (373), (8598), (9145),
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #546.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9146) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9146) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9147) all_56_7 = e3 & op(e1, e2) = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9147) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9148) all_56_7 = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9121), (9148) imply:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9149) e3 = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9061), (9149) imply:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9150) all_56_9 = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (158), (169), (226), (236),
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5813), (8555), (8613), (9055), (9122), (9150),
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #517.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9151) all_56_13 = e3 & op(e0, e2) = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9151) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9152) all_56_13 = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9072) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9153) all_56_12 = e0 & op(e0, e3) = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9153) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9154) all_56_12 = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9155) op(e0, e3) = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9156) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (5813), (8592), (9156),
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #781.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9157) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9157) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9158) all_56_6 = e3 & op(e1, e3) = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9158) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9159) all_56_6 = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9160) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9160) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9161) all_56_12 = e2 & op(e0, e3) = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9161) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9162) all_56_12 = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9163) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (8626), (8627), (9163),
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #515.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9164) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9164) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9165) all_56_6 = e0 & op(e1, e3) = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9159), (9165) are inconsistent by sub-proof
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #527.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9153), (9162) are inconsistent by sub-proof
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1681.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9166) all_56_13 = e2 & op(e0, e2) = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9166) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9167) all_56_13 = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (225), (226),
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (373), (9121), (9122), (9167),
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #696.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9168) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9168) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9169) all_56_14 = e2 & op(e0, e1) = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9169) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9170) all_56_14 = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9144) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9171) all_54_7 = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (9171) imply:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9172) all_52_13 = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9172) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9173) all_52_13 = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (9173) imply:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9174) ~ (all_52_14 = e2)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9174) implies:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9175) ~ (all_52_14 = e2)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9139), (9173) imply:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9176) ~ (e3 = e2)
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (9173) imply:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9177) op(e2, e0) = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9178) all_54_11 = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (9141), (9178) are inconsistent by
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1184.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9179) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9180) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9180) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9181) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9181) gives:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9182) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8593), (9182), (function-axioms) are
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #664.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9183) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (36), (158), (207), (373), (8555),
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9155), (9170), (9183), (function-axioms) are
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #545.
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9184) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9184) gives:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9185) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9185) gives:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9186) all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9186) implies:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9187) op(e3, e2) = e3
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (133), (170), (201), (203), (250), (270),
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (272), (5809), (8557), (8559), (9175), (9179),
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9187), (function-axioms) are inconsistent by
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1374.
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9188) all_57_19 = e3 & all_57_31 = e2 & ~ (all_57_21 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e0, e2) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e0) = e2 & $i(all_57_21) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9188) implies:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9189) op(e0, e0) = e2
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (207), (9152), (9155), (9170),
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9189), (function-axioms) are inconsistent by
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1633.
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9190) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9190) gives:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9191) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9191) implies:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9192) op(e1, e2) = e1
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8608), (9192), (function-axioms) are
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1868.
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9193) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (207), (8836), (9152), (9155),
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9170), (9193), (function-axioms) are inconsistent
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #514.
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9194) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9194) gives:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9195) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9195) gives:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9196) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (169), (233), (235),
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8592), (9055), (9154), (9196), (function-axioms)
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #868.
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9197) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (218), (219),
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (239), (9066), (9155), (9177), (9197),
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #513.
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9198) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9198) gives:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9199) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (9199), (function-axioms) are
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #803.
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9200) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9200) gives:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9201) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9201) implies:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9202) ~ (all_57_28 = e0)
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9203) op(e2, e2) = all_57_28
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8836), (9202), (9203), (function-axioms) are
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1781.
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9204) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9204) gives:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9205) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9205) implies:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9206) op(e1, e0) = e1
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8559), (9206), (function-axioms) are
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1856.
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9207) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9207) implies:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9208) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (158), (160),
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (214), (233), (235), (373), (5813), (8559),
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8587), (8592), (8608), (8613), (8831), (9154),
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9208), (function-axioms) are inconsistent by
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #540.
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9209) all_54_7 = e1 | all_54_7 = e0
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (8558), (8833), (9209) are inconsistent by
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #705.
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9210) all_56_15 = e2 & op(e0, e0) = e2
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9210) implies:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9211) op(e0, e0) = e2
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (157), (159), (207), (8554), (8556),
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9152), (9211), (function-axioms) are inconsistent
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1699.
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9212) all_56_12 = e3 & op(e0, e3) = e3
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9212) implies:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9213) all_56_12 = e3
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (208), (8566), (9072), (9152),
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9213), (function-axioms) are inconsistent by
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1563.
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9214) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (8831), (9131), (9214),
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #635.
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9215) ~ (all_54_3 = e3)
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (270), (9215) imply:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9216) ~ (all_52_12 = e3)
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (9062), (9216), (function-axioms) are
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1862.
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9217) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8587), (9116), (9217),
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1008.
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9218) all_56_9 = e0 & op(e3, e0) = e0
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9218) implies:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9219) op(e3, e0) = e0
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9062), (9219), (function-axioms) are
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #531.
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | (9220) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9220) gives:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (9221) all_56_7 = e0 & op(e1, e2) = e0
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9221) implies:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (9222) all_56_7 = e0
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9223) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9223) gives:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9224) all_56_6 = e2 & op(e1, e3) = e2
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9224) implies:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9225) op(e1, e3) = e2
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5805), (9225), (function-axioms) are
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #806.
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9226) all_56_7 = e2 & op(e1, e2) = e2
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9226) implies:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9227) all_56_7 = e2
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9222), (9227) are inconsistent by sub-proof
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1734.
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9228) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9228) gives:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9229) all_56_8 = e2 & op(e1, e1) = e2
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9229) implies:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9230) op(e1, e1) = e2
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8587), (9230), (function-axioms) are
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9231) all_56_11 = e2 & op(e1, e0) = e2
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9231) implies:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9232) all_56_11 = e2
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (213), (216),
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (373), (8587), (8598),
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8836), (9222), (9232), (function-axioms) are
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #525.
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (9233) all_56_13 = e0 & op(e0, e2) = e0
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9233) implies:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (9234) op(e0, e2) = e0
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8831), (9234), (function-axioms) are
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #802.
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | (9235) ~ (all_46_1 = e1) & op(e2, e3) = all_46_1 &
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9235) implies:
% 246.66/42.84 | | | | | | | | | | | | | | | | | | | | | | (9236) ~ (all_46_1 = e1)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | (9237) op(e2, e3) = all_46_1
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8593), (9236), (9237), (function-axioms) are
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #736.
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.85 | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | (9238) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (8557), (8584), (9238),
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | #512.
% 246.66/42.85 | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.85 | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | End of split
% 246.66/42.85 | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.85 | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | (9239) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 246.66/42.85 | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 246.66/42.85 | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (8554), (8583), (9239),
% 246.66/42.85 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.85 | | | | | | | | | | | | | | | | | #511.
% 246.66/42.85 | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | End of split
% 246.66/42.85 | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | Case 2:
% 246.66/42.85 | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | (9240) all_54_10 = e0
% 246.66/42.85 | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | REF_CLOSE: (336), (8573), (9240) are inconsistent by
% 246.66/42.85 | | | | | | | | | | | | | | | | sub-proof #894.
% 246.66/42.85 | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | End of split
% 246.66/42.85 | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | End of split
% 246.66/42.85 | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | End of split
% 246.66/42.85 | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | Case 2:
% 246.66/42.85 | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | (9241) all_22_2 = e0
% 246.66/42.85 | | | | | | | | | | | | | (9242) ( ~ (all_22_0 = e3) & op(all_22_1, all_22_1) =
% 246.66/42.85 | | | | | | | | | | | | | all_22_0 & op(e0, e1) = all_22_1 & $i(all_22_0)
% 246.66/42.85 | | | | | | | | | | | | | & $i(all_22_1)) | ( ~ (all_22_1 = e2) & op(e0,
% 246.66/42.85 | | | | | | | | | | | | | e1) = all_22_1 & $i(all_22_1))
% 246.66/42.85 | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | COMBINE_EQS: (251), (9241) imply:
% 246.66/42.85 | | | | | | | | | | | | | (9243) all_10_2 = e0
% 246.66/42.85 | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | COMBINE_EQS: (333), (9243) imply:
% 246.66/42.85 | | | | | | | | | | | | | (9244) all_38_2 = e0
% 246.66/42.85 | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | REDUCE: (363), (9243) imply:
% 246.66/42.85 | | | | | | | | | | | | | (9245) ~ (all_52_8 = e0)
% 246.66/42.85 | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | REDUCE: (364), (9243) imply:
% 246.66/42.85 | | | | | | | | | | | | | (9246) ~ (all_52_9 = e0)
% 246.66/42.85 | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | REDUCE: (366), (9243) imply:
% 246.66/42.85 | | | | | | | | | | | | | (9247) ~ (all_52_11 = e0)
% 246.66/42.85 | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | REDUCE: (368), (9243) imply:
% 246.66/42.85 | | | | | | | | | | | | | (9248) ~ (all_52_14 = e0)
% 246.66/42.85 | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | REDUCE: (8571), (9243) imply:
% 246.66/42.85 | | | | | | | | | | | | | (9249) ~ (e3 = e0)
% 246.66/42.85 | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | REDUCE: (375), (9243) imply:
% 246.66/42.85 | | | | | | | | | | | | | (9250) ~ (e2 = e0)
% 246.66/42.85 | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | REDUCE: (45), (9243) imply:
% 246.66/42.85 | | | | | | | | | | | | | (9251) op(e1, e1) = e0
% 246.66/42.85 | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | BETA: splitting (67) gives:
% 246.66/42.85 | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | (9252) ~ (all_24_2 = e1)
% 246.66/42.85 | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | REDUCE: (318), (9252) imply:
% 246.66/42.85 | | | | | | | | | | | | | | (9253) ~ (all_4_2 = e1)
% 246.66/42.85 | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 246.66/42.85 | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | (9254) ~ (all_32_2 = e0)
% 246.66/42.85 | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | REDUCE: (314), (9254) imply:
% 246.66/42.85 | | | | | | | | | | | | | | | (9255) ~ (all_4_2 = e0)
% 246.66/42.85 | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 246.66/42.85 | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | (9256) all_54_5 = e3
% 246.66/42.85 | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (9256) imply:
% 246.66/42.85 | | | | | | | | | | | | | | | | (9257) all_4_2 = e3
% 246.66/42.85 | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | REDUCE: (373), (9257) imply:
% 246.66/42.85 | | | | | | | | | | | | | | | | (9258) $false
% 246.66/42.85 | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | CLOSE: (9258) is inconsistent.
% 246.66/42.85 | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | Case 2:
% 246.66/42.85 | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | (9259) ~ (all_54_5 = e3)
% 246.66/42.85 | | | | | | | | | | | | | | | | (9260) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 246.66/42.85 | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | BETA: splitting (9260) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | (9261) all_54_5 = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (9261) imply:
% 246.66/42.85 | | | | | | | | | | | | | | | | | (9262) all_4_2 = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | REDUCE: (358), (9262) imply:
% 246.66/42.85 | | | | | | | | | | | | | | | | | (9263) ~ (all_52_9 = e2)
% 246.66/42.85 | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | REDUCE: (360), (9262) imply:
% 246.66/42.85 | | | | | | | | | | | | | | | | | (9264) ~ (all_52_13 = e2)
% 246.66/42.85 | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | REDUCE: (373), (9262) imply:
% 246.66/42.85 | | | | | | | | | | | | | | | | | (9265) ~ (e3 = e2)
% 246.66/42.85 | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | REDUCE: (36), (9262) imply:
% 246.66/42.85 | | | | | | | | | | | | | | | | | (9266) op(e2, e2) = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | (9267) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 246.66/42.85 | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (5808), (9263), (9267),
% 246.66/42.85 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.85 | | | | | | | | | | | | | | | | | | #741.
% 246.66/42.85 | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.85 | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | (9268) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 246.66/42.85 | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 246.66/42.85 | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | BETA: splitting (9268) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | (9269) all_56_8 = e2 & op(e1, e1) = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | ALPHA: (9269) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | (9270) op(e1, e1) = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9251), (9270), (function-axioms) are
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1523.
% 246.66/42.85 | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | (9271) all_56_14 = e2 & op(e0, e1) = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | ALPHA: (9271) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | (9272) op(e0, e1) = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | (9273) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9273) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | (9274) all_56_9 = e2 & op(e3, e0) = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9274) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | (9275) all_56_9 = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | (230), (232), (236), (5813), (9251), (9275),
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | #510.
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | (9276) all_56_10 = e2 & op(e2, e0) = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9276) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | (9277) op(e2, e0) = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9264), (9277), (function-axioms) are
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1493.
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | (9278) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9278) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | (9279) all_56_11 = e2 & op(e1, e0) = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9279) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | (9280) all_56_11 = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | (9281) op(e1, e0) = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (9272) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | (9282) all_52_11 = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (9281) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | (9283) all_52_14 = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | (9284) ~ (all_38_2 = e0)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9244), (9284) imply:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | (9285) $false
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9285) is inconsistent.
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | (9286) ( ~ (all_38_0 = e2) & op(all_38_1, all_38_1) =
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | all_38_0 & op(e0, e1) = all_38_1 & $i(all_38_0)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | & $i(all_38_1)) | ( ~ (all_38_1 = e3) & op(e0,
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | e1) = all_38_1 & $i(all_38_1))
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8569) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | (9287) ~ (all_16_0 = e2) & op(all_16_1, all_16_1) =
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | all_16_0 & op(e1, e0) = all_16_1 & $i(all_16_0) &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9287) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | (9288) ~ (all_16_0 = e2)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | (9289) op(e1, e0) = all_16_1
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | (9290) op(all_16_1, all_16_1) = all_16_0
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8552), (9266), (9281), (9288), (9289), (9290),
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | #556.
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | (9291) ~ (all_16_1 = e3) & op(e1, e0) = all_16_1 &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9291) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | (9292) ~ (all_16_1 = e3)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | (9293) op(e1, e0) = all_16_1
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8552) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | (9294) ~ (all_14_0 = e3) & op(all_14_1, all_14_1) =
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | all_14_0 & op(e1, e0) = all_14_1 & $i(all_14_0) &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9294) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | (9295) ~ (all_14_0 = e3)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | (9296) op(e1, e0) = all_14_1
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | (9297) op(all_14_1, all_14_1) = all_14_0
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9242) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | (9298) ~ (all_22_0 = e3) & op(all_22_1, all_22_1) =
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | all_22_0 & op(e0, e1) = all_22_1 & $i(all_22_0) &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9298) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | (9299) op(e0, e1) = all_22_1
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | (9300) op(all_22_1, all_22_1) = all_22_0
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_22_1,
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (9272), (9299) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | (9301) all_22_1 = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_16_1,
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (9281), (9293) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | (9302) all_16_1 = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | all_16_1, e0, e1, simplifying with (9293), (9296)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | (9303) all_16_1 = all_14_1
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9302), (9303) imply:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | (9304) all_14_1 = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9304) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | (9305) all_14_1 = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9300), (9301) imply:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | (9306) op(e2, e2) = all_22_0
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9297), (9305) imply:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | (9307) op(e2, e2) = all_14_0
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9286) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (9308) ~ (all_38_0 = e2) & op(all_38_1, all_38_1) =
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_0 & op(e0, e1) = all_38_1 & $i(all_38_0) &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9308) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (9309) ~ (all_38_0 = e2)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (9310) op(e0, e1) = all_38_1
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (9311) op(all_38_1, all_38_1) = all_38_0
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9242), (9266), (9272), (9309), (9310), (9311),
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | #738.
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (9312) ~ (all_38_1 = e3) & op(e0, e1) = all_38_1 &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9312) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (9313) ~ (all_38_1 = e3)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (9314) op(e0, e1) = all_38_1
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_22_0,
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (9266), (9306) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (9315) all_22_0 = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_0,
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_0, e2, e2, simplifying with (9306), (9307)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (9316) all_22_0 = all_14_0
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9315), (9316) imply:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (9317) all_14_0 = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9317) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (9318) all_14_0 = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9319) all_54_7 = e3
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (9319) imply:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9320) all_52_13 = e3
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9320) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9321) all_52_13 = e3
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (9321) imply:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9322) ~ (all_52_1 = e3)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (9321) imply:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9323) ~ (all_52_9 = e3)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (9321) imply:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9324) ~ (all_52_12 = e3)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9325) all_54_6 = e3
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (9323), (9325) are inconsistent by
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1595.
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9326) ~ (all_54_6 = e3)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9327) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9327) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9328) all_54_6 = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (9263), (9328) are inconsistent by
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1432.
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9329) ~ (all_54_6 = e2)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9330) all_54_6 = e1 | all_54_6 = e0
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9331) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9331) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9332) all_56_4 = e3 & op(e3, e1) = e3
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9332) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9333) op(e3, e1) = e3
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9334) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9334) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9335) all_56_9 = e3 & op(e3, e0) = e3
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9335) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9336) op(e3, e0) = e3
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (9324), (9336), (function-axioms) are
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1862.
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9337) all_56_10 = e3 & op(e2, e0) = e3
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9337) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9338) all_56_10 = e3
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9339) all_56_15 = e0 & op(e0, e0) = e0
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8565), (9339) are inconsistent by sub-proof
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1564.
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9340) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9340) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9341) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9342) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9342) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9343) all_56_4 = e1 & op(e3, e1) = e1
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9343) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9344) op(e3, e1) = e1
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9333), (9344), (function-axioms) are
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #998.
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9345) all_56_5 = e1 & op(e2, e1) = e1
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9345) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9346) all_56_5 = e1
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9330) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9347) all_54_6 = e1
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (9347) imply:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9348) all_52_9 = e1
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9348) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9349) all_52_9 = e1
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (9349) imply:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9350) ~ (all_52_1 = e1)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9323), (9349) imply:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9351) ~ (e3 = e1)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9263), (9349) imply:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9352) ~ (e2 = e1)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (9349) imply:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9353) op(e2, e1) = e1
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9354) all_54_4 = e3
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (9322), (9354) are inconsistent by
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1696.
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9355) ~ (all_54_4 = e3)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9356) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9356) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9357) all_54_4 = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (5804), (9357) are inconsistent by
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1695.
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9358) ~ (all_54_4 = e2)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9359) all_54_4 = e1 | all_54_4 = e0
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9360) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9360) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9361) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16))) & ((all_57_30 = e3 & op(e1,
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e3) | ( ~ (all_57_17 = e1) & op(e1,
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_17 & $i(all_57_17))) &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9361) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9362) (all_57_30 = e3 & op(e1, e1) = e3) | ( ~
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & op(e1, e3) = all_57_17 &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17))
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (159), (221),
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (231), (373), (5813), (8554),
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9251), (9346), (9353), (9362), (function-axioms)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #509.
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9363) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e2 & op(e3, e3) = e2) | ( ~
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & op(e3, e2) = all_57_19 &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19))) & ((all_57_30 = e2 & op(e1,
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_20 = e1) & op(e1,
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_20 & $i(all_57_20))) &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)))
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9363) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9364) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21))
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9359) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9365) all_54_4 = e1
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (9350), (9365) are inconsistent by
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1694.
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9366) all_54_4 = e0
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (9366) imply:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9367) all_52_1 = e0
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9367) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9368) all_52_1 = e0
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (9368) imply:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9369) ~ (all_52_3 = e0)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9369) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9370) ~ (all_52_3 = e0)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9350), (9368) imply:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9371) ~ (e1 = e0)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9364) gives:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9372) all_57_31 = e2 & op(e0, e0) = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9372) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9373) op(e0, e0) = e2
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (206), (210), (9280),
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9281), (9338), (9373), (function-axioms) are
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1664.
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9374) ~ (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9374) implies:
% 246.66/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9375) ~ (all_57_21 = e0)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9376) op(e0, e2) = all_57_21
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (159), (9247), (9341), (9370), (9375),
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9376), (function-axioms) are inconsistent by
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #508.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9377) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9377) gives:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9378) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9378) implies:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9379) (all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (169), (5813), (9333), (9379),
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #507.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9380) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9380) implies:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9381) op(e0, e0) = all_57_31
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9382) op(e0, e1) = all_57_24
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9383) op(e0, all_57_31) = e0
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9384) (all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (5813), (8566), (9247), (9381),
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9382), (9383), (9384), (function-axioms) are
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #505.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9385) all_54_6 = e0
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (9246), (9385) are inconsistent by
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1431.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9386) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (157), (8556), (9251), (9386),
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #504.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9387) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9387) gives:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9388) all_56_11 = e3 & op(e1, e0) = e3
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9388) implies:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9389) op(e1, e0) = e3
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8552), (9292), (9293), (9389), (function-axioms)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #548.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9390) all_56_15 = e3 & op(e0, e0) = e3
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9390) implies:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9391) op(e0, e0) = e3
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8566), (9391), (function-axioms) are
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9392) all_56_5 = e3 & op(e2, e1) = e3
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9392) implies:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9393) op(e2, e1) = e3
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9323), (9393), (function-axioms) are
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1405.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9394) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9251), (9313), (9314), (9394),
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #733.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9395) ~ (all_54_7 = e3)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9396) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (260), (9395) imply:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9397) ~ (all_52_13 = e3)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9396) gives:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9398) all_54_7 = e2
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (9264), (9398) are inconsistent by
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1419.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9399) ~ (all_54_7 = e2)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9400) all_54_7 = e1 | all_54_7 = e0
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9400) gives:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9401) all_54_7 = e1
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (8558), (9401) are inconsistent by
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1418.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9402) all_54_7 = e0
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (9402) imply:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9403) all_52_13 = e0
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9403) implies:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9404) all_52_13 = e0
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (9404) imply:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9405) ~ (all_52_12 = e0)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8558), (9404) imply:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9406) ~ (e1 = e0)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9407) all_54_3 = e3
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (9407) imply:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9408) all_52_12 = e3
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9408) implies:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9409) all_52_12 = e3
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (9409) imply:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9410) ~ (all_52_8 = e3)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9411) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9411) gives:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9412) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16))) & ((all_57_30 = e3 & op(e1,
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e3) | ( ~ (all_57_17 = e1) & op(e1,
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_17 & $i(all_57_17))) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9412) implies:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9413) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18))
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9414) (all_57_30 = e3 & op(e1, e1) = e3) | ( ~
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & op(e1, e3) = all_57_17 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17))
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9415) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9415) gives:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9416) all_56_4 = e3 & op(e3, e1) = e3
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9416) implies:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9417) op(e3, e1) = e3
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9410), (9417), (function-axioms) are
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1599.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9418) all_56_5 = e3 & op(e2, e1) = e3
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9418) implies:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9419) all_56_5 = e3
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9420) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9420) gives:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9421) all_56_2 = e1 & op(e2, e3) = e1
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9421) implies:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9422) all_56_2 = e1
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9423) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9423) gives:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9424) all_56_4 = e1 & op(e3, e1) = e1
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9424) implies:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9425) all_56_4 = e1
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9426) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9426) gives:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9427) all_56_0 = e0 & op(e3, e3) = e0
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9427) implies:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9428) op(e3, e3) = e0
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (9428), (function-axioms) are
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #808.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9429) all_56_2 = e0 & op(e2, e3) = e0
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9429) implies:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9430) all_56_2 = e0
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (218),
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (222), (8558), (9251), (9253),
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9419), (9425), (9430), (function-axioms) are
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9431) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9431) gives:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9432) all_56_6 = e0 & op(e1, e3) = e0
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9432) implies:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9433) all_56_6 = e0
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (214), (215),
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (8559), (9251), (9433), (function-axioms)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #884.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9434) all_56_12 = e0 & op(e0, e3) = e0
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9434) implies:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9435) op(e0, e3) = e0
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8566), (9413), (9435), (function-axioms) are
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #883.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9436) all_56_5 = e1 & op(e2, e1) = e1
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9436) implies:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9437) all_56_5 = e1
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9438) op(e2, e1) = e1
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (221), (223),
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (373), (9422), (9437), (9438),
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1263.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9439) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (157), (8556), (9251), (9439),
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #504.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9440) all_56_3 = e1 & op(e2, e2) = e1
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9440) implies:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9441) op(e2, e2) = e1
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (9253), (9441), (function-axioms) are
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1867.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9442) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9442) gives:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9443) all_56_5 = e1 & op(e2, e1) = e1
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9443) implies:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9444) all_56_5 = e1
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9445) op(e2, e1) = e1
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (159), (221),
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (231), (373), (5813), (8554),
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9251), (9414), (9444), (9445), (function-axioms)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #509.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9446) all_56_10 = e1 & op(e2, e0) = e1
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9446) implies:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9447) op(e2, e0) = e1
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8558), (9447), (function-axioms) are
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1534.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9448) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9251), (9313), (9314), (9448),
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #733.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9449) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e2 & op(e3, e3) = e2) | ( ~
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & op(e3, e2) = all_57_19 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19))) & ((all_57_30 = e2 & op(e1,
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_20 = e1) & op(e1,
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_20 & $i(all_57_20))) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)))
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9449) implies:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9450) (all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9451) all_54_2 = e3
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (9410), (9451) are inconsistent by
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1617.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9452) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9452) gives:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9453) all_54_2 = e2
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (5808), (9453) are inconsistent by
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1596.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9454) all_54_2 = e1 | all_54_2 = e0
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9454) gives:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9455) all_54_2 = e1
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (9455) imply:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9456) all_52_8 = e1
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9456) implies:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9457) all_52_8 = e1
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (9457) imply:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9458) ~ (all_52_4 = e1)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9459) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (9253), (9458), (9459),
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1476.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9460) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9460) gives:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9461) all_56_7 = e1 & op(e1, e2) = e1
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9461) implies:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9462) op(e1, e2) = e1
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9251), (9450), (9462), (function-axioms) are
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1496.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9463) all_56_13 = e1 & op(e0, e2) = e1
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9463) implies:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9464) op(e0, e2) = e1
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8555), (9464), (function-axioms) are
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1378.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9465) all_54_2 = e0
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (9245), (9465) are inconsistent by
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1614.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9466) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9466) gives:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9467) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9467) implies:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9468) op(e1, e1) = all_57_30
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9469) op(e1, all_57_30) = e1
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9470) (all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9471) all_54_2 = e3
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (9410), (9471) are inconsistent by
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1617.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9472) ~ (all_54_2 = e3)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9473) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9473) gives:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9474) all_54_2 = e2
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (5808), (9474) are inconsistent by
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1596.
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9475) ~ (all_54_2 = e2)
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9476) all_54_2 = e1 | all_54_2 = e0
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9477) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9477) gives:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9478) all_56_4 = e3 & op(e3, e1) = e3
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9478) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9479) op(e3, e1) = e3
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (169), (5813), (9470), (9479),
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #507.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9480) all_56_5 = e3 & op(e2, e1) = e3
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9480) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9481) all_56_5 = e3
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9482) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9482) gives:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9483) all_56_2 = e1 & op(e2, e3) = e1
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9483) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9484) all_56_2 = e1
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9476) gives:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9485) all_54_2 = e1
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (9485) imply:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9486) all_52_8 = e1
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9486) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9487) all_52_8 = e1
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (9487) imply:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9488) ~ (all_52_4 = e1)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9410), (9487) imply:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9489) ~ (e3 = e1)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5808), (9487) imply:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9490) ~ (e2 = e1)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (160),
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (215), (216), (226), (229), (233), (235),
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8555), (8559), (9251), (9253), (9468), (9469),
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9470), (9484), (9488), (function-axioms) are
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #500.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9491) all_54_2 = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (9245), (9491) are inconsistent by
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1614.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9492) all_56_3 = e1 & op(e2, e2) = e1
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9492) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9493) op(e2, e2) = e1
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (9253), (9493), (function-axioms) are
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1867.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9494) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (164), (8558), (9481), (9494),
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #503.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9495) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9251), (9313), (9314), (9495),
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #733.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9496) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9496) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9497) op(e0, e0) = all_57_31
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9498) op(e0, e1) = all_57_24
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9499) op(e0, all_57_31) = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9500) (all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (5813), (8566), (9247), (9497),
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9498), (9499), (9500), (function-axioms) are
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #505.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9501) ~ (all_54_3 = e3)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (270), (9501) imply:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9502) ~ (all_52_12 = e3)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9503) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9503) gives:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9504) all_56_0 = e0 & op(e3, e3) = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9504) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9505) op(e3, e3) = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (9505), (function-axioms) are
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #808.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9506) all_56_1 = e0 & op(e3, e2) = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9506) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9507) all_56_1 = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9508) op(e3, e2) = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9509) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (5813), (9507), (9509),
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #753.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9510) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9510) gives:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9511) all_56_4 = e1 & op(e3, e1) = e1
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9511) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9512) all_56_4 = e1
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9513) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9513) gives:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9514) all_56_2 = e0 & op(e2, e3) = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9514) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9515) all_56_2 = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9516) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (373), (9515), (9516),
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1365.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9517) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9517) gives:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9518) all_56_5 = e3 & op(e2, e1) = e3
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9518) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9519) all_56_5 = e3
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (218),
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (222), (8558), (9251), (9253),
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9512), (9515), (9519), (function-axioms) are
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9520) all_56_10 = e3 & op(e2, e0) = e3
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9520) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9521) op(e2, e0) = e3
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9397), (9521), (function-axioms) are
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1086.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9522) all_56_3 = e0 & op(e2, e2) = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9522) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9523) op(e2, e2) = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (352), (9508), (9523),
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1507.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9524) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9524) gives:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9525) all_56_5 = e0 & op(e2, e1) = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9525) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9526) all_56_5 = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9527) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9527) gives:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9528) all_56_2 = e3 & op(e2, e3) = e3
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9528) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9529) all_56_2 = e3
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9530) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9530) gives:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9531) all_56_4 = e3 & op(e3, e1) = e3
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9531) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9532) op(e3, e1) = e3
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (169), (218), (219),
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9251), (9526), (9532), (function-axioms) are
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #996.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9533) all_56_5 = e3 & op(e2, e1) = e3
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9533) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9534) all_56_5 = e3
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9526), (9534) imply:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9535) e3 = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9529), (9535) imply:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9536) all_56_2 = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (218),
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (222), (8558), (9251), (9253),
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9512), (9534), (9536), (function-axioms) are
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9537) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9251), (9313), (9314), (9537),
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #733.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9538) all_56_3 = e3 & op(e2, e2) = e3
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9538) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9539) op(e2, e2) = e3
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (9539), (function-axioms) are
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9540) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9540) gives:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9541) all_56_5 = e3 & op(e2, e1) = e3
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9541) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9542) all_56_5 = e3
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9526), (9542) are inconsistent by sub-proof
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1605.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9543) all_56_10 = e3 & op(e2, e0) = e3
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9543) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9544) op(e2, e0) = e3
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9397), (9544), (function-axioms) are
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1086.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9545) all_56_10 = e0 & op(e2, e0) = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9545) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9546) all_56_10 = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (168), (212), (8566), (9280),
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9502), (9546), (function-axioms) are inconsistent
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #956.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9547) all_56_9 = e1 & op(e3, e0) = e1
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9547) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9548) op(e3, e0) = e1
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (8557), (9548), (function-axioms) are
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1848.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9549) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (218), (219),
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (9251), (9405), (9549), (function-axioms)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1513.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9550) ~ (all_22_1 = e2) & op(e0, e1) = all_22_1 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9550) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9551) ~ (all_22_1 = e2)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9552) op(e0, e1) = all_22_1
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9272), (9551), (9552), (function-axioms) are
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #739.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | (9553) ~ (all_14_1 = e2) & op(e1, e0) = all_14_1 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9553) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | (9554) ~ (all_14_1 = e2)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | (9555) op(e1, e0) = all_14_1
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9281), (9293), (9554), (9555), (function-axioms)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #831.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | (9556) all_56_15 = e2 & op(e0, e0) = e2
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9556) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | (9557) op(e0, e0) = e2
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8566), (9557), (function-axioms) are
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | (9558) all_54_5 = e1 | all_54_5 = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (9253), (9255), (9558) are inconsistent by
% 246.66/42.87 | | | | | | | | | | | | | | | | | sub-proof #1845.
% 246.66/42.87 | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | End of split
% 246.66/42.87 | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | (9559) all_32_2 = e0
% 246.66/42.87 | | | | | | | | | | | | | | | (9560) ( ~ (all_32_0 = e1) & op(all_32_1, all_32_1) =
% 246.66/42.87 | | | | | | | | | | | | | | | all_32_0 & op(e0, e2) = all_32_1 & $i(all_32_0)
% 246.66/42.87 | | | | | | | | | | | | | | | & $i(all_32_1)) | ( ~ (all_32_1 = e3) & op(e0,
% 246.66/42.87 | | | | | | | | | | | | | | | e2) = all_32_1 & $i(all_32_1))
% 246.66/42.87 | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | COMBINE_EQS: (314), (9559) imply:
% 246.66/42.87 | | | | | | | | | | | | | | | (9561) all_4_2 = e0
% 246.66/42.87 | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | SIMP: (9561) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | (9562) all_4_2 = e0
% 246.66/42.87 | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | REDUCE: (9253), (9562) imply:
% 246.66/42.87 | | | | | | | | | | | | | | | (9563) ~ (e1 = e0)
% 246.66/42.87 | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | REDUCE: (36), (9562) imply:
% 246.66/42.87 | | | | | | | | | | | | | | | (9564) op(e2, e2) = e0
% 246.66/42.87 | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 246.66/42.87 | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | Case 1:
% 246.66/42.87 | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | (9565) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 246.66/42.87 | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (170), (352), (5813), (9564), (9565),
% 246.66/42.87 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.87 | | | | | | | | | | | | | | | | #637.
% 246.66/42.87 | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | (9566) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 246.66/42.87 | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | BETA: splitting (9566) gives:
% 246.66/42.87 | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.87 | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | (9567) all_56_4 = e0 & op(e3, e1) = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | ALPHA: (9567) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | (9568) all_56_4 = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 246.66/42.87 | | | | | | | | | | | | | | | | | (9251), (9568), (function-axioms) are inconsistent
% 246.66/42.87 | | | | | | | | | | | | | | | | | by sub-proof #1515.
% 246.66/42.87 | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | (9569) all_56_9 = e0 & op(e3, e0) = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | ALPHA: (9569) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | (9570) op(e3, e0) = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 246.66/42.87 | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.87 | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | (9571) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 246.66/42.87 | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (167), (222),
% 246.66/42.87 | | | | | | | | | | | | | | | | | | (223), (224), (373), (5804), (5813), (9564),
% 246.66/42.87 | | | | | | | | | | | | | | | | | | (9571), (function-axioms) are inconsistent by
% 246.66/42.87 | | | | | | | | | | | | | | | | | | sub-proof #724.
% 246.66/42.87 | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | (9572) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 246.66/42.87 | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 246.66/42.87 | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | BETA: splitting (9572) gives:
% 246.66/42.87 | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | (9573) all_56_6 = e0 & op(e1, e3) = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | ALPHA: (9573) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | (9574) all_56_6 = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (214), (215),
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | (216), (8559), (9251), (9574), (function-axioms)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #884.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | (9575) all_56_12 = e0 & op(e0, e3) = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | ALPHA: (9575) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | (9576) all_56_12 = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | (9577) op(e0, e3) = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (9577) gives:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | (9578) all_52_3 = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | e0, e0, e3, simplifying with (168), (9570) gives:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | (9579) all_52_12 = e0
% 246.66/42.87 | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | REDUCE: (140), (9578) imply:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | (9580) ~ (all_52_7 = e0)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | SIMP: (9580) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | (9581) ~ (all_52_7 = e0)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | REDUCE: (139), (9578) imply:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | (9582) ~ (all_52_11 = e0)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | REDUCE: (133), (9579) imply:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | (9583) ~ (all_52_4 = e0)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | (9584) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9584) gives:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | (9585) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | $i(all_57_16))) & ((all_57_30 = e3 & op(e1,
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | e1) = e3) | ( ~ (all_57_17 = e1) & op(e1,
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_17 & $i(all_57_17))) &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9585) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | (9586) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18))
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8566), (9577), (9586), (function-axioms) are
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #883.
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | (9587) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e2 & op(e3, e3) = e2) | ( ~
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & op(e3, e2) = all_57_19 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | $i(all_57_19))) & ((all_57_30 = e2 & op(e1,
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_20 = e1) & op(e1,
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_20 & $i(all_57_20))) &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)))
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9587) implies:
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | (9588) op(e2, e0) = all_57_27
% 246.66/42.87 | | | | | | | | | | | | | | | | | | | | | (9589) op(e2, e2) = all_57_28
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | (9590) op(e2, e3) = all_57_16
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | (9591) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21))
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | (9592) (all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9591) gives:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | (9593) all_57_31 = e2 & op(e0, e0) = e2
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9593) implies:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | (9594) op(e0, e0) = e2
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8566), (9594), (function-axioms) are
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | (9595) ~ (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9595) implies:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | (9596) ~ (all_57_21 = e0)
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | (9597) op(e0, e2) = all_57_21
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9592) gives:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | (9598) all_57_30 = e2 & op(e1, e1) = e2
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9598) implies:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | (9599) op(e1, e1) = e2
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9251), (9599), (function-axioms) are
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1523.
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | (9600) ~ (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9600) implies:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | (9601) ~ (all_57_20 = e1)
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | (9602) op(e1, e2) = all_57_20
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | all_57_21, e2, e0, simplifying with (158), (9597)
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | (9603) all_57_21 = all_52_7
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | all_57_20, e2, e1, simplifying with (162), (9602)
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | (9604) all_57_20 = all_52_6
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e0, e2, simplifying with (164), (9588)
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | (9605) all_57_27 = all_52_13
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | all_57_28, e2, e2, simplifying with (9564), (9589)
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | (9606) all_57_28 = e0
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | all_57_16, e3, e2, simplifying with (167), (9590)
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | (9607) all_57_16 = all_52_1
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9601), (9604) imply:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | (9608) ~ (all_52_6 = e1)
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | (9609) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9609) gives:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | (9610) all_56_1 = e1 & op(e3, e2) = e1
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9610) implies:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | (9611) all_56_1 = e1
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (9612) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9612) gives:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9613) all_56_6 = e1 & op(e1, e3) = e1
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9613) implies:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9614) all_56_6 = e1
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9615) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9615) gives:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9616) all_56_0 = e3 & op(e3, e3) = e3
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9616) implies:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9617) op(e3, e3) = e3
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5813), (9617), (function-axioms) are
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9618) all_56_2 = e3 & op(e2, e3) = e3
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9618) implies:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9619) all_56_2 = e3
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9620) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9620) gives:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9621) all_56_0 = e3 & op(e3, e3) = e3
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9621) implies:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9622) op(e3, e3) = e3
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5813), (9622), (function-axioms) are
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9623) all_56_1 = e3 & op(e3, e2) = e3
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9623) implies:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9624) all_56_1 = e3
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9611), (9624) imply:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9625) e3 = e1
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (9625) imply:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9626) $false
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9626) is inconsistent.
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9627) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9627) gives:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9628) all_56_4 = e3 & op(e3, e1) = e3
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9628) implies:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9629) op(e3, e1) = e3
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9630) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9564), (9619), (9630),
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1170.
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9631) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9631) gives:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9632) all_56_5 = e1 & op(e2, e1) = e1
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9632) implies:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9633) all_56_5 = e1
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9634) op(e2, e1) = e1
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9635) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (169), (9629), (9634), (9635),
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1344.
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9636) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9636) gives:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9637) all_56_8 = e2 & op(e1, e1) = e2
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9637) implies:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9638) op(e1, e1) = e2
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9251), (9638), (function-axioms) are
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1523.
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9639) all_56_14 = e2 & op(e0, e1) = e2
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9639) implies:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9640) all_56_14 = e2
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9641) op(e0, e1) = e2
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9642) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9642) gives:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9643) all_56_9 = e3 & op(e3, e0) = e3
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9643) implies:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9644) op(e3, e0) = e3
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9570), (9644), (function-axioms) are
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #531.
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.66/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9645) all_56_10 = e3 & op(e2, e0) = e3
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9645) implies:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9646) all_56_10 = e3
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9647) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9647) gives:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9648) all_56_2 = e2 & op(e2, e3) = e2
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9648) implies:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9649) all_56_2 = e2
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9619), (9649) are inconsistent by sub-proof
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1578.
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9650) all_56_3 = e2 & op(e2, e2) = e2
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9650) implies:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9651) op(e2, e2) = e2
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9564), (9589), (9651), (function-axioms) are
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #993.
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9652) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (9634), (9646), (9652),
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1308.
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9653) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9653) gives:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9654) all_56_11 = e3 & op(e1, e0) = e3
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9654) implies:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9655) all_56_11 = e3
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9656) op(e1, e0) = e3
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9657) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9657) gives:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9658) all_56_6 = e2 & op(e1, e3) = e2
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9658) implies:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9659) op(e1, e3) = e2
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5805), (9659), (function-axioms) are
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #806.
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9660) all_56_7 = e2 & op(e1, e2) = e2
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9660) implies:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9661) all_56_7 = e2
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9662) op(e1, e2) = e2
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9663) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9663) gives:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9664) all_56_1 = e3 & op(e3, e2) = e3
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9664) implies:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9665) all_56_1 = e3
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9611), (9665) imply:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9666) e3 = e1
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9619), (9666) imply:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9667) all_56_2 = e1
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (221), (223),
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (373), (9633), (9634), (9667),
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1263.
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9668) all_56_3 = e3 & op(e2, e2) = e3
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9668) implies:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9669) op(e2, e2) = e3
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (9669), (function-axioms) are
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9670) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9670) gives:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9671) all_56_7 = e3 & op(e1, e2) = e3
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9671) implies:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9672) all_56_7 = e3
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (9614), (9657), (9672) are inconsistent
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1462.
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9673) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (9251), (9655), (9673),
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1380.
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9674) all_56_13 = e3 & op(e0, e2) = e3
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9674) implies:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9675) all_56_13 = e3
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9676) op(e0, e2) = e3
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9560) gives:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9677) ~ (all_32_0 = e1) & op(all_32_1, all_32_1) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_0 & op(e0, e2) = all_32_1 & $i(all_32_0) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9677) implies:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9678) op(e0, e2) = all_32_1
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9679) op(all_32_1, all_32_1) = all_32_0
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8569) gives:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9680) ~ (all_16_0 = e2) & op(all_16_1, all_16_1) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_16_0 & op(e1, e0) = all_16_1 & $i(all_16_0) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9680) implies:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9681) ~ (all_16_0 = e2)
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9682) op(e1, e0) = all_16_1
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9683) op(all_16_1, all_16_1) = all_16_0
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9684) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9684) gives:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9685) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9685) gives:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9686) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5804), (9686), (function-axioms) are
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1721.
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9687) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (36), (158), (207), (373), (8555),
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9577), (9640), (9687), (function-axioms) are
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #545.
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9688) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9688) gives:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9689) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9689) gives:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9690) all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9690) implies:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9691) op(e1, e1) = e2
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (213), (9614), (9655), (9661),
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9691), (function-axioms) are inconsistent by
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1291.
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9692) all_57_19 = e3 & all_57_31 = e2 & ~ (all_57_21 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e0, e2) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e0) = e2 & $i(all_57_21) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9692) implies:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9693) op(e0, e0) = e2
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (207), (9577), (9640), (9675),
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9693), (function-axioms) are inconsistent by
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1633.
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9694) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9694) gives:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9695) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9695) implies:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9696) op(e1, e2) = e1
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9662), (9696), (function-axioms) are
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #768.
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9697) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (207), (9564), (9577), (9640),
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9675), (9697), (function-axioms) are inconsistent
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #514.
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9698) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9698) gives:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9699) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9699) gives:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9700) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9700) gives:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9701) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9701) implies:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9702) op(e3, e3) = all_57_26
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8552) gives:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9703) ~ (all_14_0 = e3) & op(all_14_1, all_14_1) =
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_14_0 & op(e1, e0) = all_14_1 & $i(all_14_0) &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9703) implies:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9704) op(e1, e0) = all_14_1
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5813), (9242), (9641), (9656), (9676), (9678),
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9679), (9681), (9682), (9683), (9702), (9704),
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #499.
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9705) ~ (all_14_1 = e2) & op(e1, e0) = all_14_1 &
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9705) implies:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9706) op(e1, e0) = all_14_1
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5813), (9242), (9641), (9656), (9676), (9678),
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9679), (9681), (9682), (9683), (9702), (9706),
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #499.
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9707) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9707) implies:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9708) op(e3, e3) = e1
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5813), (9708), (function-axioms) are
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9709) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9709) gives:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9710) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (239), (9577), (9710), (function-axioms) are
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #882.
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9711) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9570), (9711), (function-axioms) are
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #530.
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9712) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (36), (157), (158), (160),
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (5813), (8559), (9247), (9251), (9253),
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9564), (9581), (9712), (function-axioms) are
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #498.
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9713) ~ (all_16_1 = e3) & op(e1, e0) = all_16_1 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9713) implies:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9714) ~ (all_16_1 = e3)
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9715) op(e1, e0) = all_16_1
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8552), (9656), (9714), (9715), (function-axioms)
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #548.
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9716) ~ (all_32_1 = e3) & op(e0, e2) = all_32_1 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9716) implies:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9717) ~ (all_32_1 = e3)
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9718) op(e0, e2) = all_32_1
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9676), (9717), (9718), (function-axioms) are
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1750.
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9719) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (9251), (9655), (9719),
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1380.
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9720) all_56_15 = e3 & op(e0, e0) = e3
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9720) implies:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9721) op(e0, e0) = e3
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (158), (207), (8555), (9577),
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9640), (9721), (function-axioms) are inconsistent
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #572.
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9722) all_56_10 = e1 & op(e2, e0) = e1
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9722) implies:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9723) op(e2, e0) = e1
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8558), (9723), (function-axioms) are
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1534.
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9724) all_56_9 = e3 & op(e3, e0) = e3
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9724) implies:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9725) op(e3, e0) = e3
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9570), (9725), (function-axioms) are
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #531.
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9726) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9726) gives:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9727) all_56_6 = e3 & op(e1, e3) = e3
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9614), (9727) are inconsistent by sub-proof
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #747.
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9728) all_56_12 = e3 & op(e0, e3) = e3
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9728) implies:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9729) all_56_12 = e3
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9576), (9729) are inconsistent by sub-proof
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1644.
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9730) all_56_7 = e1 & op(e1, e2) = e1
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9730) implies:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9731) op(e1, e2) = e1
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9608), (9731), (function-axioms) are
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1868.
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (9732) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (8559), (9251), (9732),
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | #885.
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | (9733) all_56_3 = e1 & op(e2, e2) = e1
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9733) implies:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | (9734) op(e2, e2) = e1
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9564), (9734), (function-axioms) are
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1795.
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | (9735) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (8555), (9608), (9735),
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | #1089.
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | (9736) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9736) gives:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | (9737) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9737) implies:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | (9738) (all_57_28 = e1 & op(e2, e2) = e1) | ( ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & op(e2, e1) = all_57_23 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | (9739) (all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9739) gives:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | (9740) all_57_26 = e1 & op(e3, e3) = e1
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9740) implies:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | (9741) op(e3, e3) = e1
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5813), (9741), (function-axioms) are
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | (9742) ~ (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9742) implies:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | (9743) ~ (all_57_22 = e3)
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | (9744) op(e3, e1) = all_57_22
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | (9745) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9745) gives:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | (9746) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9746) gives:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | (9747) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5804), (9747), (function-axioms) are
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1721.
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | (9748) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (373), (8566), (9748),
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | #903.
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | (9749) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9749) gives:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | (9750) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8566), (9251), (9750),
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | #942.
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | (9751) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9751) gives:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (9752) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9752) implies:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (9753) all_57_26 = e2
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (9754) all_57_20 = e1
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (9755) ~ (all_57_19 = e3)
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (9756) op(e1, e2) = e1
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (9757) op(e3, e2) = all_57_19
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (136), (162), (170), (203), (239), (272),
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (5807), (5813), (9251), (9583), (9753), (9754),
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (9755), (9756), (9757), (function-axioms) are
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #573.
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (9758) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8566), (9564), (9758),
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | #891.
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | (9759) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9759) gives:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (9760) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9760) gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | (9761) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9761) gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (9762) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9762) implies:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (9763) op(e3, e1) = e3
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9743), (9744), (9763), (function-axioms)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1059.
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (9764) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9764) implies:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (9765) op(e3, e3) = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5813), (9765), (function-axioms) are
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | (9766) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9766) gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (9767) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9767) implies:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (9768) all_57_23 = e2
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (9769) ~ (all_57_28 = e1)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9738), (9768), (9769) are inconsistent by
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1717.
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (9770) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9770) gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9771) all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9771) implies:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9772) op(e3, e0) = e3
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e0,
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (9570), (9772) gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9773) e3 = e0
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (9773) imply:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9774) $false
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9774) is inconsistent.
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9775) all_57_25 = e3 & all_57_30 = e0 & ~ (all_57_26 =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e3, e3) =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_26) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9775) implies:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9776) op(e3, e0) = e3
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9570), (9776), (function-axioms) are
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #531.
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (9777) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (36), (157), (158), (160),
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (373), (5813), (8559), (9247), (9251), (9253),
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (9564), (9581), (9777), (function-axioms) are
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #498.
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | (9778) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9778) implies:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | (9779) op(e0, e0) = all_57_31
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | (9780) op(e0, e1) = all_57_24
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | (9781) op(e0, all_57_31) = e0
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | (9782) (all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (5813), (8566), (9247), (9779),
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | (9780), (9781), (9782), (function-axioms) are
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #505.
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.93 | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.93 | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | End of split
% 246.77/42.93 | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | End of split
% 246.77/42.93 | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | End of split
% 246.77/42.93 | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | End of split
% 246.77/42.93 | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | Case 2:
% 246.77/42.93 | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | (9783) all_24_2 = e1
% 246.77/42.93 | | | | | | | | | | | | | | (9784) ( ~ (all_24_0 = e0) & op(all_24_1, all_24_1) =
% 246.77/42.93 | | | | | | | | | | | | | | all_24_0 & op(e1, e2) = all_24_1 & $i(all_24_0)
% 246.77/42.93 | | | | | | | | | | | | | | & $i(all_24_1)) | ( ~ (all_24_1 = e3) & op(e1,
% 246.77/42.93 | | | | | | | | | | | | | | e2) = all_24_1 & $i(all_24_1))
% 246.77/42.93 | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | COMBINE_EQS: (318), (9783) imply:
% 246.77/42.93 | | | | | | | | | | | | | | (9785) all_4_2 = e1
% 246.77/42.93 | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | SIMP: (9785) implies:
% 246.77/42.93 | | | | | | | | | | | | | | (9786) all_4_2 = e1
% 246.77/42.93 | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | REDUCE: (354), (9786) imply:
% 246.77/42.93 | | | | | | | | | | | | | | (9787) ~ (all_52_6 = e1)
% 246.77/42.93 | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | REDUCE: (358), (9786) imply:
% 246.77/42.93 | | | | | | | | | | | | | | (9788) ~ (all_52_9 = e1)
% 246.77/42.93 | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | REDUCE: (373), (9786) imply:
% 246.77/42.93 | | | | | | | | | | | | | | (9789) ~ (e3 = e1)
% 246.77/42.93 | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | REDUCE: (36), (9786) imply:
% 246.77/42.93 | | | | | | | | | | | | | | (9790) op(e2, e2) = e1
% 246.77/42.93 | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 246.77/42.93 | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | Case 1:
% 246.77/42.93 | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | (9791) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 246.77/42.93 | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 246.77/42.93 | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | BETA: splitting (9791) gives:
% 246.77/42.93 | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | Case 1:
% 246.77/42.93 | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | (9792) all_56_2 = e1 & op(e2, e3) = e1
% 246.77/42.93 | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | ALPHA: (9792) implies:
% 246.77/42.93 | | | | | | | | | | | | | | | | (9793) all_56_2 = e1
% 246.77/42.93 | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 246.77/42.93 | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.93 | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | (9794) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 246.77/42.93 | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | BETA: splitting (9794) gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.93 | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | (9795) all_56_4 = e1 & op(e3, e1) = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | ALPHA: (9795) implies:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | (9796) all_56_4 = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | (9797) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | BETA: splitting (9797) gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | (9798) all_56_6 = e1 & op(e1, e3) = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | ALPHA: (9798) implies:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | (9799) all_56_6 = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | (9800) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (5813), (9793), (9800),
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | #781.
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | (9801) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9801) gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | (9802) all_56_6 = e3 & op(e1, e3) = e3
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9802) implies:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | (9803) all_56_6 = e3
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9799), (9803) are inconsistent by sub-proof
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | #1474.
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | (9804) all_56_12 = e3 & op(e0, e3) = e3
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9804) implies:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | (9805) all_56_12 = e3
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (214), (215),
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (220), (229), (5813), (8559),
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | (9251), (9793), (9796), (9805), (function-axioms)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #497.
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | (9806) all_56_7 = e1 & op(e1, e2) = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | ALPHA: (9806) implies:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | (9807) op(e1, e2) = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9787), (9807), (function-axioms) are
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1868.
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.93 | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | (9808) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (8559), (9251), (9808),
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | #885.
% 246.77/42.93 | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.93 | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.93 | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | (9809) all_56_5 = e1 & op(e2, e1) = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | ALPHA: (9809) implies:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | (9810) op(e2, e1) = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9788), (9810), (function-axioms) are
% 246.77/42.93 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1383.
% 246.77/42.93 | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | End of split
% 246.77/42.93 | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.93 | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | (9811) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 246.77/42.93 | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 246.77/42.93 | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | BETA: splitting (9811) gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.93 | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | (9812) all_56_8 = e1 & op(e1, e1) = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | ALPHA: (9812) implies:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | (9813) op(e1, e1) = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9251), (9813), (function-axioms) are
% 246.77/42.93 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1857.
% 246.77/42.93 | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.93 | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | (9814) all_56_14 = e1 & op(e0, e1) = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | ALPHA: (9814) implies:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | (9815) all_56_14 = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (219), (221),
% 246.77/42.93 | | | | | | | | | | | | | | | | | | (224), (5808), (9251), (9790), (9793), (9815),
% 246.77/42.93 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.93 | | | | | | | | | | | | | | | | | | #714.
% 246.77/42.93 | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | End of split
% 246.77/42.93 | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | End of split
% 246.77/42.93 | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | Case 2:
% 246.77/42.93 | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | (9816) all_56_3 = e1 & op(e2, e2) = e1
% 246.77/42.93 | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | ALPHA: (9816) implies:
% 246.77/42.93 | | | | | | | | | | | | | | | | (9817) all_56_3 = e1
% 246.77/42.93 | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 246.77/42.93 | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.93 | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | (9818) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 246.77/42.93 | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | BETA: splitting (9818) gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.93 | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | (9819) all_56_4 = e1 & op(e3, e1) = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | ALPHA: (9819) implies:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | (9820) all_56_4 = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | | (9821) op(e3, e1) = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | (9822) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | BETA: splitting (9822) gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | (9823) all_56_6 = e1 & op(e1, e3) = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | ALPHA: (9823) implies:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | (9824) all_56_6 = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | (9825) op(e1, e3) = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (9825) gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | (9826) all_52_2 = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (9821) gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | (9827) all_52_8 = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (9826) imply:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | (9828) ~ (all_52_14 = e1)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (9827) imply:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | (9829) ~ (all_52_4 = e1)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (9827) imply:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | (9830) ~ (all_52_12 = e1)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (5808), (9827) imply:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | (9831) ~ (e2 = e1)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | (9832) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9832) gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | (9833) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16))) & ((all_57_30 = e3 & op(e1,
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | e1) = e3) | ( ~ (all_57_17 = e1) & op(e1,
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_17 & $i(all_57_17))) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9833) implies:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | (9834) (all_57_30 = e3 & op(e1, e1) = e3) | ( ~
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & op(e1, e3) = all_57_17 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17))
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9251), (9825), (9834), (function-axioms) are
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #999.
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | (9835) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e2 & op(e3, e3) = e2) | ( ~
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & op(e3, e2) = all_57_19 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19))) & ((all_57_30 = e2 & op(e1,
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_20 = e1) & op(e1,
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_20 & $i(all_57_20))) &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)))
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9835) implies:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | (9836) op(e2, e0) = all_57_27
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | (9837) op(e2, e1) = all_57_23
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | (9838) op(e2, e2) = all_57_28
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | (9839) op(e2, e3) = all_57_16
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | (9840) op(e2, all_57_23) = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | (9841) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21))
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | (9842) (all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9841) gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | (9843) all_57_31 = e2 & op(e0, e0) = e2
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9843) implies:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | (9844) op(e0, e0) = e2
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8566), (9844), (function-axioms) are
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | (9845) ~ (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9845) implies:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | (9846) ~ (all_57_21 = e0)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | (9847) op(e0, e2) = all_57_21
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9842) gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (9848) all_57_30 = e2 & op(e1, e1) = e2
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9848) implies:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (9849) op(e1, e1) = e2
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9251), (9849), (function-axioms) are
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1523.
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (9850) ~ (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9850) implies:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (9851) ~ (all_57_20 = e1)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (9852) op(e1, e2) = all_57_20
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | all_57_21, e2, e0, simplifying with (158), (9847)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (9853) all_57_21 = all_52_7
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | all_57_20, e2, e1, simplifying with (162), (9852)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (9854) all_57_20 = all_52_6
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e0, e2, simplifying with (164), (9836)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (9855) all_57_27 = all_52_13
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23, e1, e2, simplifying with (165), (9837)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (9856) all_57_23 = all_52_9
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | all_57_28, e2, e2, simplifying with (9790), (9838)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (9857) all_57_28 = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | all_57_16, e3, e2, simplifying with (167), (9839)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (9858) all_57_16 = all_52_1
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9846), (9853) imply:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (9859) ~ (all_52_7 = e0)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9840), (9856) imply:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | (9860) op(e2, all_52_9) = e1
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | (9861) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9861) gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (9862) all_56_1 = e0 & op(e3, e2) = e0
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9862) implies:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (9863) all_56_1 = e0
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9864) all_56_15 = e0 & op(e0, e0) = e0
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9864) implies:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9865) all_56_15 = e0
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8565), (9865) imply:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9866) e1 = e0
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9820), (9866) imply:
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9867) all_56_4 = e0
% 246.77/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9251), (9867), (function-axioms) are inconsistent
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1515.
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9868) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9868) implies:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9869) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9870) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9870) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9871) all_56_0 = e3 & op(e3, e3) = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9871) implies:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9872) op(e3, e3) = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5813), (9872), (function-axioms) are
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9873) all_56_1 = e3 & op(e3, e2) = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9873) implies:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9874) all_56_1 = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9863), (9874) imply:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9875) e3 = e0
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (9875) imply:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9876) $false
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9876) is inconsistent.
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9877) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9877) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9878) all_56_4 = e3 & op(e3, e1) = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9878) implies:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9879) op(e3, e1) = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9821), (9879), (function-axioms) are
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #998.
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9880) all_56_9 = e3 & op(e3, e0) = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9880) implies:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9881) all_56_9 = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9882) op(e3, e0) = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9869) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9883) all_56_9 = e0 & op(e3, e0) = e0
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9883) implies:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9884) op(e3, e0) = e0
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9882), (9884), (function-axioms) are
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #531.
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9885) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9885) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9886) all_56_10 = e0 & op(e2, e0) = e0
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9886) implies:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9887) all_56_10 = e0
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9888) op(e2, e0) = e0
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9889) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (5804), (9817), (9889),
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1122.
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9890) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9890) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9891) all_56_5 = e2 & op(e2, e1) = e2
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9891) implies:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9892) all_56_5 = e2
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9893) op(e2, e1) = e2
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9894) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9894) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9895) all_56_9 = e2 & op(e3, e0) = e2
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9895) implies:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9896) all_56_9 = e2
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (232), (236), (5813),
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9863), (9896), (function-axioms) are inconsistent
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #750.
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9897) all_56_10 = e2 & op(e2, e0) = e2
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9897) implies:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9898) all_56_10 = e2
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9887), (9898) are inconsistent by sub-proof
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1007.
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9899) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9899) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9900) all_56_11 = e2 & op(e1, e0) = e2
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9900) implies:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9901) all_56_11 = e2
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9902) op(e1, e0) = e2
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9903) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9903) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9904) all_56_4 = e3 & op(e3, e1) = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9904) implies:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9905) op(e3, e1) = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9821), (9905), (function-axioms) are
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #998.
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9906) all_56_5 = e3 & op(e2, e1) = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9906) implies:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9907) all_56_5 = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9892), (9907) imply:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9908) e3 = e2
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9881), (9908) imply:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9909) all_56_9 = e2
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (232), (236), (5813),
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9863), (9909), (function-axioms) are inconsistent
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #750.
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9910) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9910) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9911) all_56_8 = e3 & op(e1, e1) = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9911) implies:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9912) op(e1, e1) = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (135), (158), (160),
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (167), (170), (203), (214), (238), (272),
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5804), (5807), (5813), (8559), (8566), (9787),
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9790), (9821), (9829), (9912), (function-axioms)
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #494.
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9913) all_56_14 = e3 & op(e0, e1) = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9913) implies:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9914) op(e0, e1) = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9915) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9915) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9916) all_56_6 = e3 & op(e1, e3) = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9916) implies:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9917) all_56_6 = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9824), (9917) are inconsistent by sub-proof
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1474.
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9918) all_56_7 = e3 & op(e1, e2) = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9918) implies:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9919) all_56_7 = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9920) op(e1, e2) = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, e0, simplifying with (157), (9914) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9921) all_52_11 = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (9902) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9922) all_52_14 = e2
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e3,
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (9920) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9923) all_52_6 = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e2, simplifying with (164), (9888) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9924) all_52_13 = e0
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (9893) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9925) all_52_9 = e2
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (9882) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9926) all_52_12 = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9855), (9924) imply:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9927) all_57_27 = e0
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8558), (9924) imply:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9928) ~ (e1 = e0)
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9929) ~ (all_38_2 = e0)
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9244), (9929) imply:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9930) $false
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9930) is inconsistent.
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9931) ( ~ (all_38_0 = e2) & op(all_38_1, all_38_1) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_0 & op(e0, e1) = all_38_1 & $i(all_38_0)
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_38_1)) | ( ~ (all_38_1 = e3) & op(e0,
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_38_1 & $i(all_38_1))
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9931) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9932) ~ (all_38_0 = e2) & op(all_38_1, all_38_1) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_0 & op(e0, e1) = all_38_1 & $i(all_38_0) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9932) implies:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9933) ~ (all_38_0 = e2)
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9934) op(e0, e1) = all_38_1
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9935) op(all_38_1, all_38_1) = all_38_0
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9936) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9936) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9937) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9937) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9938) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5804), (9938), (function-axioms) are
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1721.
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9939) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8566), (9790), (9939), (function-axioms) are
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #943.
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9940) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9940) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9941) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8566), (9251), (9941),
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #942.
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9942) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9942) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9943) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9943) implies:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9944) op(e1, e2) = e1
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9851), (9852), (9944), (function-axioms) are
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1497.
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9945) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8566), (9893), (9945), (function-axioms) are
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #493.
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9946) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9946) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9947) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9947) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9948) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (5813), (9821), (9948),
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #496.
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9949) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9949) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9950) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9950) implies:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9951) ~ (all_57_28 = e1)
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9790), (9838), (9951), (function-axioms) are
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1457.
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9952) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9952) gives:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9953) all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9953) implies:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9954) op(e2, e2) = e0
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9790), (9954), (function-axioms) are
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1795.
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9955) all_57_25 = e3 & all_57_30 = e0 & ~ (all_57_26 =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e3, e3) =
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_26) &
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9955) implies:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9956) op(e3, e3) = all_57_26
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9784) gives:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_38_1,
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (9914), (9934) gives:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9957) all_38_1 = e3
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26, e3, e3, simplifying with (5813), (9956)
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9958) all_57_26 = e2
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9935), (9957) imply:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9959) op(e3, e3) = all_38_0
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5813), (9933), (9959), (function-axioms) are
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #492.
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9960) ~ (all_24_1 = e3) & op(e1, e2) = all_24_1 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9920), (9960), (function-axioms) are inconsistent
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #491.
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9961) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9961) gives:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9962) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (9962), (function-axioms) are
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #803.
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9963) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9963) gives:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9964) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9964) implies:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9965) all_57_27 = e2
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9927), (9965) imply:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9966) e2 = e0
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (214), (215), (9251),
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9901), (9919), (9966), (function-axioms) are
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #960.
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9967) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9967) gives:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9968) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9968) implies:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9969) op(e1, e0) = e1
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8559), (9969), (function-axioms) are
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1856.
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9970) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9970) implies:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9971) op(e0, e0) = all_57_31
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9972) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9972) gives:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9973) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9973) gives:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9974) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9974) implies:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9975) op(e2, e2) = e3
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9790), (9975), (function-axioms) are
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9976) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9976) gives:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9977) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9977) implies:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9978) op(e1, e1) = e3
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (135), (158), (160), (162), (170),
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (214), (272), (5807), (5813), (8559),
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8566), (9787), (9790), (9829), (9971), (9972),
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9978), (function-axioms) are inconsistent by
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #495.
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9979) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9979) implies:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9980) op(e0, e2) = e0
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9859), (9980), (function-axioms) are
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #802.
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9981) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (5813), (9251), (9893), (9981),
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #759.
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9982) ~ (all_38_1 = e3) & op(e0, e1) = all_38_1 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9982) implies:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9983) ~ (all_38_1 = e3)
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9984) op(e0, e1) = all_38_1
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9914), (9983), (9984), (function-axioms) are
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1313.
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9985) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9985) gives:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9986) all_56_8 = e3 & op(e1, e1) = e3
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9986) implies:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9987) op(e1, e1) = e3
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (135), (158), (160),
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (167), (170), (203), (214), (238), (272),
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5804), (5807), (5813), (8559), (8566), (9787),
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9790), (9821), (9829), (9987), (function-axioms)
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #494.
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9988) all_56_11 = e3 & op(e1, e0) = e3
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9988) implies:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9989) all_56_11 = e3
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9901), (9989) imply:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9990) e3 = e2
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9990) implies:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9991) e3 = e2
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9881), (9991) imply:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9992) all_56_9 = e2
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (232), (236), (5813),
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9863), (9992), (function-axioms) are inconsistent
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #750.
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9993) all_56_15 = e2 & op(e0, e0) = e2
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9993) implies:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9994) op(e0, e0) = e2
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8566), (9994), (function-axioms) are
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9995) all_56_10 = e2 & op(e2, e0) = e2
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9995) implies:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9996) all_56_10 = e2
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9887), (9996) are inconsistent by sub-proof
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1007.
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9997) all_56_11 = e0 & op(e1, e0) = e0
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9997) implies:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9998) all_56_11 = e0
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (214), (215), (216),
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9251), (9824), (9998), (function-axioms) are
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #490.
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (9999) all_56_3 = e0 & op(e2, e2) = e0
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9999) implies:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (10000) op(e2, e2) = e0
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9790), (10000), (function-axioms) are
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1795.
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | (10001) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (214), (215),
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | (216), (9251), (9859), (10001), (function-axioms)
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #702.
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | (10002) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10002) gives:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | (10003) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10003) implies:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | (10004) op(e1, e0) = all_57_29
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | (10005) op(e1, e1) = all_57_30
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | (10006) op(e1, all_57_30) = e1
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | (10007) (all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (5813), (8559), (9251), (10004),
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | (10005), (10006), (10007), (function-axioms) are
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #489.
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | (10008) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10008) implies:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | (10009) op(e0, e0) = all_57_31
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | (10010) op(e0, e1) = all_57_24
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | (10011) op(e0, all_57_31) = e0
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | (10012) (all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (5813), (8566), (9247), (10009),
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | (10010), (10011), (10012), (function-axioms) are
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #505.
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | (10013) all_56_7 = e1 & op(e1, e2) = e1
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | ALPHA: (10013) implies:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | (10014) op(e1, e2) = e1
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9787), (10014), (function-axioms) are
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1868.
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | (10015) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 246.77/42.95 | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (8559), (9251), (10015),
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.95 | | | | | | | | | | | | | | | | | | | #885.
% 246.77/42.95 | | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.95 | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | (10016) all_56_5 = e1 & op(e2, e1) = e1
% 246.77/42.95 | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | ALPHA: (10016) implies:
% 246.77/42.95 | | | | | | | | | | | | | | | | | | (10017) op(e2, e1) = e1
% 246.77/42.95 | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9788), (10017), (function-axioms) are
% 246.77/42.95 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1383.
% 246.77/42.95 | | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.95 | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | (10018) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 246.77/42.95 | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 246.77/42.95 | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (157), (8556), (9251), (10018),
% 246.77/42.95 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.95 | | | | | | | | | | | | | | | | | #504.
% 246.77/42.95 | | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | Case 2:
% 246.77/42.95 | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | (10019) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 246.77/42.95 | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 246.77/42.95 | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (8558), (9788), (10019),
% 246.77/42.95 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.95 | | | | | | | | | | | | | | | #755.
% 246.77/42.95 | | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | End of split
% 246.77/42.95 | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | Case 2:
% 246.77/42.95 | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | (10020) all_20_2 = e3
% 246.77/42.95 | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | COMBINE_EQS: (325), (10020) imply:
% 246.77/42.95 | | | | | | | | | | | | (10021) all_10_2 = e3
% 246.77/42.95 | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | REDUCE: (350), (10021) imply:
% 246.77/42.95 | | | | | | | | | | | | (10022) ~ (all_52_2 = e3)
% 246.77/42.95 | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | REDUCE: (361), (10021) imply:
% 246.77/42.95 | | | | | | | | | | | | (10023) ~ (all_52_6 = e3)
% 246.77/42.95 | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | REDUCE: (363), (10021) imply:
% 246.77/42.95 | | | | | | | | | | | | (10024) ~ (all_52_8 = e3)
% 246.77/42.95 | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | REDUCE: (364), (10021) imply:
% 246.77/42.95 | | | | | | | | | | | | (10025) ~ (all_52_9 = e3)
% 246.77/42.95 | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | REDUCE: (366), (10021) imply:
% 246.77/42.95 | | | | | | | | | | | | (10026) ~ (all_52_11 = e3)
% 246.77/42.95 | | | | | | | | | | | |
% 246.77/42.95 | | | | | | | | | | | | REDUCE: (45), (10021) imply:
% 246.77/42.95 | | | | | | | | | | | | (10027) op(e1, e1) = e3
% 246.77/42.96 | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | BETA: splitting (220) gives:
% 246.77/42.96 | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | (10028) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 246.77/42.96 | | | | | | | | | | | | | & op(e2, e1) = e3)
% 246.77/42.96 | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | BETA: splitting (10028) gives:
% 246.77/42.96 | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | (10029) all_56_4 = e3 & op(e3, e1) = e3
% 246.77/42.96 | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | ALPHA: (10029) implies:
% 246.77/42.96 | | | | | | | | | | | | | | (10030) op(e3, e1) = e3
% 246.77/42.96 | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | REF_CLOSE: (169), (10024), (10030), (function-axioms) are
% 246.77/42.96 | | | | | | | | | | | | | | inconsistent by sub-proof #1599.
% 246.77/42.96 | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | Case 2:
% 246.77/42.96 | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | (10031) all_56_5 = e3 & op(e2, e1) = e3
% 246.77/42.96 | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | ALPHA: (10031) implies:
% 246.77/42.96 | | | | | | | | | | | | | | (10032) all_56_5 = e3
% 246.77/42.96 | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (217), (218),
% 246.77/42.96 | | | | | | | | | | | | | | (219), (8556), (10027), (10032), (function-axioms)
% 246.77/42.96 | | | | | | | | | | | | | | are inconsistent by sub-proof #1036.
% 246.77/42.96 | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | End of split
% 246.77/42.96 | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | Case 2:
% 246.77/42.96 | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | (10033) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 246.77/42.96 | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 246.77/42.96 | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | BETA: splitting (10033) gives:
% 246.77/42.96 | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | (10034) all_56_8 = e3 & op(e1, e1) = e3
% 246.77/42.96 | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | ALPHA: (10034) implies:
% 246.77/42.96 | | | | | | | | | | | | | | (10035) all_56_8 = e3
% 246.77/42.96 | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 246.77/42.96 | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | (10036) ~ (all_24_2 = e1)
% 246.77/42.96 | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | REDUCE: (318), (10036) imply:
% 246.77/42.96 | | | | | | | | | | | | | | | (10037) ~ (all_4_2 = e1)
% 246.77/42.96 | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 246.77/42.96 | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | (10038) ~ (all_32_2 = e0)
% 246.77/42.96 | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | REDUCE: (314), (10038) imply:
% 246.77/42.96 | | | | | | | | | | | | | | | | (10039) ~ (all_4_2 = e0)
% 246.77/42.96 | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | (10040) all_54_5 = e3
% 246.77/42.96 | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (10040) imply:
% 246.77/42.96 | | | | | | | | | | | | | | | | | (10041) all_4_2 = e3
% 246.77/42.96 | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | REDUCE: (373), (10041) imply:
% 246.77/42.96 | | | | | | | | | | | | | | | | | (10042) $false
% 246.77/42.96 | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | CLOSE: (10042) is inconsistent.
% 246.77/42.96 | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.96 | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | (10043) ~ (all_54_5 = e3)
% 246.77/42.96 | | | | | | | | | | | | | | | | | (10044) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 246.77/42.96 | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | BETA: splitting (10044) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | (10045) all_54_5 = e2
% 246.77/42.96 | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (10045) imply:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | (10046) all_4_2 = e2
% 246.77/42.96 | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | REDUCE: (356), (10046) imply:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | (10047) ~ (all_52_7 = e2)
% 246.77/42.96 | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | REDUCE: (358), (10046) imply:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | (10048) ~ (all_52_9 = e2)
% 246.77/42.96 | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | REDUCE: (360), (10046) imply:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | (10049) ~ (all_52_13 = e2)
% 246.77/42.96 | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | REDUCE: (373), (10046) imply:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | (10050) ~ (e3 = e2)
% 246.77/42.96 | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | REDUCE: (36), (10046) imply:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | (10051) op(e2, e2) = e2
% 246.77/42.96 | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | (10052) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 246.77/42.96 | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (10052) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | (10053) all_56_9 = e2 & op(e3, e0) = e2
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | ALPHA: (10053) implies:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | (10054) all_56_9 = e2
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (67), (100),
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | (110), (125), (133), (134), (139), (145), (157),
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (167),
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (197), (206), (212), (213),
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | (214), (215), (217), (218), (219), (221), (222),
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (229), (236), (238),
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | (239), (260), (318), (352), (354), (360), (373),
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | (5801), (5803), (5804), (5805), (5807), (5813),
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | (8555), (8556), (8559), (8565), (10024), (10026),
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | (10027), (10035), (10037), (10054),
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | #486.
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | (10055) all_56_10 = e2 & op(e2, e0) = e2
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | ALPHA: (10055) implies:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | (10056) op(e2, e0) = e2
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10049), (10056), (function-axioms) are
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1493.
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.96 | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | (10057) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 246.77/42.96 | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (10057) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | (10058) all_56_11 = e2 & op(e1, e0) = e2
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | ALPHA: (10058) implies:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | (10059) all_56_11 = e2
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | (10060) op(e1, e0) = e2
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | (10061) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (5808), (10048), (10061),
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | #741.
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | (10062) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10062) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | (10063) all_56_8 = e2 & op(e1, e1) = e2
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10063) implies:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | (10064) op(e1, e1) = e2
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10027), (10064), (function-axioms) are
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | (10065) all_56_14 = e2 & op(e0, e1) = e2
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10065) implies:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | (10066) all_56_14 = e2
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | (10067) op(e0, e1) = e2
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | (10068) all_54_7 = e3
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (10068) imply:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | (10069) all_52_13 = e3
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10069) implies:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | (10070) all_52_13 = e3
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (10070) imply:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | (10071) ~ (all_52_12 = e3)
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | (10072) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10072) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | (10073) all_56_0 = e3 & op(e3, e3) = e3
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10073) implies:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | (10074) op(e3, e3) = e3
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5813), (10074), (function-axioms) are
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | (10075) all_56_1 = e3 & op(e3, e2) = e3
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10075) implies:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | (10076) all_56_1 = e3
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | (10077) op(e3, e2) = e3
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (10078) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10078) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10079) all_56_0 = e1 & op(e3, e3) = e1
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10079) implies:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10080) op(e3, e3) = e1
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5813), (10080), (function-axioms) are
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10081) all_56_1 = e1 & op(e3, e2) = e1
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10076), (10081) are inconsistent by
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1328.
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (10082) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10082) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10083) all_56_4 = e1 & op(e3, e1) = e1
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10083) implies:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10084) all_56_4 = e1
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10085) op(e3, e1) = e1
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10086) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (5813), (10076), (10086),
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #692.
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10087) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10087) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10088) all_56_4 = e0 & op(e3, e1) = e0
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10084), (10088) are inconsistent by
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1115.
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10089) all_56_9 = e0 & op(e3, e0) = e0
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10089) implies:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10090) all_56_9 = e0
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10091) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10091) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10092) all_56_9 = e3 & op(e3, e0) = e3
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10092) implies:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10093) op(e3, e0) = e3
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10071), (10093), (function-axioms) are
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1862.
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10094) all_56_10 = e3 & op(e2, e0) = e3
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10094) implies:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10095) all_56_10 = e3
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10096) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10096) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10097) all_56_4 = e0 & op(e3, e1) = e0
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10084), (10097) are inconsistent by
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1115.
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10098) all_56_5 = e0 & op(e2, e1) = e0
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10098) implies:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10099) all_56_5 = e0
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10100) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (222), (223),
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5813), (10095), (10100), (function-axioms) are
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #485.
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10101) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10101) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10102) all_56_6 = e3 & op(e1, e3) = e3
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10022), (10102), (function-axioms) are
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1626.
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10103) all_56_12 = e3 & op(e0, e3) = e3
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10103) implies:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10104) all_56_12 = e3
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10105) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (10037), (10076), (10105),
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #691.
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10106) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10106) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10107) all_56_7 = e1 & op(e1, e2) = e1
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10107) implies:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10108) op(e1, e2) = e1
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10109) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10109) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10110) all_56_1 = e0 & op(e3, e2) = e0
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10110) implies:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10111) all_56_1 = e0
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10076), (10111) imply:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10112) e3 = e0
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10095), (10112) imply:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10113) all_56_10 = e0
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (168), (211), (212),
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8566), (10071), (10090), (10113),
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #841.
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10114) all_56_3 = e0 & op(e2, e2) = e0
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10114) implies:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10115) all_56_3 = e0
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10116) op(e2, e2) = e0
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (164), (222), (223), (8558),
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10095), (10099), (10115), (10116),
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #845.
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10117) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10117) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10118) all_56_7 = e0 & op(e1, e2) = e0
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10118) implies:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10119) op(e1, e2) = e0
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10108), (10119), (function-axioms) are
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1719.
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10120) all_56_13 = e0 & op(e0, e2) = e0
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10120) implies:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10121) all_56_13 = e0
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10122) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10122) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10123) all_56_6 = e0 & op(e1, e3) = e0
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10123) implies:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10124) all_56_6 = e0
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10125) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10125) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10126) all_56_2 = e1 & op(e2, e3) = e1
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10126) implies:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10127) all_56_2 = e1
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10128) op(e2, e3) = e1
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10129) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10129) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10130) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (36), (158), (207), (208),
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (8555), (10104), (10121), (10128), (10130),
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #484.
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10131) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10131) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10132) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (206), (210), (10059),
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10060), (10095), (10108), (10132),
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #483.
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10133) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10133) gives:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10134) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10134) implies:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10135) all_57_26 = e2
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10136) all_57_20 = e1
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10137) ~ (all_57_19 = e3)
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (128), (158), (162), (239), (10027),
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10051), (10067), (10108), (10135), (10136),
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10137), (function-axioms) are inconsistent by
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #640.
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10138) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (36), (206), (210),
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10037), (10059), (10060), (10095), (10138),
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #729.
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10139) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10139) gives:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10140) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10140) gives:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10141) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10141) gives:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10142) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10142) implies:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10143) op(e3, e1) = e3
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10085), (10143), (function-axioms) are
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #998.
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10144) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10144) implies:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10145) op(e3, e3) = e1
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (233), (235), (10124),
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10127), (10128), (10145), (function-axioms) are
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #966.
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10146) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (168), (10048), (10071), (10146),
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #893.
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10147) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10147) gives:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10148) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (10148), (function-axioms) are
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #803.
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10149) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10149) gives:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10150) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10150) implies:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10151) op(e2, e0) = e2
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10049), (10151), (function-axioms) are
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1493.
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10152) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10152) gives:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10153) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10153) implies:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10154) op(e1, e0) = e1
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8559), (10154), (function-axioms) are
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1856.
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10155) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10155) implies:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10156) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10156) gives:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10157) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10157) gives:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10158) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10158) implies:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10159) op(e2, e2) = e3
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (10159), (function-axioms) are
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10160) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10160) gives:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10161) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10161) implies:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10162) all_57_30 = e3
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10163) ~ (all_57_17 = e1)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10164) op(e0, e3) = e0
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10165) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (8566), (10027), (10108), (10164),
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10165), (function-axioms) are inconsistent by
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #839.
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10166) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10166) gives:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10167) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10167) implies:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10168) op(e1, e3) = all_57_17
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10169) op(e1, all_57_30) = e1
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10162), (10169) imply:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10170) op(e1, e3) = e1
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10163), (10168), (10170), (function-axioms) are
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1304.
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10171) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10171) implies:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10172) op(e0, e1) = all_57_24
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10173) op(e0, e2) = all_57_21
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10174) op(e0, all_57_24) = e1
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10175) (all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (128), (158), (162), (10051), (10067),
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10108), (10172), (10173), (10174), (10175),
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #730.
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10176) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10176) implies:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10177) ~ (all_57_19 = e3)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10178) op(e3, e2) = all_57_19
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10077), (10177), (10178), (function-axioms) are
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1792.
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10179) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10179) gives:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10180) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10180) implies:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10181) ~ (all_57_20 = e1)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10182) op(e1, e2) = all_57_20
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10108), (10181), (10182), (function-axioms) are
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1497.
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10183) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10183) gives:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10184) all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10184) implies:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10185) op(e3, e3) = e1
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (233), (235), (10124),
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10127), (10128), (10185), (function-axioms) are
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #966.
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10186) all_57_24 = e0 & all_57_28 = e1 & ~ (all_57_23 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e1) & op(e2, e2) = e1 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & op(e0, e1) = e0 &
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10186) implies:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10187) op(e2, e2) = e1
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (10037), (10187), (function-axioms) are
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1867.
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10188) all_56_3 = e1 & op(e2, e2) = e1
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10188) implies:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10189) op(e2, e2) = e1
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (10037), (10189), (function-axioms) are
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1867.
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10190) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10190) gives:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10191) all_56_5 = e1 & op(e2, e1) = e1
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10191) implies:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10192) all_56_5 = e1
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10099), (10192) imply:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10193) e1 = e0
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10193) implies:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10194) e1 = e0
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10084), (10194) imply:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10195) all_56_4 = e0
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (218), (10027), (10066), (10099),
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10195), (function-axioms) are inconsistent by
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1235.
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10196) all_56_10 = e1 & op(e2, e0) = e1
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10196) implies:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197) op(e2, e0) = e1
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8558), (10197), (function-axioms) are
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1534.
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10198) all_56_7 = e0 & op(e1, e2) = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10198) implies:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10199) op(e1, e2) = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10108), (10199), (function-axioms) are
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1719.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10200) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10200) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10201) all_56_8 = e0 & op(e1, e1) = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10201) implies:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10202) op(e1, e1) = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (169), (218),
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (10026), (10099), (10202),
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #995.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10203) all_56_11 = e0 & op(e1, e0) = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10203) implies:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10204) all_56_11 = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10059), (10204) imply:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10205) e2 = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10066), (10205) imply:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10206) all_56_14 = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (208), (8566), (10104), (10121),
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10206), (function-axioms) are inconsistent by
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #828.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10207) all_56_13 = e1 & op(e0, e2) = e1
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10207) implies:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10208) op(e0, e2) = e1
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8555), (10208), (function-axioms) are
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1378.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10209) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10209) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10210) all_56_8 = e0 & op(e1, e1) = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10210) implies:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10211) op(e1, e1) = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10027), (10211), (function-axioms) are
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1771.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10212) all_56_14 = e0 & op(e0, e1) = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10066), (10212) are inconsistent by
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1632.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10213) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (213), (214),
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (8559), (8566), (10027), (10035), (10213),
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #482.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10214) all_56_9 = e1 & op(e3, e0) = e1
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10214) implies:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10215) op(e3, e0) = e1
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (8557), (10215), (function-axioms) are
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1848.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | (10216) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (10024), (10071), (10216),
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | #1058.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | (10217) ~ (all_54_7 = e3)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | (10218) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (260), (10217) imply:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | (10219) ~ (all_52_13 = e3)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | (10220) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10220) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | (10221) all_56_2 = e3 & op(e2, e3) = e3
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10221) implies:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | (10222) all_56_2 = e3
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (10223) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (10037), (10222), (10223),
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | #481.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (10224) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10224) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10225) all_56_5 = e1 & op(e2, e1) = e1
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10225) implies:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10226) all_56_5 = e1
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10227) op(e2, e1) = e1
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10228) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (10051), (10222), (10228),
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1441.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10229) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10229) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10230) all_56_5 = e0 & op(e2, e1) = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10226), (10230) are inconsistent by
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1310.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10231) all_56_10 = e0 & op(e2, e0) = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10231) implies:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10232) all_56_10 = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10233) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (221), (223),
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (373), (5813), (10226), (10227), (10233),
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #586.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10234) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10234) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10235) all_56_6 = e1 & op(e1, e3) = e1
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10235) implies:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10236) all_56_6 = e1
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10237) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10237) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10238) all_56_6 = e0 & op(e1, e3) = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10236), (10238) are inconsistent by
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1773.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10239) all_56_7 = e0 & op(e1, e2) = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10239) implies:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10240) all_56_7 = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10241) op(e1, e2) = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10218) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10242) all_54_7 = e2
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (10049), (10242) are inconsistent by
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1419.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10243) ~ (all_54_7 = e2)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10244) all_54_7 = e1 | all_54_7 = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10244) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10245) all_54_7 = e1
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (8558), (10245) are inconsistent by
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1418.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10246) all_54_7 = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (10246) imply:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10247) all_52_13 = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10247) implies:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10248) all_52_13 = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (10248) imply:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10249) ~ (all_52_1 = e0)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (10248) imply:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10250) ~ (all_52_9 = e0)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (10248) imply:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10251) ~ (all_52_12 = e0)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10219), (10248) imply:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10252) ~ (e3 = e0)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10049), (10248) imply:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10253) ~ (e2 = e0)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8558), (10248) imply:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10254) ~ (e1 = e0)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10255) all_54_3 = e3
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (10255) imply:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10256) all_52_12 = e3
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10256) implies:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10257) all_52_12 = e3
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (10257) imply:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10258) ~ (all_52_4 = e3)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10259) all_54_6 = e3
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (10025), (10259) are inconsistent by
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1595.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10260) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10261) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10261) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10262) all_56_4 = e0 & op(e3, e1) = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10262) implies:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10263) all_56_4 = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10260) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10264) all_54_6 = e2
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (10048), (10264) are inconsistent by
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1432.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10265) all_54_6 = e1 | all_54_6 = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10265) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10266) all_54_6 = e1
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (10266) imply:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10267) all_52_9 = e1
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10267) implies:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10268) all_52_9 = e1
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (10268) imply:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10269) ~ (all_52_1 = e1)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10270) all_54_4 = e3
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (10270) imply:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10271) all_52_1 = e3
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10271) implies:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10272) all_52_1 = e3
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (10272) imply:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10273) ~ (all_52_2 = e3)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (10272) imply:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10274) ~ (all_52_3 = e3)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10274) implies:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10275) ~ (all_52_3 = e3)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10276) all_54_12 = e3
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (10275), (10276) are inconsistent by
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1503.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10277) ~ (all_54_12 = e3)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10278) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10278) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10279) all_54_12 = e2
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (5806), (10279) are inconsistent by
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1692.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10280) ~ (all_54_12 = e2)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10281) all_54_12 = e1 | all_54_12 = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10281) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10282) all_54_12 = e1
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (8554), (10282) are inconsistent by
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1691.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10283) all_54_12 = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (10283) imply:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10284) all_52_3 = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10284) implies:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10285) all_52_3 = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (10285) imply:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10286) ~ (all_52_2 = e0)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (10285) imply:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10287) ~ (all_52_7 = e0)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10287) implies:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10288) ~ (all_52_7 = e0)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (10285) imply:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10289) op(e0, e3) = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10290) all_54_8 = e3
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (10022), (10290) are inconsistent by
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #920.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10291) ~ (all_54_8 = e3)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10292) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10292) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10293) all_54_8 = e2
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (5805), (10293) are inconsistent by
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1032.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10294) ~ (all_54_8 = e2)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10295) all_54_8 = e1 | all_54_8 = e0
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10295) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10296) all_54_8 = e1
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (10296) imply:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10297) all_52_2 = e1
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10297) implies:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10298) all_52_2 = e1
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (10298) imply:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10299) ~ (all_52_6 = e1)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10299) implies:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10300) ~ (all_52_6 = e1)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10022), (10298) imply:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10301) ~ (e3 = e1)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5805), (10298) imply:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10302) ~ (e2 = e1)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10303) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10303) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10304) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10304) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10305) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (268), (349), (10037), (10039), (10044),
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10305), (function-axioms) are inconsistent by
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1843.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10306) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (36), (158), (207), (373), (8555),
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10066), (10289), (10306), (function-axioms) are
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #545.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10307) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10307) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10308) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10308) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10309) all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10309) implies:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10310) op(e3, e2) = e3
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (170), (191), (248), (8555), (10047),
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10288), (10310), (function-axioms) are
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1460.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10311) all_57_19 = e3 & all_57_31 = e2 & ~ (all_57_21 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e2) & op(e3, e3) =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e0, e2) =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e0) = e2 & $i(all_57_21) &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10311) implies:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10312) op(e0, e0) = e2
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (160), (164), (169), (170), (210),
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (5813), (8558), (8559), (10024), (10258),
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10312), (function-axioms) are inconsistent by
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #760.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10313) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10313) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10314) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10314) implies:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10315) op(e1, e2) = e1
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (10300), (10315), (function-axioms) are
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1868.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10316) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10316) gives:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10317) all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_30)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10317) implies:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10318) op(e0, e0) = e2
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (160), (164), (169), (170), (210),
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (5813), (8558), (8559), (10024), (10258),
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10318), (function-axioms) are inconsistent by
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #760.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10319) all_57_22 = e3 & all_57_28 = e1 & ~ (all_57_23 =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & $i(all_57_23) &
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10319) implies:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10320) op(e2, e2) = e1
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (10037), (10320), (function-axioms) are
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1867.
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10321) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10321) gives:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10322) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10322) gives:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10323) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (169), (5813), (10024), (10323),
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #480.
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10324) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10324) gives:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10325) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (239), (10289), (10325), (function-axioms)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #882.
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10326) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10326) gives:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10327) all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10327) implies:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10328) op(e2, e2) = e0
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10051), (10328), (function-axioms) are
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1835.
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10329) all_57_25 = e3 & all_57_30 = e0 & ~ (all_57_26 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e3, e3) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_26) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10329) implies:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10330) op(e1, e1) = e0
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (10226),
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10263), (10330), (function-axioms) are
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1521.
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10331) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10331) gives:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10332) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (10332), (function-axioms) are
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #803.
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10333) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10333) gives:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10334) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10334) implies:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10335) op(e2, e0) = e2
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10049), (10335), (function-axioms) are
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1493.
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10336) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10336) gives:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10337) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10337) implies:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10338) op(e1, e0) = e1
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8559), (10338), (function-axioms) are
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1856.
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10339) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10339) implies:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10340) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (158), (160), (162), (214),
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (5813), (8559), (10027), (10037), (10288),
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10300), (10340), (function-axioms) are
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #542.
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10341) all_54_8 = e0
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (10286), (10341) are inconsistent by
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1030.
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10342) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (5804), (10249), (10269), (10342) are
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1413.
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10343) all_54_6 = e0
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (10250), (10343) are inconsistent by
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1431.
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10344) all_56_5 = e0 & op(e2, e1) = e0
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10226), (10344) are inconsistent by
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1310.
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10345) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10345) gives:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10346) all_56_8 = e0 & op(e1, e1) = e0
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10346) implies:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10347) op(e1, e1) = e0
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (214), (215), (216),
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10240), (10241), (10347), (function-axioms) are
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #985.
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10348) all_56_14 = e0 & op(e0, e1) = e0
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10348) implies:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10349) all_56_14 = e0
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10066), (10349) imply:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10350) e2 = e0
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10350) implies:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10351) e2 = e0
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10059), (10351) imply:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10352) all_56_11 = e0
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (215), (10027), (10236), (10240),
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10352), (function-axioms) are inconsistent by
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1251.
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10353) ~ (all_54_3 = e3)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (270), (10353) imply:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10354) ~ (all_52_12 = e3)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (168), (212), (8566), (10059),
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10232), (10354), (function-axioms) are
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #956.
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10355) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (10027), (10059), (10355),
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1159.
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10356) all_56_12 = e1 & op(e0, e3) = e1
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10356) implies:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10357) op(e0, e3) = e1
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8554), (10357), (function-axioms) are
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1849.
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10358) all_56_10 = e1 & op(e2, e0) = e1
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10358) implies:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10359) op(e2, e0) = e1
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8558), (10359), (function-axioms) are
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1534.
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | (10360) all_56_3 = e3 & op(e2, e2) = e3
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10360) implies:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | (10361) op(e2, e2) = e3
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (10361), (function-axioms) are
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | (10362) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10362) gives:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | (10363) all_56_5 = e3 & op(e2, e1) = e3
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10363) implies:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | (10364) all_56_5 = e3
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (217), (218),
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | (219), (8556), (10027), (10364), (function-axioms)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1036.
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | (10365) all_56_10 = e3 & op(e2, e0) = e3
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10365) implies:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | (10366) op(e2, e0) = e3
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10219), (10366), (function-axioms) are
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1086.
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | (10367) all_56_15 = e2 & op(e0, e0) = e2
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | ALPHA: (10367) implies:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | (10368) op(e0, e0) = e2
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8566), (10368), (function-axioms) are
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | (10369) all_54_5 = e1 | all_54_5 = e0
% 246.77/42.99 | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (10037), (10039), (10369) are inconsistent
% 246.77/42.99 | | | | | | | | | | | | | | | | | | by sub-proof #1845.
% 246.77/42.99 | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | (10370) all_32_2 = e0
% 246.77/42.99 | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (10370) imply:
% 246.77/42.99 | | | | | | | | | | | | | | | | (10371) all_4_2 = e0
% 246.77/42.99 | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | REDUCE: (349), (10371) imply:
% 246.77/42.99 | | | | | | | | | | | | | | | | (10372) ~ (all_52_1 = e0)
% 246.77/42.99 | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | REDUCE: (352), (10371) imply:
% 246.77/42.99 | | | | | | | | | | | | | | | | (10373) ~ (all_52_4 = e0)
% 246.77/42.99 | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | REDUCE: (354), (10371) imply:
% 246.77/42.99 | | | | | | | | | | | | | | | | (10374) ~ (all_52_6 = e0)
% 246.77/42.99 | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | REDUCE: (356), (10371) imply:
% 246.77/42.99 | | | | | | | | | | | | | | | | (10375) ~ (all_52_7 = e0)
% 246.77/42.99 | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | REDUCE: (358), (10371) imply:
% 246.77/42.99 | | | | | | | | | | | | | | | | (10376) ~ (all_52_9 = e0)
% 246.77/42.99 | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | REDUCE: (360), (10371) imply:
% 246.77/42.99 | | | | | | | | | | | | | | | | (10377) ~ (all_52_13 = e0)
% 246.77/42.99 | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | REDUCE: (373), (10371) imply:
% 246.77/42.99 | | | | | | | | | | | | | | | | (10378) ~ (e3 = e0)
% 246.77/42.99 | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | REDUCE: (10037), (10371) imply:
% 246.77/42.99 | | | | | | | | | | | | | | | | (10379) ~ (e1 = e0)
% 246.77/42.99 | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | REDUCE: (36), (10371) imply:
% 246.77/42.99 | | | | | | | | | | | | | | | | (10380) op(e2, e2) = e0
% 246.77/42.99 | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 246.77/42.99 | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.99 | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | (10381) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 246.77/42.99 | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 246.77/42.99 | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | BETA: splitting (10381) gives:
% 246.77/42.99 | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.99 | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | (10382) all_56_1 = e0 & op(e3, e2) = e0
% 246.77/42.99 | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | ALPHA: (10382) implies:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | (10383) op(e3, e2) = e0
% 246.77/42.99 | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (352), (10380), (10383),
% 246.77/42.99 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.99 | | | | | | | | | | | | | | | | | | #1507.
% 246.77/42.99 | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | (10384) all_56_3 = e0 & op(e2, e2) = e0
% 246.77/42.99 | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | ALPHA: (10384) implies:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | (10385) all_56_3 = e0
% 246.77/42.99 | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 246.77/42.99 | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | (10386) all_54_12 = e3
% 246.77/42.99 | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (10386) imply:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | (10387) all_52_3 = e3
% 246.77/42.99 | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | SIMP: (10387) implies:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | (10388) all_52_3 = e3
% 246.77/42.99 | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | REDUCE: (148), (10388) imply:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | (10389) ~ (all_52_1 = e3)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | REDUCE: (140), (10388) imply:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | (10390) ~ (all_52_7 = e3)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | SIMP: (10390) implies:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | (10391) ~ (all_52_7 = e3)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | REDUCE: (139), (10388) imply:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | (10392) ~ (all_52_11 = e3)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | (10393) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10393) gives:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | (10394) all_56_2 = e3 & op(e2, e3) = e3
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10394) implies:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | (10395) all_56_2 = e3
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (157), (158),
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | (159), (167), (209), (222), (223), (224), (229),
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | (231), (373), (5804), (5813), (8554), (8566),
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | (10026), (10380), (10391), (10395),
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | #534.
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | (10396) all_56_3 = e3 & op(e2, e2) = e3
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10396) implies:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | (10397) op(e2, e2) = e3
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (10397), (function-axioms) are
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | End of split
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | (10398) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10398) gives:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | (10399) all_56_5 = e3 & op(e2, e1) = e3
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10399) implies:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | (10400) all_56_5 = e3
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (217), (218),
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | (219), (8556), (10027), (10400), (function-axioms)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1036.
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | Case 2:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | (10401) all_56_10 = e3 & op(e2, e0) = e3
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10401) implies:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | (10402) all_56_10 = e3
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | (10403) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10403) gives:
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | |
% 246.77/42.99 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/42.99 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/42.99 | | | | | | | | | | | | | | | | | | | | | | | (10404) all_56_0 = e0 & op(e3, e3) = e0
% 247.38/42.99 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/42.99 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10404) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | (10405) op(e3, e3) = e0
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (10405), (function-axioms) are
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #808.
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | (10406) all_56_2 = e0 & op(e2, e3) = e0
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10406) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | (10407) all_56_2 = e0
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (167), (222),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (373), (5804), (10380), (10402),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | (10407), (function-axioms) are inconsistent by
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #726.
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | (10408) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10408) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | (10409) all_56_6 = e0 & op(e1, e3) = e0
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10409) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | (10410) all_56_6 = e0
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | (10411) all_54_4 = e3
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (10389), (10411) are inconsistent by
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1696.
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | (10412) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10412) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | (10413) all_54_4 = e2
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (5804), (10413) are inconsistent by
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1695.
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | (10414) ~ (all_54_4 = e2)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | (10415) all_54_4 = e1 | all_54_4 = e0
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (10416) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (222), (223),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (5813), (10402), (10416), (function-axioms) are
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #485.
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (10417) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10417) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10418) all_56_6 = e3 & op(e1, e3) = e3
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10022), (10418), (function-axioms) are
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1626.
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10419) all_56_12 = e3 & op(e0, e3) = e3
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10419) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10420) all_56_12 = e3
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10421) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10421) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10422) all_56_9 = e2 & op(e3, e0) = e2
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10422) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10423) all_56_9 = e2
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (67), (100),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (110), (125), (133), (134), (139), (145), (157),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (167),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (197), (206), (212), (213),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (217), (218), (219), (221), (222),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (229), (236), (238),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (260), (318), (352), (354), (360), (373),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5801), (5803), (5804), (5805), (5807), (5813),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8555), (8556), (8559), (8565), (10024), (10026),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10027), (10035), (10037), (10423),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #486.
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10424) all_56_10 = e2 & op(e2, e0) = e2
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10402), (10424) are inconsistent by
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1743.
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10425) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10425) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10426) all_56_11 = e2 & op(e1, e0) = e2
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10426) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10427) all_56_11 = e2
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10428) op(e1, e0) = e2
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10429) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10429) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10430) all_56_6 = e1 & op(e1, e3) = e1
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10410), (10430) are inconsistent by
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #886.
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10431) all_56_7 = e1 & op(e1, e2) = e1
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10431) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10432) all_56_7 = e1
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10433) op(e1, e2) = e1
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10434) all_54_13 = e3
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (10434) imply:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10435) all_52_7 = e3
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10391), (10435) imply:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10436) $false
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10436) is inconsistent.
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10437) ~ (all_54_13 = e3)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10438) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10439) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10439) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10440) all_56_1 = e3 & op(e3, e2) = e3
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10440) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10441) all_56_1 = e3
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10442) op(e3, e2) = e3
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10443) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10443) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10444) all_56_0 = e1 & op(e3, e3) = e1
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10444) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10445) op(e3, e3) = e1
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (167), (233), (5804), (10410),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10420), (10445), (function-axioms) are
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1404.
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10446) all_56_2 = e1 & op(e2, e3) = e1
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10446) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10447) all_56_2 = e1
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10448) op(e2, e3) = e1
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10438) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10449) all_54_13 = e2
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (10449) imply:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10450) all_52_7 = e2
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (10450) imply:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10451) ~ (all_52_6 = e2)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (10450) imply:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10452) ~ (all_52_11 = e2)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10452) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10453) ~ (all_52_11 = e2)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10391), (10450) imply:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10454) ~ (e3 = e2)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10455) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10455) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10456) all_56_12 = e2 & op(e0, e3) = e2
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10456) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10457) all_56_12 = e2
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10420), (10457) imply:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10458) e3 = e2
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10441), (10458) imply:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10459) all_56_1 = e2
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (168), (169), (230),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (236), (5813), (8557), (10024), (10459),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #478.
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10460) all_56_13 = e2 & op(e0, e2) = e2
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10460) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10461) all_56_13 = e2
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10462) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10462) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10463) all_56_0 = e1 & op(e3, e3) = e1
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10463) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10464) op(e3, e3) = e1
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10447), (10448), (10464), (function-axioms) are
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #965.
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10465) all_56_1 = e1 & op(e3, e2) = e1
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10465) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10466) all_56_1 = e1
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (157), (158),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (206), (207), (208), (209), (228), (373),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8555), (8566), (10023), (10026), (10461),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10466), (function-axioms) are inconsistent by
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #475.
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10467) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10467) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10468) all_56_4 = e1 & op(e3, e1) = e1
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10468) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10469) all_56_4 = e1
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10470) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10470) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10471) all_56_4 = e0 & op(e3, e1) = e0
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10471) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10472) all_56_4 = e0
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10469), (10472) imply:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10473) e1 = e0
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10447), (10473) imply:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10474) all_56_2 = e0
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (167), (222),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (373), (5804), (10380), (10402),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10474), (function-axioms) are inconsistent by
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #726.
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10475) all_56_5 = e0 & op(e2, e1) = e0
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10475) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10476) all_56_5 = e0
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (164), (222), (223), (8558),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10380), (10385), (10402), (10476),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #845.
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10477) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10477) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10478) all_56_8 = e0 & op(e1, e1) = e0
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10478) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10479) op(e1, e1) = e0
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (215), (216), (10410),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10432), (10479), (function-axioms) are
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1385.
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10480) all_56_14 = e0 & op(e0, e1) = e0
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10480) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10481) op(e0, e1) = e0
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10482) all_54_9 = e3
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (10482) imply:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10483) all_52_6 = e3
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10023), (10483) imply:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10484) $false
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10484) is inconsistent.
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10485) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10486) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10486) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10487) all_56_4 = e2 & op(e3, e1) = e2
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10487) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10488) op(e3, e1) = e2
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5808), (10488), (function-axioms) are
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #791.
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10489) all_56_5 = e2 & op(e2, e1) = e2
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10489) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10490) op(e2, e1) = e2
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10415) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10491) all_54_4 = e1
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (10491) imply:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10492) all_52_1 = e1
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10492) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10493) all_52_1 = e1
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (10493) imply:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10494) ~ (all_52_9 = e1)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10494) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10495) ~ (all_52_9 = e1)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (10493) imply:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10496) ~ (all_52_13 = e1)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10497) all_54_6 = e3
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (10025), (10497) are inconsistent by
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1595.
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10498) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10498) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10499) all_54_6 = e2
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (10499) imply:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10500) all_52_9 = e2
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10500) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10501) all_52_9 = e2
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (10501) imply:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10502) ~ (all_52_13 = e2)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10502) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10503) ~ (all_52_13 = e2)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10504) all_54_7 = e3
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (10504) imply:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10505) all_52_13 = e3
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10505) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10506) all_52_13 = e3
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (10506) imply:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10507) ~ (all_52_12 = e3)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10485) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10508) all_54_9 = e2
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (10451), (10508) are inconsistent by
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1150.
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10509) all_54_9 = e1 | all_54_9 = e0
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10510) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10510) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10511) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10511) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10512) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10448), (10512), (function-axioms) are
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #664.
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10513) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (373), (8566), (10513),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #903.
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10514) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10514) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10515) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (206), (210), (10402),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10427), (10428), (10433), (10515),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #483.
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10516) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10516) gives:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10517) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10517) implies:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10518) ~ (all_57_19 = e3)
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10519) op(e3, e2) = all_57_19
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10442), (10518), (10519), (function-axioms) are
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1792.
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10520) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (206), (210), (10402),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10427), (10428), (10490), (10520),
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #712.
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10521) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10521) gives:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10522) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10522) gives:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10523) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10447), (10448), (10481), (10523),
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #474.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10524) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10481), (10507), (10524),
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #840.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10525) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10525) gives:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10526) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (10526), (function-axioms) are
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #803.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10527) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10527) gives:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10528) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10528) implies:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10529) ~ (all_57_28 = e0)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10530) op(e2, e2) = all_57_28
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10380), (10529), (10530), (function-axioms) are
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1781.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10531) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10531) gives:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10532) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10532) implies:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10533) op(e1, e0) = e1
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8559), (10533), (function-axioms) are
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1856.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10534) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10534) implies:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10535) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10535) gives:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10536) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10536) gives:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10537) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10537) implies:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10538) op(e2, e2) = e3
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (10538), (function-axioms) are
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10539) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10539) gives:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10540) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10540) implies:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10541) all_57_18 = e0
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10542) ~ (all_57_31 = e3)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10543) op(e0, e3) = e0
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10544) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (8566), (10027), (10433), (10543),
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10544), (function-axioms) are inconsistent by
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #839.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10545) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10545) gives:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10546) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10546) implies:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10547) op(e1, e1) = all_57_30
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10548) op(e1, e2) = all_57_20
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10549) op(e1, all_57_20) = e2
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (162), (258), (10027), (10374), (10509),
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10547), (10548), (10549), (function-axioms) are
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1147.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10550) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10550) implies:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10551) op(e0, e0) = all_57_31
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10552) op(e0, all_57_18) = e3
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10541), (10552) imply:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10553) op(e0, e0) = e3
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10542), (10551), (10553), (function-axioms) are
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #683.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10554) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10554) implies:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10555) ~ (all_57_19 = e3)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10556) op(e3, e2) = all_57_19
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10442), (10555), (10556), (function-axioms) are
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1792.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10557) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10557) gives:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10558) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10558) implies:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10559) ~ (all_57_20 = e1)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10560) op(e1, e2) = all_57_20
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10433), (10559), (10560), (function-axioms) are
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1497.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10561) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10447), (10448), (10490), (10561),
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #632.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10562) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (8558), (10377), (10503), (10562) are
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1180.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10563) ~ (all_54_6 = e2)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (261), (10563) imply:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10564) ~ (all_52_9 = e2)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10490), (10564), (function-axioms) are
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1838.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10565) all_54_4 = e0
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (10372), (10565) are inconsistent by
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1415.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10566) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (10027), (10453), (10566),
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #473.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10567) all_56_9 = e1 & op(e3, e0) = e1
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10567) implies:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10568) op(e3, e0) = e1
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (8557), (10568), (function-axioms) are
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1848.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10569) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10569) gives:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10570) all_56_14 = e2 & op(e0, e1) = e2
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (10453), (10570), (function-axioms) are
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #789.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10571) all_56_15 = e2 & op(e0, e0) = e2
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10571) implies:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10572) op(e0, e0) = e2
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (206), (210), (10402),
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10427), (10428), (10572), (function-axioms) are
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1664.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10573) all_54_13 = e1 | all_54_13 = e0
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (8555), (10375), (10573) are inconsistent
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1501.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10574) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (213), (215),
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (8554), (10027), (10432), (10574),
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #862.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10575) all_56_3 = e3 & op(e2, e2) = e3
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10575) implies:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10576) op(e2, e2) = e3
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (10576), (function-axioms) are
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10577) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (206),
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (8555), (10023), (10420), (10577),
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #476.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10578) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (8559), (10027), (10578),
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1129.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10579) all_56_15 = e2 & op(e0, e0) = e2
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10579) implies:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10580) op(e0, e0) = e2
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8566), (10580), (function-axioms) are
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | (10581) all_56_12 = e0 & op(e0, e3) = e0
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10581) implies:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | (10582) all_56_12 = e0
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | (10583) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (222), (223),
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | (5813), (10402), (10583), (function-axioms) are
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #485.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | (10584) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10584) gives:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | (10585) all_56_6 = e3 & op(e1, e3) = e3
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10022), (10585), (function-axioms) are
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1626.
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | (10586) all_56_12 = e3 & op(e0, e3) = e3
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10586) implies:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | (10587) all_56_12 = e3
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10582), (10587) imply:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | (10588) e3 = e0
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10588) implies:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | (10589) e3 = e0
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10402), (10589) imply:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | (10590) all_56_10 = e0
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (10591) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10591) gives:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10592) all_56_2 = e3 & op(e2, e3) = e3
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10592) implies:
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10593) all_56_2 = e3
% 247.38/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (164), (167), (222), (223),
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5804), (8558), (10380), (10590), (10593),
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | #518.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10594) all_56_3 = e3 & op(e2, e2) = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10594) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10595) op(e2, e2) = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (10595), (function-axioms) are
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (217), (218),
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (8556), (10027), (10398), (10590),
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | #487.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.02 | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | (10596) ~ (all_54_12 = e3)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | (10597) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 247.38/43.02 | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | REDUCE: (249), (10596) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | (10598) ~ (all_52_3 = e3)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | BETA: splitting (10597) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | (10599) all_54_12 = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (5806), (10599) are inconsistent by
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | sub-proof #1692.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | (10600) ~ (all_54_12 = e2)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | (10601) all_54_12 = e1 | all_54_12 = e0
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10601) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | (10602) all_54_12 = e1
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (8554), (10602) are inconsistent by
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | sub-proof #1691.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | (10603) all_54_12 = e0
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (10603) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | (10604) all_52_3 = e0
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | SIMP: (10604) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | (10605) all_52_3 = e0
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (10605) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | (10606) ~ (all_52_2 = e0)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (10605) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | (10607) ~ (all_52_7 = e0)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (10605) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | (10608) ~ (all_52_11 = e0)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | SIMP: (10608) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | (10609) ~ (all_52_11 = e0)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5806), (10605) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | (10610) ~ (e2 = e0)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (10605) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | (10611) op(e0, e3) = e0
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | (10612) all_54_14 = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (10026), (10612) are inconsistent by
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1138.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | (10613) ~ (all_54_14 = e3)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | (10614) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | (10615) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (157), (158),
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (206), (207), (208), (209), (226),
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (373), (8555), (8566), (10023),
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | (10026), (10380), (10606), (10615),
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | #470.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | (10616) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10616) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | (10617) all_56_8 = e0 & op(e1, e1) = e0
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10617) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | (10618) op(e1, e1) = e0
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10027), (10618), (function-axioms) are
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1771.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | (10619) all_56_11 = e0 & op(e1, e0) = e0
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10619) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | (10620) all_56_11 = e0
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | (10621) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10621) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (10622) all_56_9 = e2 & op(e3, e0) = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10622) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (10623) all_56_9 = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (67), (100),
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (110), (125), (133), (134), (139), (145), (157),
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (167),
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (197), (206), (212), (213),
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (217), (218), (219), (221), (222),
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (229), (236), (238),
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (260), (318), (352), (354), (360), (373),
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (5801), (5803), (5804), (5805), (5807), (5813),
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (8555), (8556), (8559), (8565), (10024), (10026),
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (10027), (10035), (10037), (10623),
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | #486.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (10624) all_56_10 = e2 & op(e2, e0) = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10624) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (10625) all_56_10 = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10626) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10626) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10627) all_56_9 = e3 & op(e3, e0) = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10627) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10628) all_56_9 = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10629) op(e3, e0) = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10630) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10630) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10631) all_56_2 = e3 & op(e2, e3) = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10631) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10632) all_56_2 = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10614) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10633) all_54_14 = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (10633) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10634) all_52_11 = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (10634) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10635) ~ (all_52_7 = e2)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (10634) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10636) ~ (all_52_9 = e2)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10637) all_54_13 = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (10637) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10638) all_52_7 = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (10638) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10639) ~ (all_52_4 = e3)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10640) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (5808), (10636), (10640),
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #741.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10641) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10641) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10642) all_56_8 = e2 & op(e1, e1) = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10642) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10643) op(e1, e1) = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10027), (10643), (function-axioms) are
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10644) all_56_14 = e2 & op(e0, e1) = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10644) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10645) all_56_14 = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10646) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (10639), (10646),
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1774.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10647) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10647) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10648) all_56_7 = e3 & op(e1, e2) = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10648) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10649) op(e1, e2) = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (10023), (10649), (function-axioms) are
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1702.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10650) all_56_13 = e3 & op(e0, e2) = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10650) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10651) all_56_13 = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10652) all_54_1 = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (10652) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10653) all_52_4 = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10639), (10653) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10654) $false
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10654) is inconsistent.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10655) ~ (all_54_1 = e3)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10656) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10656) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10657) all_54_1 = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (10657) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10658) all_52_4 = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5807), (10658) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10659) $false
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10659) is inconsistent.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10660) ~ (all_54_1 = e2)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10661) all_54_1 = e1 | all_54_1 = e0
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10662) all_56_15 = e0 & op(e0, e0) = e0
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8565), (10662) are inconsistent by sub-proof
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1564.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10663) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10663) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10664) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10661) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10665) all_54_1 = e1
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (10665) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10666) all_52_4 = e1
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (10666) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10667) ~ (all_52_6 = e1)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10667) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10668) ~ (all_52_6 = e1)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (10666) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10669) ~ (all_52_8 = e1)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10669) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10670) ~ (all_52_8 = e1)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (10666) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10671) ~ (all_52_12 = e1)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10639), (10666) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10672) ~ (e3 = e1)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5807), (10666) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10673) ~ (e2 = e1)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10674) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10674) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10675) all_56_6 = e2 & op(e1, e3) = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10675) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10676) op(e1, e3) = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5805), (10676), (function-axioms) are
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #806.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10677) all_56_7 = e2 & op(e1, e2) = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10677) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10678) op(e1, e2) = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10679) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10679) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10680) all_56_0 = e1 & op(e3, e3) = e1
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10680) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10681) op(e3, e3) = e1
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5813), (10681), (function-axioms) are
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10682) all_56_1 = e1 & op(e3, e2) = e1
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10682) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10683) all_56_1 = e1
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10684) all_54_2 = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (10024), (10684) are inconsistent by
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1617.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10685) ~ (all_54_2 = e3)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10686) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10687) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10687) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10688) all_56_4 = e0 & op(e3, e1) = e0
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10688) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10689) all_56_4 = e0
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10686) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10690) all_54_2 = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (5808), (10690) are inconsistent by
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1596.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10691) all_54_2 = e1 | all_54_2 = e0
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10691) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10692) all_54_2 = e1
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (10670), (10692) are inconsistent by
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1615.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10693) all_54_2 = e0
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (10693) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10694) all_52_8 = e0
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10694) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10695) all_52_8 = e0
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (10695) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10696) ~ (all_52_12 = e0)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10696) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10697) ~ (all_52_12 = e0)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10698) all_54_3 = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (10698) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10699) all_52_12 = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10699) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10700) all_52_12 = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (10700) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10701) ~ (all_52_13 = e3)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10701) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10702) ~ (all_52_13 = e3)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (10700) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10703) ~ (all_52_14 = e3)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10703) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10704) ~ (all_52_14 = e3)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10705) all_54_7 = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (10702), (10705) are inconsistent by
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1420.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10706) ~ (all_54_7 = e3)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10707) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10707) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10708) all_54_7 = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (10708) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10709) all_52_13 = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10709) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10710) all_52_13 = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (10710) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10711) ~ (all_52_14 = e2)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10711) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10712) ~ (all_52_14 = e2)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10702), (10710) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10713) ~ (e3 = e2)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (10710) imply:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10714) op(e2, e0) = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10715) all_54_11 = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (10704), (10715) are inconsistent by
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1184.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10716) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10717) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10717) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10718) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10718) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10719) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5804), (10719), (function-axioms) are
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1721.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10720) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (36), (158), (207), (373), (8555),
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10611), (10645), (10720), (function-axioms) are
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #545.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10721) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10721) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10722) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10722) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10723) all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10723) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10724) op(e3, e2) = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (133), (170), (201), (203), (250), (270),
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (272), (5809), (8557), (8559), (10712), (10716),
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10724), (function-axioms) are inconsistent by
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1374.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10725) all_57_19 = e3 & all_57_31 = e2 & ~ (all_57_21 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e2) & op(e3, e3) =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e0, e2) =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e0) = e2 & $i(all_57_21) &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10725) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10726) op(e0, e0) = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (207), (10645), (10651),
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10664), (10726), (function-axioms) are
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1631.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10727) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10727) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10728) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10728) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10729) op(e1, e2) = e1
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10678), (10729), (function-axioms) are
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #768.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10730) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10730) gives:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10731) all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_30)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10731) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10732) op(e0, e0) = e2
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (207), (10645), (10651),
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10664), (10732), (function-axioms) are
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1631.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10733) all_57_22 = e3 & all_57_28 = e1 & ~ (all_57_23 =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & $i(all_57_23) &
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10733) implies:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10734) op(e2, e2) = e1
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10380), (10734), (function-axioms) are
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1795.
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10735) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10735) gives:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10736) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10736) gives:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10737) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (169), (5813), (10024), (10737),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #480.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10738) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (218), (219),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (239), (10611), (10689), (10714), (10738),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #513.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10739) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10739) gives:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10740) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5813), (10740), (function-axioms) are
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #803.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10741) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10741) gives:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10742) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10742) implies:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10743) ~ (all_57_28 = e0)
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10744) op(e2, e2) = all_57_28
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10380), (10743), (10744), (function-axioms) are
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1781.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10745) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10745) gives:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10746) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10746) implies:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10747) op(e1, e0) = e1
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8559), (10747), (function-axioms) are
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1856.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10748) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10748) implies:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10749) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (158), (160), (162), (214),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (5813), (8559), (10027), (10037), (10375),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10668), (10749), (function-axioms) are
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #542.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10750) all_54_7 = e1 | all_54_7 = e0
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (8558), (10377), (10750) are inconsistent
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #705.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10751) ~ (all_54_3 = e3)
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (270), (10751) imply:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10752) ~ (all_52_12 = e3)
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10629), (10752), (function-axioms) are
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1862.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10753) all_56_5 = e0 & op(e2, e1) = e0
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10753) implies:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10754) all_56_5 = e0
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10755) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10755) gives:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10756) all_56_2 = e1 & op(e2, e3) = e1
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10756) implies:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10757) all_56_2 = e1
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (373), (10630), (10757),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1264.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10758) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10758) gives:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10759) all_56_5 = e3 & op(e2, e1) = e3
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10759) implies:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10760) all_56_5 = e3
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (217), (218),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (8556), (10027), (10760), (function-axioms)
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1036.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10761) all_56_10 = e3 & op(e2, e0) = e3
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10761) implies:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10762) all_56_10 = e3
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10763) all_56_15 = e0 & op(e0, e0) = e0
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10763) implies:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10764) all_56_15 = e0
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8565), (10764) imply:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10765) e1 = e0
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10757), (10765) imply:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10766) all_56_2 = e0
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (167), (222),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (373), (5804), (10380), (10762),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10766), (function-axioms) are inconsistent by
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #726.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10767) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (222), (223),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5813), (10762), (10767), (function-axioms) are
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #485.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10768) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10768) gives:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10769) all_56_6 = e3 & op(e1, e3) = e3
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10022), (10769), (function-axioms) are
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1626.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10770) all_56_12 = e3 & op(e0, e3) = e3
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10770) implies:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10771) all_56_12 = e3
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10772) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10772) gives:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10773) all_56_1 = e3 & op(e3, e2) = e3
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10773) implies:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10774) all_56_1 = e3
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10683), (10774) imply:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10775) e3 = e1
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10775) implies:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10776) e3 = e1
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10762), (10776) imply:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10777) all_56_10 = e1
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (223), (224),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (10380), (10754), (10777),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1053.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10778) all_56_3 = e3 & op(e2, e2) = e3
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10778) implies:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10779) op(e2, e2) = e3
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (10779), (function-axioms) are
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10647) gives:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10780) all_56_7 = e3 & op(e1, e2) = e3
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10780) implies:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10781) op(e1, e2) = e3
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (10023), (10781), (function-axioms) are
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1702.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (208), (8566), (10651),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10664), (10771), (function-axioms) are
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1563.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10782) all_56_3 = e1 & op(e2, e2) = e1
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10782) implies:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10783) op(e2, e2) = e1
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10380), (10783), (function-axioms) are
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1795.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10784) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (223), (224),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (10380), (10754), (10784),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #469.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10785) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10785) gives:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10786) all_56_8 = e0 & op(e1, e1) = e0
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10786) implies:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10787) op(e1, e1) = e0
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10027), (10787), (function-axioms) are
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1771.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10788) all_56_14 = e0 & op(e0, e1) = e0
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10788) implies:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10789) op(e0, e1) = e0
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (157), (271), (5808), (10670), (10686),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10789), (function-axioms) are inconsistent by
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #602.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10790) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10790) gives:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10791) all_56_4 = e1 & op(e3, e1) = e1
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10670), (10791), (function-axioms) are
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10792) all_56_9 = e1 & op(e3, e0) = e1
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10792) implies:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10793) all_56_9 = e1
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (169), (170), (236), (5813), (10024),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10639), (10793), (function-axioms) are
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #762.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10794) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10794) gives:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10795) all_56_8 = e2 & op(e1, e1) = e2
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10795) implies:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10796) op(e1, e1) = e2
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10027), (10796), (function-axioms) are
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10797) all_56_11 = e2 & op(e1, e0) = e2
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10797) implies:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10798) all_56_11 = e2
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10620), (10798) imply:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10799) e2 = e0
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10625), (10799) imply:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10800) all_56_10 = e0
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (164), (167), (222), (223),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5804), (8558), (10380), (10632), (10800),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #518.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10801) all_54_1 = e0
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (10801) imply:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10802) all_52_4 = e0
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10373), (10802) imply:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10803) $false
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10803) is inconsistent.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10804) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (8555), (10375), (10635), (10804) are
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1500.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10805) all_54_14 = e1 | all_54_14 = e0
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (8556), (10609), (10805) are inconsistent
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1785.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10806) all_56_3 = e3 & op(e2, e2) = e3
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10806) implies:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10807) op(e2, e2) = e3
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (10807), (function-axioms) are
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10808) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10808) gives:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10809) all_56_5 = e3 & op(e2, e1) = e3
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10809) implies:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10810) all_56_5 = e3
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (217), (218),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (8556), (10027), (10810), (function-axioms)
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1036.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10811) all_56_10 = e3 & op(e2, e0) = e3
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10811) implies:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10812) all_56_10 = e3
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10625), (10812) imply:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10813) e3 = e2
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10813) implies:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10814) e3 = e2
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10628), (10814) imply:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10815) all_56_9 = e2
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (67), (100),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (110), (125), (133), (134), (139), (145), (157),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (167),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (197), (206), (212), (213),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (217), (218), (219), (221), (222),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (229), (236), (238),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (260), (318), (352), (354), (360), (373),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5801), (5803), (5804), (5805), (5807), (5813),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8555), (8556), (8559), (8565), (10024), (10026),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10027), (10035), (10037), (10815),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #486.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10816) all_56_10 = e3 & op(e2, e0) = e3
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10816) implies:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10817) all_56_10 = e3
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10625), (10817) are inconsistent by
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1240.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10818) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (213), (214),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (8559), (8566), (10027), (10035), (10818),
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | #482.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | (10819) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10819) gives:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (10820) all_56_11 = e2 & op(e1, e0) = e2
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10820) implies:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (10821) all_56_11 = e2
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10620), (10821) are inconsistent by
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1768.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (10822) all_56_15 = e2 & op(e0, e0) = e2
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10822) implies:
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (10823) op(e0, e0) = e2
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8566), (10823), (function-axioms) are
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | | End of split
% 247.38/43.03 | | | | | | | | | | | | | | | | |
% 247.38/43.03 | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.03 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | (10824) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 247.38/43.04 | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | BETA: splitting (10824) gives:
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.04 | | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | | (10825) all_56_7 = e0 & op(e1, e2) = e0
% 247.38/43.04 | | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | | ALPHA: (10825) implies:
% 247.38/43.04 | | | | | | | | | | | | | | | | | | (10826) all_56_7 = e0
% 247.38/43.04 | | | | | | | | | | | | | | | | | | (10827) op(e1, e2) = e0
% 247.38/43.04 | | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (157), (158),
% 247.38/43.04 | | | | | | | | | | | | | | | | | | (162), (206), (207), (208), (209), (226), (227),
% 247.38/43.04 | | | | | | | | | | | | | | | | | | (228), (373), (8555), (8566), (10023), (10026),
% 247.38/43.04 | | | | | | | | | | | | | | | | | | (10380), (10826), (10827), (function-axioms) are
% 247.38/43.04 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #471.
% 247.38/43.04 | | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.04 | | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | | (10828) all_56_13 = e0 & op(e0, e2) = e0
% 247.38/43.04 | | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | | ALPHA: (10828) implies:
% 247.38/43.04 | | | | | | | | | | | | | | | | | | (10829) op(e0, e2) = e0
% 247.38/43.04 | | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (10375), (10829), (function-axioms) are
% 247.38/43.04 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #802.
% 247.38/43.04 | | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | End of split
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | End of split
% 247.38/43.04 | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | End of split
% 247.38/43.04 | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | Case 2:
% 247.38/43.04 | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | (10830) all_24_2 = e1
% 247.38/43.04 | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | COMBINE_EQS: (318), (10830) imply:
% 247.38/43.04 | | | | | | | | | | | | | | | (10831) all_4_2 = e1
% 247.38/43.04 | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | SIMP: (10831) implies:
% 247.38/43.04 | | | | | | | | | | | | | | | (10832) all_4_2 = e1
% 247.38/43.04 | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | REDUCE: (352), (10832) imply:
% 247.38/43.04 | | | | | | | | | | | | | | | (10833) ~ (all_52_4 = e1)
% 247.38/43.04 | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | REDUCE: (354), (10832) imply:
% 247.38/43.04 | | | | | | | | | | | | | | | (10834) ~ (all_52_6 = e1)
% 247.38/43.04 | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | REDUCE: (373), (10832) imply:
% 247.38/43.04 | | | | | | | | | | | | | | | (10835) ~ (e3 = e1)
% 247.38/43.04 | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | REDUCE: (36), (10832) imply:
% 247.38/43.04 | | | | | | | | | | | | | | | (10836) op(e2, e2) = e1
% 247.38/43.04 | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 247.38/43.04 | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | Case 1:
% 247.38/43.04 | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | (10837) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 247.38/43.04 | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 247.38/43.04 | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (5813), (10833), (10837),
% 247.38/43.04 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.04 | | | | | | | | | | | | | | | | #776.
% 247.38/43.04 | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | Case 2:
% 247.38/43.04 | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | (10838) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 247.38/43.04 | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 247.38/43.04 | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | BETA: splitting (10838) gives:
% 247.38/43.04 | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | (10839) all_56_4 = e1 & op(e3, e1) = e1
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | ALPHA: (10839) implies:
% 247.38/43.04 | | | | | | | | | | | | | | | | | (10840) op(e3, e1) = e1
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (135), (158), (160),
% 247.38/43.04 | | | | | | | | | | | | | | | | | (162), (167), (170), (203), (214), (238), (272),
% 247.38/43.04 | | | | | | | | | | | | | | | | | (5804), (5807), (5813), (8559), (8566), (10027),
% 247.38/43.04 | | | | | | | | | | | | | | | | | (10833), (10834), (10836), (10840),
% 247.38/43.04 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.04 | | | | | | | | | | | | | | | | | #494.
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | (10841) all_56_9 = e1 & op(e3, e0) = e1
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | ALPHA: (10841) implies:
% 247.38/43.04 | | | | | | | | | | | | | | | | | (10842) op(e3, e0) = e1
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (8557), (10842), (function-axioms) are
% 247.38/43.04 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1848.
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | End of split
% 247.38/43.04 | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | End of split
% 247.38/43.04 | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | End of split
% 247.38/43.04 | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | Case 2:
% 247.38/43.04 | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | (10843) all_56_14 = e3 & op(e0, e1) = e3
% 247.38/43.04 | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | ALPHA: (10843) implies:
% 247.38/43.04 | | | | | | | | | | | | | | (10844) op(e0, e1) = e3
% 247.38/43.04 | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | REF_CLOSE: (157), (10026), (10844), (function-axioms) are
% 247.38/43.04 | | | | | | | | | | | | | | inconsistent by sub-proof #1371.
% 247.38/43.04 | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | End of split
% 247.38/43.04 | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | End of split
% 247.38/43.04 | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | End of split
% 247.38/43.04 | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | End of split
% 247.38/43.04 | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | End of split
% 247.38/43.04 | | | | | | | | |
% 247.38/43.04 | | | | | | | | End of split
% 247.38/43.04 | | | | | | | |
% 247.38/43.04 | | | | | | | End of split
% 247.38/43.04 | | | | | | |
% 247.38/43.04 | | | | | | Case 2:
% 247.38/43.04 | | | | | | |
% 247.38/43.04 | | | | | | | (10845) all_56_1 = e2 & op(e3, e2) = e2
% 247.38/43.04 | | | | | | |
% 247.38/43.04 | | | | | | | ALPHA: (10845) implies:
% 247.38/43.04 | | | | | | | (10846) op(e3, e2) = e2
% 247.38/43.04 | | | | | | |
% 247.38/43.04 | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e2,
% 247.38/43.04 | | | | | | | e2, e3, simplifying with (170), (10846) gives:
% 247.38/43.04 | | | | | | | (10847) all_52_4 = e2
% 247.38/43.04 | | | | | | |
% 247.38/43.04 | | | | | | | REDUCE: (5807), (10847) imply:
% 247.38/43.04 | | | | | | | (10848) $false
% 247.38/43.04 | | | | | | |
% 247.38/43.04 | | | | | | | CLOSE: (10848) is inconsistent.
% 247.38/43.04 | | | | | | |
% 247.38/43.04 | | | | | | End of split
% 247.38/43.04 | | | | | |
% 247.38/43.04 | | | | | Case 2:
% 247.38/43.04 | | | | | |
% 247.38/43.04 | | | | | | (10849) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 &
% 247.38/43.04 | | | | | | op(e3, e0) = e2)
% 247.38/43.04 | | | | | |
% 247.38/43.04 | | | | | | BETA: splitting (10849) gives:
% 247.38/43.04 | | | | | |
% 247.38/43.04 | | | | | | Case 1:
% 247.38/43.04 | | | | | | |
% 247.38/43.04 | | | | | | | (10850) all_56_4 = e2 & op(e3, e1) = e2
% 247.38/43.04 | | | | | | |
% 247.38/43.04 | | | | | | | ALPHA: (10850) implies:
% 247.38/43.04 | | | | | | | (10851) op(e3, e1) = e2
% 247.38/43.04 | | | | | | |
% 247.38/43.04 | | | | | | | REF_CLOSE: (169), (5808), (10851), (function-axioms) are
% 247.38/43.04 | | | | | | | inconsistent by sub-proof #791.
% 247.38/43.04 | | | | | | |
% 247.38/43.04 | | | | | | Case 2:
% 247.38/43.04 | | | | | | |
% 247.38/43.04 | | | | | | | (10852) all_56_9 = e2 & op(e3, e0) = e2
% 247.38/43.04 | | | | | | |
% 247.38/43.04 | | | | | | | ALPHA: (10852) implies:
% 247.38/43.04 | | | | | | | (10853) op(e3, e0) = e2
% 247.38/43.04 | | | | | | |
% 247.38/43.04 | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12, e2,
% 247.38/43.04 | | | | | | | e0, e3, simplifying with (168), (10853) gives:
% 247.38/43.04 | | | | | | | (10854) all_52_12 = e2
% 247.38/43.04 | | | | | | |
% 247.38/43.04 | | | | | | | REDUCE: (5809), (10854) imply:
% 247.38/43.04 | | | | | | | (10855) $false
% 247.38/43.04 | | | | | | |
% 247.38/43.04 | | | | | | | CLOSE: (10855) is inconsistent.
% 247.38/43.04 | | | | | | |
% 247.38/43.04 | | | | | | End of split
% 247.38/43.04 | | | | | |
% 247.38/43.04 | | | | | End of split
% 247.38/43.04 | | | | |
% 247.38/43.04 | | | | End of split
% 247.38/43.04 | | | |
% 247.38/43.04 | | | Case 2:
% 247.38/43.04 | | | |
% 247.38/43.04 | | | | (10856) all_10_2 = e2
% 247.38/43.04 | | | | (10857) ( ~ (all_10_0 = e0) & op(all_10_1, all_10_1) = all_10_0 &
% 247.38/43.04 | | | | op(e2, e1) = all_10_1 & $i(all_10_0) & $i(all_10_1)) | ( ~
% 247.38/43.04 | | | | (all_10_1 = e3) & op(e2, e1) = all_10_1 & $i(all_10_1))
% 247.38/43.04 | | | |
% 247.38/43.04 | | | | COMBINE_EQS: (332), (10856) imply:
% 247.38/43.04 | | | | (10858) all_34_2 = e2
% 247.38/43.04 | | | |
% 247.38/43.04 | | | | REDUCE: (350), (10856) imply:
% 247.38/43.04 | | | | (10859) ~ (all_52_2 = e2)
% 247.38/43.04 | | | |
% 247.38/43.04 | | | | REDUCE: (361), (10856) imply:
% 247.38/43.04 | | | | (10860) ~ (all_52_6 = e2)
% 247.38/43.04 | | | |
% 247.38/43.04 | | | | REDUCE: (363), (10856) imply:
% 247.38/43.04 | | | | (10861) ~ (all_52_8 = e2)
% 247.38/43.04 | | | |
% 247.38/43.04 | | | | REDUCE: (364), (10856) imply:
% 247.38/43.04 | | | | (10862) ~ (all_52_9 = e2)
% 247.38/43.04 | | | |
% 247.38/43.04 | | | | REDUCE: (366), (10856) imply:
% 247.38/43.04 | | | | (10863) ~ (all_52_11 = e2)
% 247.38/43.04 | | | |
% 247.38/43.04 | | | | REDUCE: (368), (10856) imply:
% 247.38/43.04 | | | | (10864) ~ (all_52_14 = e2)
% 247.38/43.04 | | | |
% 247.38/43.04 | | | | REDUCE: (45), (10856) imply:
% 247.38/43.04 | | | | (10865) op(e1, e1) = e2
% 247.38/43.04 | | | |
% 247.38/43.04 | | | | BETA: splitting (49) gives:
% 247.38/43.04 | | | |
% 247.38/43.04 | | | | Case 1:
% 247.38/43.04 | | | | |
% 247.38/43.04 | | | | | (10866) ~ (all_12_2 = e2)
% 247.38/43.04 | | | | |
% 247.38/43.04 | | | | | REDUCE: (324), (10866) imply:
% 247.38/43.04 | | | | | (10867) ~ (all_6_2 = e2)
% 247.38/43.04 | | | | |
% 247.38/43.04 | | | | | BETA: splitting (52) gives:
% 247.38/43.04 | | | | |
% 247.38/43.04 | | | | | Case 1:
% 247.38/43.04 | | | | | |
% 247.38/43.04 | | | | | | (10868) ~ (all_14_2 = e1)
% 247.38/43.04 | | | | | |
% 247.38/43.04 | | | | | | BETA: splitting (58) gives:
% 247.38/43.04 | | | | | |
% 247.38/43.04 | | | | | | Case 1:
% 247.38/43.04 | | | | | | |
% 247.38/43.04 | | | | | | | (10869) ~ (all_18_2 = e3)
% 247.38/43.04 | | | | | | |
% 247.38/43.04 | | | | | | | REDUCE: (301), (10869) imply:
% 247.38/43.04 | | | | | | | (10870) ~ (all_14_2 = e3)
% 247.38/43.04 | | | | | | |
% 247.38/43.04 | | | | | | | BETA: splitting (67) gives:
% 247.38/43.04 | | | | | | |
% 247.38/43.04 | | | | | | | Case 1:
% 247.38/43.04 | | | | | | | |
% 247.38/43.04 | | | | | | | | (10871) ~ (all_24_2 = e1)
% 247.38/43.04 | | | | | | | |
% 247.38/43.04 | | | | | | | | REDUCE: (318), (10871) imply:
% 247.38/43.04 | | | | | | | | (10872) ~ (all_4_2 = e1)
% 247.38/43.04 | | | | | | | |
% 247.38/43.04 | | | | | | | | BETA: splitting (70) gives:
% 247.38/43.04 | | | | | | | |
% 247.38/43.04 | | | | | | | | Case 1:
% 247.38/43.04 | | | | | | | | |
% 247.38/43.04 | | | | | | | | | (10873) ~ (all_26_2 = e1)
% 247.38/43.04 | | | | | | | | |
% 247.38/43.04 | | | | | | | | | REDUCE: (307), (10873) imply:
% 247.38/43.04 | | | | | | | | | (10874) ~ (all_6_2 = e1)
% 247.38/43.04 | | | | | | | | |
% 247.38/43.04 | | | | | | | | | BETA: splitting (204) gives:
% 247.38/43.04 | | | | | | | | |
% 247.38/43.04 | | | | | | | | | Case 1:
% 247.38/43.04 | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | (10875) all_54_0 = e3
% 247.38/43.04 | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | COMBINE_EQS: (279), (10875) imply:
% 247.38/43.04 | | | | | | | | | | (10876) all_6_2 = e3
% 247.38/43.04 | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | REDUCE: (344), (10876) imply:
% 247.38/43.04 | | | | | | | | | | (10877) ~ (all_52_4 = e3)
% 247.38/43.04 | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | REDUCE: (348), (10876) imply:
% 247.38/43.04 | | | | | | | | | | (10878) ~ (all_52_12 = e3)
% 247.38/43.04 | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | REDUCE: (39), (10876) imply:
% 247.38/43.04 | | | | | | | | | | (10879) op(e3, e3) = e3
% 247.38/43.04 | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | BETA: splitting (73) gives:
% 247.38/43.04 | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | Case 1:
% 247.38/43.04 | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | (10880) ~ (all_28_2 = e2)
% 247.38/43.04 | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | REDUCE: (330), (10880) imply:
% 247.38/43.04 | | | | | | | | | | | (10881) ~ (all_14_2 = e2)
% 247.38/43.04 | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | BETA: splitting (189) gives:
% 247.38/43.04 | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | Case 1:
% 247.38/43.04 | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | (10882) all_54_15 = e3
% 247.38/43.04 | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | COMBINE_EQS: (246), (10882) imply:
% 247.38/43.04 | | | | | | | | | | | | (10883) all_14_2 = e3
% 247.38/43.04 | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | REDUCE: (10870), (10883) imply:
% 247.38/43.04 | | | | | | | | | | | | (10884) $false
% 247.38/43.04 | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | CLOSE: (10884) is inconsistent.
% 247.38/43.04 | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | Case 2:
% 247.38/43.04 | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | (10885) ~ (all_54_15 = e3)
% 247.38/43.04 | | | | | | | | | | | | (10886) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 247.38/43.04 | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | BETA: splitting (10886) gives:
% 247.38/43.04 | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | Case 1:
% 247.38/43.04 | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | (10887) all_54_15 = e2
% 247.38/43.04 | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | COMBINE_EQS: (246), (10887) imply:
% 247.38/43.04 | | | | | | | | | | | | | (10888) all_14_2 = e2
% 247.38/43.04 | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | REDUCE: (10881), (10888) imply:
% 247.38/43.04 | | | | | | | | | | | | | (10889) $false
% 247.38/43.04 | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | CLOSE: (10889) is inconsistent.
% 247.38/43.04 | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | Case 2:
% 247.38/43.04 | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | (10890) ~ (all_54_15 = e2)
% 247.38/43.04 | | | | | | | | | | | | | (10891) all_54_15 = e1 | all_54_15 = e0
% 247.38/43.04 | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | BETA: splitting (10891) gives:
% 247.38/43.04 | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | Case 1:
% 247.38/43.04 | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | (10892) all_54_15 = e1
% 247.38/43.04 | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | COMBINE_EQS: (246), (10892) imply:
% 247.38/43.04 | | | | | | | | | | | | | | (10893) all_14_2 = e1
% 247.38/43.04 | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | REDUCE: (10868), (10893) imply:
% 247.38/43.04 | | | | | | | | | | | | | | (10894) $false
% 247.38/43.04 | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | CLOSE: (10894) is inconsistent.
% 247.38/43.04 | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | Case 2:
% 247.38/43.04 | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | (10895) all_54_15 = e0
% 247.38/43.04 | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | COMBINE_EQS: (246), (10895) imply:
% 247.38/43.04 | | | | | | | | | | | | | | (10896) all_14_2 = e0
% 247.38/43.04 | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | REDUCE: (351), (10896) imply:
% 247.38/43.04 | | | | | | | | | | | | | | (10897) ~ (all_52_3 = e0)
% 247.38/43.04 | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | REDUCE: (362), (10896) imply:
% 247.38/43.04 | | | | | | | | | | | | | | (10898) ~ (all_52_7 = e0)
% 247.38/43.04 | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | REDUCE: (369), (10896) imply:
% 247.38/43.04 | | | | | | | | | | | | | | (10899) ~ (all_52_11 = e0)
% 247.38/43.04 | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | REDUCE: (370), (10896) imply:
% 247.38/43.04 | | | | | | | | | | | | | | (10900) ~ (all_52_12 = e0)
% 247.38/43.04 | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | REDUCE: (10870), (10896) imply:
% 247.38/43.04 | | | | | | | | | | | | | | (10901) ~ (e3 = e0)
% 247.38/43.04 | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | REDUCE: (10881), (10896) imply:
% 247.38/43.04 | | | | | | | | | | | | | | (10902) ~ (e2 = e0)
% 247.38/43.04 | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | REDUCE: (51), (10896) imply:
% 247.38/43.04 | | | | | | | | | | | | | | (10903) op(e0, e0) = e0
% 247.38/43.04 | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 247.38/43.04 | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | Case 1:
% 247.38/43.04 | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | (10904) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.38/43.04 | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.38/43.04 | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.38/43.04 | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.38/43.04 | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.38/43.04 | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 247.38/43.04 | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.38/43.04 | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 247.38/43.04 | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 247.38/43.04 | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 247.38/43.04 | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 247.38/43.04 | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 247.38/43.04 | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 247.38/43.04 | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.38/43.04 | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 247.38/43.04 | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 247.38/43.04 | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 247.38/43.04 | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 247.38/43.04 | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 247.38/43.04 | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 247.38/43.04 | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 247.38/43.04 | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.38/43.04 | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 247.38/43.04 | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.38/43.04 | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 247.38/43.04 | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 247.38/43.04 | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | BETA: splitting (10904) gives:
% 247.38/43.04 | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | Case 1:
% 247.38/43.04 | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | (10905) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.38/43.04 | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.38/43.04 | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.38/43.04 | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.38/43.04 | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.38/43.04 | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 247.38/43.04 | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.38/43.04 | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 247.38/43.04 | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 247.38/43.04 | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 247.38/43.04 | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 247.38/43.04 | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 247.38/43.04 | | | | | | | | | | | | | | | | $i(all_57_30))
% 247.38/43.04 | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | BETA: splitting (10905) gives:
% 247.38/43.04 | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | (10906) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.38/43.04 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.38/43.04 | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.38/43.04 | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.38/43.04 | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (51), (10865), (10870), (10906),
% 247.38/43.04 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.04 | | | | | | | | | | | | | | | | | #468.
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | (10907) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 247.38/43.04 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 247.38/43.04 | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 247.38/43.04 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 247.38/43.04 | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (51), (373), (10870), (10907),
% 247.38/43.04 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.04 | | | | | | | | | | | | | | | | | #1871.
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | End of split
% 247.38/43.04 | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | Case 2:
% 247.38/43.04 | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | (10908) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 247.38/43.04 | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 247.38/43.04 | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 247.38/43.04 | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 247.38/43.04 | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 247.38/43.04 | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.38/43.04 | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 247.38/43.04 | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 247.38/43.04 | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 247.38/43.04 | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 247.38/43.04 | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 247.38/43.04 | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 247.38/43.04 | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 247.38/43.04 | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 247.38/43.04 | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 247.38/43.04 | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.38/43.04 | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 247.38/43.04 | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | BETA: splitting (10908) gives:
% 247.38/43.04 | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | (10909) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 247.38/43.04 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 247.38/43.04 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 247.38/43.04 | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 247.38/43.04 | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 247.38/43.04 | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (10877), (10903), (10909),
% 247.38/43.04 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.04 | | | | | | | | | | | | | | | | | #1281.
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | (10910) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 247.38/43.04 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 247.38/43.04 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 247.38/43.04 | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 247.38/43.04 | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.38/43.04 | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 247.38/43.04 | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (10865), (10872), (10903), (10910),
% 247.38/43.04 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.04 | | | | | | | | | | | | | | | | | #466.
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | End of split
% 247.38/43.04 | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | End of split
% 247.38/43.04 | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | Case 2:
% 247.38/43.04 | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | (10911) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.38/43.04 | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.38/43.04 | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.38/43.04 | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.38/43.04 | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 247.38/43.04 | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 247.38/43.04 | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 247.38/43.04 | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 247.38/43.04 | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 247.38/43.04 | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 247.38/43.04 | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 247.38/43.04 | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 247.38/43.04 | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 247.38/43.04 | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.38/43.04 | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 247.38/43.04 | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 247.38/43.04 | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 247.38/43.04 | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 247.38/43.04 | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 247.38/43.04 | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 247.38/43.04 | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 247.38/43.04 | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 247.38/43.04 | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 247.38/43.04 | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.38/43.04 | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 247.38/43.04 | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 247.38/43.04 | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 247.38/43.04 | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 247.38/43.04 | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 247.38/43.04 | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 247.38/43.04 | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 247.38/43.04 | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 247.38/43.04 | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.38/43.04 | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.38/43.04 | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.38/43.04 | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.38/43.04 | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.38/43.04 | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.38/43.04 | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.38/43.04 | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.38/43.04 | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.38/43.04 | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.38/43.04 | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.38/43.04 | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | BETA: splitting (10911) gives:
% 247.38/43.04 | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | Case 1:
% 247.38/43.04 | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | (10912) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.38/43.04 | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.38/43.04 | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.38/43.04 | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.38/43.04 | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 247.38/43.04 | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 247.38/43.04 | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 247.38/43.04 | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 247.38/43.04 | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 247.38/43.04 | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 247.38/43.04 | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 247.38/43.04 | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 247.38/43.04 | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 247.38/43.04 | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.38/43.04 | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 247.38/43.04 | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | BETA: splitting (10912) gives:
% 247.38/43.04 | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | (10913) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.38/43.04 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.38/43.04 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.38/43.04 | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.38/43.04 | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 247.38/43.04 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (10868), (10879), (10913),
% 247.38/43.04 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.04 | | | | | | | | | | | | | | | | | #1863.
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | (10914) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 247.38/43.04 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 247.38/43.04 | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 247.38/43.04 | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.38/43.04 | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 247.38/43.04 | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 247.38/43.04 | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 247.38/43.04 | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 247.38/43.04 | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (168), (10868), (10878), (10914),
% 247.38/43.04 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.04 | | | | | | | | | | | | | | | | | #1860.
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | End of split
% 247.38/43.04 | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | Case 2:
% 247.38/43.04 | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | (10915) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 247.38/43.04 | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 247.38/43.04 | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 247.38/43.04 | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 247.38/43.04 | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.38/43.04 | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 247.38/43.04 | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 247.38/43.04 | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 247.38/43.04 | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 247.38/43.04 | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.38/43.04 | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 247.38/43.04 | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 247.38/43.04 | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 247.38/43.04 | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 247.38/43.04 | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 247.38/43.04 | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 247.38/43.04 | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 247.38/43.04 | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.38/43.04 | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.38/43.04 | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.38/43.04 | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.38/43.04 | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.38/43.04 | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.38/43.04 | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.38/43.04 | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.38/43.04 | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.38/43.04 | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.38/43.04 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.38/43.04 | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | BETA: splitting (10915) gives:
% 247.38/43.04 | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | (10916) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 247.38/43.04 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 247.38/43.04 | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 247.38/43.04 | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 247.38/43.04 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10879), (10916), (function-axioms) are
% 247.38/43.04 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | (10917) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 247.38/43.04 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 247.38/43.04 | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 247.38/43.04 | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 247.38/43.04 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 247.38/43.04 | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.38/43.04 | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 247.38/43.04 | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 247.38/43.04 | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 247.38/43.04 | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 247.38/43.04 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.38/43.04 | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.38/43.04 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.38/43.04 | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.38/43.04 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.38/43.04 | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.38/43.04 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.38/43.04 | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | BETA: splitting (10917) gives:
% 247.38/43.04 | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.04 | | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | | (10918) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 247.38/43.04 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 247.38/43.04 | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 247.38/43.04 | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 247.38/43.04 | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 247.38/43.04 | | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | | ALPHA: (10918) implies:
% 247.38/43.04 | | | | | | | | | | | | | | | | | | (10919) all_57_30 = e0
% 247.38/43.04 | | | | | | | | | | | | | | | | | | (10920) all_57_27 = e2
% 247.38/43.04 | | | | | | | | | | | | | | | | | | (10921) ~ (all_57_29 = e1)
% 247.38/43.04 | | | | | | | | | | | | | | | | | | (10922) ~ (all_57_28 = e0)
% 247.38/43.04 | | | | | | | | | | | | | | | | | | (10923) op(e1, e1) = e0
% 247.38/43.04 | | | | | | | | | | | | | | | | | | (10924) op(e2, e0) = e2
% 247.38/43.04 | | | | | | | | | | | | | | | | | |
% 247.38/43.04 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (164), (168), (170), (189),
% 247.38/43.04 | | | | | | | | | | | | | | | | | | (199), (218), (219), (220), (230), (239), (246),
% 247.38/43.04 | | | | | | | | | | | | | | | | | | (268), (352), (360), (370), (373), (10868),
% 247.38/43.04 | | | | | | | | | | | | | | | | | | (10870), (10872), (10879), (10881), (10919),
% 247.38/43.04 | | | | | | | | | | | | | | | | | | (10920), (10921), (10922), (10923), (10924),
% 247.38/43.04 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.04 | | | | | | | | | | | | | | | | | | #1508.
% 247.38/43.04 | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.05 | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | (10925) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 247.38/43.05 | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 247.38/43.05 | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.38/43.05 | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.38/43.05 | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.38/43.05 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.38/43.05 | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.38/43.05 | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.38/43.05 | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | BETA: splitting (10925) gives:
% 247.38/43.05 | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | (10926) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 247.38/43.05 | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | ALPHA: (10926) implies:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | (10927) all_57_29 = e1
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | (10928) all_57_28 = e0
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | (10929) ~ (all_57_30 = e0)
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | (10930) ~ (all_57_27 = e2)
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | (10931) op(e1, e0) = e1
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | (10932) op(e1, e1) = all_57_30
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | (10933) op(e2, e2) = e0
% 247.38/43.05 | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | (10934) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10934) gives:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (10935) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | $i(all_57_16))) & ((all_57_30 = e3 & op(e1,
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | e1) = e3) | ( ~ (all_57_17 = e1) & op(e1,
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_17 & $i(all_57_17))) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10935) implies:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (10936) op(e3, e0) = all_57_25
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (10937) op(e3, e2) = all_57_19
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (10938) op(e3, all_57_25) = e0
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (10939) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18))
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10939) gives:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | (10940) all_57_31 = e3 & op(e0, e0) = e3
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10940) implies:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | (10941) op(e0, e0) = e3
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (10870), (10941), (function-axioms) are
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1874.
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (10931) gives:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | (10942) all_52_14 = e1
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e0,
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (36), (10933) gives:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | (10943) all_4_2 = e0
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | all_57_25, e0, e3, simplifying with (168), (10936)
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | gives:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | (10944) all_57_25 = all_52_12
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | all_57_19, e2, e3, simplifying with (170), (10937)
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | gives:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | (10945) all_57_19 = all_52_4
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (10942) imply:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | (10946) ~ (all_52_12 = e1)
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10938), (10944) imply:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | (10947) op(e3, all_52_12) = e0
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | (10948) all_54_3 = e3
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (10878), (10948) are inconsistent by
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1725.
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | (10949) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10949) gives:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | | (10950) all_54_3 = e2
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (10950) imply:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | | (10951) all_52_12 = e2
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10951) implies:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | | (10952) all_52_12 = e2
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10947), (10952) imply:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | | (10953) op(e3, e2) = e0
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (352), (10933), (10937), (10953),
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | | #1512.
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | | (10954) all_54_3 = e1 | all_54_3 = e0
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (10900), (10946), (10954) are inconsistent
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1181.
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (10955) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e2 & op(e3, e3) = e2) | ( ~
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & op(e3, e2) = all_57_19 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | $i(all_57_19))) & ((all_57_30 = e2 & op(e1,
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_20 = e1) & op(e1,
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_20 & $i(all_57_20))) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)))
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10955) implies:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (10956) op(e2, e0) = all_57_27
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (10957) op(e2, all_57_28) = e2
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10928), (10957) imply:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (10958) op(e2, e0) = e2
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10930), (10956), (10958),
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | #807.
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | (10959) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10959) gives:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (10960) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10960) implies:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (10961) op(e1, all_57_29) = e0
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10927), (10961) imply:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (10962) op(e1, e1) = e0
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (36), (39), (51), (73), (125), (139),
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (140), (158), (159), (164), (168), (170), (189),
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (190), (191), (192), (199), (204), (218), (219),
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (220), (230), (238), (239), (246), (247), (248),
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (249), (268), (279), (330), (342), (344), (348),
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (351), (352), (360), (362), (369), (370), (371),
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (373), (374), (10867), (10868), (10870), (10872),
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (10874), (10899), (10962), (function-axioms) are
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1490.
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (10963) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10963) implies:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (10964) (all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10929), (10931), (10932), (10964),
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | #465.
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.05 | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | (10965) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 247.38/43.05 | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | ALPHA: (10965) implies:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | (10966) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 247.38/43.05 | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | BETA: splitting (10966) gives:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | (10967) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (157), (158), (159), (373),
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | (10865), (10872), (10897), (10898), (10899),
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | (10966), (10967), (function-axioms) are
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #463.
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | (10968) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10968) gives:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (10969) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10969) implies:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (10970) op(e0, e2) = e0
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (10898), (10970), (function-axioms) are
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #802.
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (10971) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (10872), (10879), (10971),
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | | #1852.
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.05 | | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.05 | | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | | End of split
% 247.38/43.05 | | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | End of split
% 247.38/43.05 | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | End of split
% 247.38/43.05 | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | End of split
% 247.38/43.05 | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | End of split
% 247.38/43.05 | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | End of split
% 247.38/43.05 | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | End of split
% 247.38/43.05 | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | Case 2:
% 247.38/43.05 | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | (10972) all_28_2 = e2
% 247.38/43.05 | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | COMBINE_EQS: (330), (10972) imply:
% 247.38/43.05 | | | | | | | | | | | (10973) all_14_2 = e2
% 247.38/43.05 | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | SIMP: (10973) implies:
% 247.38/43.05 | | | | | | | | | | | (10974) all_14_2 = e2
% 247.38/43.05 | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | REDUCE: (351), (10974) imply:
% 247.38/43.05 | | | | | | | | | | | (10975) ~ (all_52_3 = e2)
% 247.38/43.05 | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | REDUCE: (371), (10974) imply:
% 247.38/43.05 | | | | | | | | | | | (10976) ~ (all_52_13 = e2)
% 247.38/43.05 | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | REDUCE: (10870), (10974) imply:
% 247.38/43.05 | | | | | | | | | | | (10977) ~ (e3 = e2)
% 247.38/43.05 | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | REDUCE: (51), (10974) imply:
% 247.38/43.05 | | | | | | | | | | | (10978) op(e0, e0) = e2
% 247.38/43.05 | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | BETA: splitting (233) gives:
% 247.38/43.05 | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | Case 1:
% 247.38/43.05 | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | (10979) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 247.38/43.05 | | | | | | | | | | | | & op(e2, e3) = e2)
% 247.38/43.05 | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | BETA: splitting (10979) gives:
% 247.38/43.05 | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | Case 1:
% 247.38/43.05 | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | (10980) all_56_0 = e2 & op(e3, e3) = e2
% 247.38/43.05 | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | ALPHA: (10980) implies:
% 247.38/43.05 | | | | | | | | | | | | | (10981) op(e3, e3) = e2
% 247.38/43.05 | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | REF_CLOSE: (9), (10879), (10981), (function-axioms) are
% 247.38/43.05 | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 247.38/43.05 | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | Case 2:
% 247.38/43.05 | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | (10982) all_56_2 = e2 & op(e2, e3) = e2
% 247.38/43.05 | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | ALPHA: (10982) implies:
% 247.38/43.05 | | | | | | | | | | | | | (10983) op(e2, e3) = e2
% 247.38/43.05 | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | BETA: splitting (238) gives:
% 247.38/43.05 | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | Case 1:
% 247.38/43.05 | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | (10984) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.38/43.05 | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.38/43.05 | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.38/43.05 | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.38/43.05 | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.38/43.05 | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.38/43.05 | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.38/43.05 | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.38/43.05 | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 247.38/43.05 | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.38/43.05 | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 247.38/43.05 | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 247.38/43.05 | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 247.38/43.05 | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 247.38/43.05 | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 247.38/43.05 | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 247.38/43.05 | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 247.38/43.05 | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 247.38/43.05 | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 247.38/43.05 | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 247.38/43.05 | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.38/43.05 | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 247.38/43.05 | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 247.38/43.05 | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 247.38/43.05 | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 247.38/43.05 | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 247.38/43.05 | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 247.38/43.05 | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 247.38/43.05 | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 247.38/43.05 | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 247.38/43.05 | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 247.38/43.05 | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 247.38/43.05 | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 247.38/43.05 | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.38/43.05 | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 247.38/43.05 | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.38/43.05 | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 247.38/43.05 | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 247.38/43.05 | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 247.38/43.05 | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | BETA: splitting (10984) gives:
% 247.38/43.05 | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | Case 1:
% 247.38/43.05 | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | (10985) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.38/43.05 | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.38/43.05 | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.38/43.05 | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.38/43.05 | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.38/43.05 | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.38/43.05 | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.38/43.05 | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.38/43.05 | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 247.38/43.05 | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.38/43.05 | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 247.38/43.05 | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 247.38/43.05 | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 247.38/43.05 | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 247.38/43.05 | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 247.38/43.05 | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 247.38/43.05 | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 247.38/43.05 | | | | | | | | | | | | | | | $i(all_57_30))
% 247.38/43.05 | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | BETA: splitting (10985) gives:
% 247.38/43.05 | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | Case 1:
% 247.38/43.05 | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | (10986) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.38/43.05 | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.38/43.05 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.38/43.05 | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.38/43.05 | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.38/43.05 | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.38/43.05 | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.38/43.05 | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.38/43.05 | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 247.38/43.05 | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (51), (10865), (10870), (10986),
% 247.38/43.05 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.05 | | | | | | | | | | | | | | | | #468.
% 247.38/43.05 | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | Case 2:
% 247.38/43.05 | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | (10987) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 247.38/43.05 | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 247.38/43.05 | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 247.38/43.05 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 247.38/43.05 | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 247.38/43.05 | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 247.38/43.05 | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 247.38/43.05 | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.38/43.05 | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 247.38/43.05 | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | REF_CLOSE: (36), (51), (373), (10870), (10987),
% 247.38/43.05 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.05 | | | | | | | | | | | | | | | | #1871.
% 247.38/43.05 | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | End of split
% 247.38/43.05 | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | Case 2:
% 247.38/43.05 | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | (10988) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 247.38/43.05 | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 247.38/43.05 | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 247.38/43.05 | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 247.38/43.05 | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 247.38/43.05 | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 247.38/43.05 | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 247.38/43.05 | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.38/43.05 | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 247.38/43.05 | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 247.38/43.05 | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 247.38/43.05 | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 247.38/43.05 | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 247.38/43.05 | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 247.38/43.05 | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 247.38/43.05 | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 247.38/43.05 | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 247.38/43.05 | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 247.38/43.05 | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 247.38/43.05 | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 247.38/43.05 | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.38/43.05 | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 247.38/43.05 | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | BETA: splitting (10988) gives:
% 247.38/43.05 | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | Case 1:
% 247.38/43.05 | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | (10989) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 247.38/43.05 | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 247.38/43.05 | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 247.38/43.05 | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 247.38/43.05 | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 247.38/43.05 | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 247.38/43.05 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 247.38/43.05 | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.38/43.05 | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 247.38/43.05 | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | REF_CLOSE: (170), (10877), (10989), (function-axioms) are
% 247.38/43.05 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 247.38/43.05 | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | Case 2:
% 247.38/43.05 | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | (10990) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 247.38/43.05 | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 247.38/43.05 | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 247.38/43.05 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 247.38/43.05 | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 247.38/43.05 | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 247.38/43.05 | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 247.38/43.05 | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.38/43.05 | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 247.38/43.05 | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.38/43.05 | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 247.38/43.05 | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 247.38/43.05 | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 247.38/43.05 | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | | REF_CLOSE: (36), (10865), (10872), (10990), (function-axioms)
% 247.38/43.05 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #462.
% 247.38/43.05 | | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | End of split
% 247.38/43.05 | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | End of split
% 247.38/43.05 | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | Case 2:
% 247.38/43.05 | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | (10991) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.38/43.05 | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.38/43.05 | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.38/43.05 | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.38/43.05 | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 247.38/43.05 | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 247.38/43.05 | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.05 | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 247.38/43.05 | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 247.38/43.05 | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 247.38/43.05 | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 247.38/43.05 | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 247.38/43.05 | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 247.38/43.05 | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 247.38/43.05 | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 247.38/43.05 | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 247.38/43.05 | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 247.38/43.05 | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 247.38/43.05 | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 247.38/43.05 | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 247.38/43.05 | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.38/43.05 | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 247.38/43.05 | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 247.38/43.05 | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 247.38/43.05 | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 247.38/43.05 | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 247.38/43.05 | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 247.38/43.05 | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 247.38/43.05 | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 247.38/43.05 | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 247.38/43.05 | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 247.38/43.05 | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 247.38/43.05 | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 247.38/43.05 | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.38/43.05 | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 247.38/43.05 | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 247.38/43.05 | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 247.38/43.05 | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 247.38/43.05 | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 247.38/43.05 | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 247.38/43.05 | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 247.38/43.05 | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 247.38/43.05 | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 247.38/43.05 | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 247.38/43.05 | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.38/43.05 | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.38/43.05 | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.38/43.05 | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.38/43.05 | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.38/43.05 | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.38/43.05 | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.38/43.05 | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.38/43.05 | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.38/43.05 | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.38/43.05 | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.38/43.05 | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.38/43.05 | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.38/43.05 | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.38/43.05 | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.05 | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.38/43.05 | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.38/43.05 | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.38/43.05 | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.38/43.05 | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.38/43.05 | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | BETA: splitting (10991) gives:
% 247.38/43.05 | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | Case 1:
% 247.38/43.05 | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | (10992) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.38/43.05 | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.38/43.05 | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.38/43.05 | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.38/43.05 | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 247.38/43.05 | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 247.38/43.05 | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.05 | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 247.38/43.05 | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 247.38/43.05 | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 247.38/43.05 | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 247.38/43.05 | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 247.38/43.05 | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 247.38/43.05 | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 247.38/43.05 | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 247.38/43.05 | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 247.38/43.05 | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 247.38/43.05 | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 247.38/43.05 | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 247.38/43.05 | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 247.38/43.05 | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.38/43.05 | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 247.38/43.05 | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | BETA: splitting (10992) gives:
% 247.38/43.05 | | | | | | | | | | | | | | |
% 247.38/43.05 | | | | | | | | | | | | | | | Case 1:
% 247.38/43.05 | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | (10993) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.38/43.06 | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.38/43.06 | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.38/43.06 | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.38/43.06 | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 247.38/43.06 | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 247.38/43.06 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.06 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 247.38/43.06 | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 247.38/43.06 | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (10879), (10978), (10993),
% 247.38/43.06 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.06 | | | | | | | | | | | | | | | | #1494.
% 247.38/43.06 | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | Case 2:
% 247.38/43.06 | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | (10994) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 247.38/43.06 | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 247.38/43.06 | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 247.38/43.06 | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.38/43.06 | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 247.38/43.06 | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 247.38/43.06 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 247.38/43.06 | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 247.38/43.06 | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 247.38/43.06 | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 247.38/43.06 | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 247.38/43.06 | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 247.38/43.06 | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 247.38/43.06 | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | REF_CLOSE: (6), (168), (10878), (10978), (10994),
% 247.38/43.06 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.06 | | | | | | | | | | | | | | | | #1715.
% 247.38/43.06 | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | End of split
% 247.38/43.06 | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | Case 2:
% 247.38/43.06 | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | (10995) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 247.38/43.06 | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 247.38/43.06 | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 247.38/43.06 | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 247.38/43.06 | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 247.38/43.06 | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 247.38/43.06 | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 247.38/43.06 | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.38/43.06 | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 247.38/43.06 | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 247.38/43.06 | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 247.38/43.06 | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 247.38/43.06 | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 247.38/43.06 | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.38/43.06 | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 247.38/43.06 | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 247.38/43.06 | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 247.38/43.06 | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 247.38/43.06 | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 247.38/43.06 | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 247.38/43.06 | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 247.38/43.06 | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 247.38/43.06 | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.38/43.06 | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.38/43.06 | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.38/43.06 | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.38/43.06 | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.38/43.06 | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.38/43.06 | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.38/43.06 | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.38/43.06 | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.38/43.06 | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.38/43.06 | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.38/43.06 | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.38/43.06 | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.38/43.06 | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.38/43.06 | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.06 | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.38/43.06 | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.38/43.06 | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.38/43.06 | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.38/43.06 | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.38/43.06 | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | BETA: splitting (10995) gives:
% 247.38/43.06 | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | Case 1:
% 247.38/43.06 | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | (10996) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 247.38/43.06 | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 247.38/43.06 | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 247.38/43.06 | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 247.38/43.06 | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 247.38/43.06 | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 247.38/43.06 | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 247.38/43.06 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.38/43.06 | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 247.38/43.06 | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10879), (10996), (function-axioms) are
% 247.38/43.06 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 247.38/43.06 | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | Case 2:
% 247.38/43.06 | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | (10997) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 247.38/43.06 | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 247.38/43.06 | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 247.38/43.06 | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 247.38/43.06 | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 247.38/43.06 | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 247.38/43.06 | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 247.38/43.06 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.38/43.06 | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 247.38/43.06 | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 247.38/43.06 | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.38/43.06 | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 247.38/43.06 | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 247.38/43.06 | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 247.38/43.06 | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 247.38/43.06 | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 247.38/43.06 | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 247.38/43.06 | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.38/43.06 | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.38/43.06 | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.38/43.06 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.38/43.06 | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.38/43.06 | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.38/43.06 | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.38/43.06 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.38/43.06 | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.38/43.06 | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.38/43.06 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.06 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.38/43.06 | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.38/43.06 | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.38/43.06 | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.38/43.06 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.38/43.06 | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | BETA: splitting (10997) gives:
% 247.38/43.06 | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.06 | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | (10998) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 247.38/43.06 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 247.38/43.06 | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 247.38/43.06 | | | | | | | | | | | | | | | | | $i(all_57_29)
% 247.38/43.06 | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | ALPHA: (10998) implies:
% 247.38/43.06 | | | | | | | | | | | | | | | | | (10999) op(e2, e0) = e2
% 247.38/43.06 | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10976), (10999), (function-axioms) are
% 247.38/43.06 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1493.
% 247.38/43.06 | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.06 | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | (11000) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.38/43.06 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 247.38/43.06 | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 247.38/43.06 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 247.38/43.06 | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 247.38/43.06 | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 247.38/43.06 | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 247.38/43.06 | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.38/43.06 | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.38/43.06 | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.38/43.06 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.38/43.06 | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.38/43.06 | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.38/43.06 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.38/43.06 | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.38/43.06 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.38/43.06 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.38/43.06 | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.38/43.06 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.38/43.06 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.38/43.06 | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.38/43.06 | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.38/43.06 | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | BETA: splitting (11000) gives:
% 247.38/43.06 | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.06 | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | (11001) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 247.38/43.06 | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | ALPHA: (11001) implies:
% 247.38/43.06 | | | | | | | | | | | | | | | | | | (11002) all_57_29 = e1
% 247.38/43.06 | | | | | | | | | | | | | | | | | | (11003) ~ (all_57_30 = e0)
% 247.38/43.06 | | | | | | | | | | | | | | | | | | (11004) op(e1, e0) = e1
% 247.38/43.06 | | | | | | | | | | | | | | | | | | (11005) op(e1, e1) = all_57_30
% 247.38/43.06 | | | | | | | | | | | | | | | | | | (11006) op(e2, e2) = e0
% 247.38/43.06 | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 247.38/43.06 | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.06 | | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | (11007) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 247.38/43.06 | | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (164), (206), (373), (10976), (10978),
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | (10983), (11006), (11007), (function-axioms) are
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #460.
% 247.38/43.06 | | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.06 | | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | (11008) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 247.38/43.06 | | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11002), (11003), (11004), (11005), (11008),
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | #459.
% 247.38/43.06 | | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.06 | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.06 | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | (11009) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 247.38/43.06 | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 247.38/43.06 | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 247.38/43.06 | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 247.38/43.06 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 247.38/43.06 | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 247.38/43.06 | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 247.38/43.06 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 247.38/43.06 | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 247.38/43.06 | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 247.38/43.06 | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | ALPHA: (11009) implies:
% 247.38/43.06 | | | | | | | | | | | | | | | | | | (11010) op(e0, e0) = all_57_31
% 247.38/43.06 | | | | | | | | | | | | | | | | | | (11011) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 247.38/43.06 | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 247.38/43.06 | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.38/43.06 | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 247.38/43.06 | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 247.38/43.06 | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | BETA: splitting (11011) gives:
% 247.38/43.06 | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.06 | | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | (11012) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 247.38/43.06 | | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (36), (373), (10865), (10872), (10978),
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | (11010), (11011), (11012), (function-axioms) are
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #456.
% 247.38/43.06 | | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.06 | | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | (11013) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 247.38/43.06 | | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | BETA: splitting (11013) gives:
% 247.38/43.06 | | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | Case 1:
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | | (11014) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | | ALPHA: (11014) implies:
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | | (11015) ~ (all_57_31 = e2)
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10978), (11010), (11015), (function-axioms) are
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #787.
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | Case 2:
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | | (11016) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (10872), (10879), (11016),
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | | #1852.
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.06 | | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | | End of split
% 247.38/43.06 | | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | | End of split
% 247.38/43.06 | | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | | End of split
% 247.38/43.06 | | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | | End of split
% 247.38/43.06 | | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | End of split
% 247.38/43.06 | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | End of split
% 247.38/43.06 | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | End of split
% 247.38/43.06 | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | Case 2:
% 247.38/43.06 | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | (11017) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 247.38/43.06 | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 247.38/43.06 | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | REF_CLOSE: (159), (163), (10859), (10975), (11017),
% 247.38/43.06 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.38/43.06 | | | | | | | | | | | | #454.
% 247.38/43.06 | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | End of split
% 247.38/43.06 | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | End of split
% 247.38/43.06 | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | Case 2:
% 247.38/43.06 | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | (11018) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 247.38/43.06 | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | REF_CLOSE: (279), (374), (10867), (10874), (11018) are
% 247.38/43.06 | | | | | | | | | | inconsistent by sub-proof #1850.
% 247.38/43.06 | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | End of split
% 247.38/43.06 | | | | | | | | |
% 247.38/43.06 | | | | | | | | Case 2:
% 247.38/43.06 | | | | | | | | |
% 247.38/43.06 | | | | | | | | | (11019) all_26_2 = e1
% 247.38/43.06 | | | | | | | | | (11020) ( ~ (all_26_0 = e2) & op(all_26_1, all_26_1) =
% 247.38/43.06 | | | | | | | | | all_26_0 & op(e1, e3) = all_26_1 & $i(all_26_0) &
% 247.38/43.06 | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e0) & op(e1, e3)
% 247.38/43.06 | | | | | | | | | = all_26_1 & $i(all_26_1))
% 247.38/43.06 | | | | | | | | |
% 247.38/43.06 | | | | | | | | | COMBINE_EQS: (307), (11019) imply:
% 247.38/43.06 | | | | | | | | | (11021) all_6_2 = e1
% 247.38/43.06 | | | | | | | | |
% 247.38/43.06 | | | | | | | | | COMBINE_EQS: (303), (11021) imply:
% 247.38/43.06 | | | | | | | | | (11022) all_42_2 = e1
% 247.38/43.06 | | | | | | | | |
% 247.38/43.06 | | | | | | | | | REDUCE: (338), (11021) imply:
% 247.38/43.06 | | | | | | | | | (11023) ~ (all_52_1 = e1)
% 247.38/43.06 | | | | | | | | |
% 247.38/43.06 | | | | | | | | | REDUCE: (340), (11021) imply:
% 247.38/43.06 | | | | | | | | | (11024) ~ (all_52_2 = e1)
% 247.38/43.06 | | | | | | | | |
% 247.38/43.06 | | | | | | | | | REDUCE: (342), (11021) imply:
% 247.38/43.06 | | | | | | | | | (11025) ~ (all_52_3 = e1)
% 247.38/43.06 | | | | | | | | |
% 247.38/43.06 | | | | | | | | | REDUCE: (344), (11021) imply:
% 247.38/43.06 | | | | | | | | | (11026) ~ (all_52_4 = e1)
% 247.38/43.06 | | | | | | | | |
% 247.38/43.06 | | | | | | | | | REDUCE: (346), (11021) imply:
% 247.38/43.06 | | | | | | | | | (11027) ~ (all_52_8 = e1)
% 247.38/43.06 | | | | | | | | |
% 247.38/43.06 | | | | | | | | | REDUCE: (348), (11021) imply:
% 247.38/43.06 | | | | | | | | | (11028) ~ (all_52_12 = e1)
% 247.38/43.06 | | | | | | | | |
% 247.38/43.06 | | | | | | | | | REDUCE: (10867), (11021) imply:
% 247.38/43.06 | | | | | | | | | (11029) ~ (e2 = e1)
% 247.38/43.06 | | | | | | | | |
% 247.38/43.06 | | | | | | | | | REDUCE: (39), (11021) imply:
% 247.38/43.06 | | | | | | | | | (11030) op(e3, e3) = e1
% 247.38/43.06 | | | | | | | | |
% 247.38/43.06 | | | | | | | | | BETA: splitting (73) gives:
% 247.38/43.06 | | | | | | | | |
% 247.38/43.06 | | | | | | | | | Case 1:
% 247.38/43.06 | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | (11031) ~ (all_28_2 = e2)
% 247.38/43.06 | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | REDUCE: (330), (11031) imply:
% 247.38/43.06 | | | | | | | | | | (11032) ~ (all_14_2 = e2)
% 247.38/43.06 | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | BETA: splitting (189) gives:
% 247.38/43.06 | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | Case 1:
% 247.38/43.06 | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | (11033) all_54_15 = e3
% 247.38/43.06 | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | REF_CLOSE: (246), (10870), (11033) are inconsistent by
% 247.38/43.06 | | | | | | | | | | | sub-proof #1489.
% 247.38/43.06 | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | Case 2:
% 247.38/43.06 | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | (11034) ~ (all_54_15 = e3)
% 247.38/43.06 | | | | | | | | | | | (11035) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 247.38/43.06 | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | BETA: splitting (11035) gives:
% 247.38/43.06 | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | Case 1:
% 247.38/43.06 | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | (11036) all_54_15 = e2
% 247.38/43.06 | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | REF_CLOSE: (246), (11032), (11036) are inconsistent by
% 247.38/43.06 | | | | | | | | | | | | sub-proof #1488.
% 247.38/43.06 | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | Case 2:
% 247.38/43.06 | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | (11037) ~ (all_54_15 = e2)
% 247.38/43.06 | | | | | | | | | | | | (11038) all_54_15 = e1 | all_54_15 = e0
% 247.38/43.06 | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | BETA: splitting (11038) gives:
% 247.38/43.06 | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | Case 1:
% 247.38/43.06 | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | (11039) all_54_15 = e1
% 247.38/43.06 | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | REF_CLOSE: (246), (10868), (11039) are inconsistent by
% 247.38/43.06 | | | | | | | | | | | | | sub-proof #1487.
% 247.38/43.06 | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | Case 2:
% 247.38/43.06 | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | (11040) all_54_15 = e0
% 247.38/43.06 | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | COMBINE_EQS: (246), (11040) imply:
% 247.38/43.06 | | | | | | | | | | | | | (11041) all_14_2 = e0
% 247.38/43.06 | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | SIMP: (11041) implies:
% 247.38/43.06 | | | | | | | | | | | | | (11042) all_14_2 = e0
% 247.38/43.06 | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | REDUCE: (351), (11042) imply:
% 247.38/43.06 | | | | | | | | | | | | | (11043) ~ (all_52_3 = e0)
% 247.38/43.06 | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | REDUCE: (362), (11042) imply:
% 247.38/43.06 | | | | | | | | | | | | | (11044) ~ (all_52_7 = e0)
% 247.38/43.06 | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | REDUCE: (369), (11042) imply:
% 247.38/43.06 | | | | | | | | | | | | | (11045) ~ (all_52_11 = e0)
% 247.38/43.06 | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | REDUCE: (370), (11042) imply:
% 247.38/43.06 | | | | | | | | | | | | | (11046) ~ (all_52_12 = e0)
% 247.38/43.06 | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | REDUCE: (372), (11042) imply:
% 247.38/43.06 | | | | | | | | | | | | | (11047) ~ (all_52_14 = e0)
% 247.38/43.06 | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | REDUCE: (10870), (11042) imply:
% 247.38/43.06 | | | | | | | | | | | | | (11048) ~ (e3 = e0)
% 247.38/43.06 | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | REDUCE: (11032), (11042) imply:
% 247.38/43.06 | | | | | | | | | | | | | (11049) ~ (e2 = e0)
% 247.38/43.06 | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | REDUCE: (10868), (11042) imply:
% 247.38/43.06 | | | | | | | | | | | | | (11050) ~ (e1 = e0)
% 247.38/43.06 | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | REDUCE: (51), (11042) imply:
% 247.38/43.06 | | | | | | | | | | | | | (11051) op(e0, e0) = e0
% 247.38/43.06 | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | BETA: splitting (79) gives:
% 247.38/43.06 | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | Case 1:
% 247.38/43.06 | | | | | | | | | | | | | |
% 247.38/43.06 | | | | | | | | | | | | | | (11052) ~ (all_32_2 = e0)
% 247.38/43.06 | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | REDUCE: (314), (11052) imply:
% 247.46/43.06 | | | | | | | | | | | | | | (11053) ~ (all_4_2 = e0)
% 247.46/43.06 | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 247.46/43.06 | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | Case 1:
% 247.46/43.06 | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | (11054) all_54_5 = e3
% 247.46/43.06 | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | COMBINE_EQS: (268), (11054) imply:
% 247.46/43.06 | | | | | | | | | | | | | | | (11055) all_4_2 = e3
% 247.46/43.06 | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | REDUCE: (373), (11055) imply:
% 247.46/43.06 | | | | | | | | | | | | | | | (11056) $false
% 247.46/43.06 | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | CLOSE: (11056) is inconsistent.
% 247.46/43.06 | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | Case 2:
% 247.46/43.06 | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | (11057) ~ (all_54_5 = e3)
% 247.46/43.06 | | | | | | | | | | | | | | | (11058) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 247.46/43.06 | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | BETA: splitting (11058) gives:
% 247.46/43.06 | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | Case 1:
% 247.46/43.06 | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | (11059) all_54_5 = e2
% 247.46/43.06 | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (11059) imply:
% 247.46/43.06 | | | | | | | | | | | | | | | | (11060) all_4_2 = e2
% 247.46/43.06 | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | REDUCE: (349), (11060) imply:
% 247.46/43.06 | | | | | | | | | | | | | | | | (11061) ~ (all_52_1 = e2)
% 247.46/43.06 | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | REDUCE: (360), (11060) imply:
% 247.46/43.06 | | | | | | | | | | | | | | | | (11062) ~ (all_52_13 = e2)
% 247.46/43.06 | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | REDUCE: (373), (11060) imply:
% 247.46/43.06 | | | | | | | | | | | | | | | | (11063) ~ (e3 = e2)
% 247.46/43.06 | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | REDUCE: (36), (11060) imply:
% 247.46/43.06 | | | | | | | | | | | | | | | | (11064) op(e2, e2) = e2
% 247.46/43.06 | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 247.46/43.06 | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | Case 1:
% 247.46/43.06 | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | (11065) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 247.46/43.06 | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 247.46/43.06 | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (11030), (11061), (11065),
% 247.46/43.06 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.46/43.06 | | | | | | | | | | | | | | | | | #1686.
% 247.46/43.06 | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | Case 2:
% 247.46/43.06 | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | (11066) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 247.46/43.06 | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 247.46/43.06 | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | BETA: splitting (11066) gives:
% 247.46/43.06 | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | Case 1:
% 247.46/43.06 | | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | | (11067) all_56_6 = e2 & op(e1, e3) = e2
% 247.46/43.06 | | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | | ALPHA: (11067) implies:
% 247.46/43.06 | | | | | | | | | | | | | | | | | | (11068) op(e1, e3) = e2
% 247.46/43.06 | | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10859), (11068), (function-axioms) are
% 247.46/43.06 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #806.
% 247.46/43.06 | | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | Case 2:
% 247.46/43.06 | | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | | (11069) all_56_12 = e2 & op(e0, e3) = e2
% 247.46/43.06 | | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | | ALPHA: (11069) implies:
% 247.46/43.06 | | | | | | | | | | | | | | | | | | (11070) op(e0, e3) = e2
% 247.46/43.06 | | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (135),
% 247.46/43.06 | | | | | | | | | | | | | | | | | | (157), (158), (159), (164), (165), (167), (170),
% 247.46/43.06 | | | | | | | | | | | | | | | | | | (238), (239), (268), (358), (373), (10862),
% 247.46/43.06 | | | | | | | | | | | | | | | | | | (10865), (10868), (10870), (10872), (11030),
% 247.46/43.06 | | | | | | | | | | | | | | | | | | (11043), (11044), (11045), (11051), (11053),
% 247.46/43.06 | | | | | | | | | | | | | | | | | | (11058), (11061), (11062), (11064), (11070),
% 247.46/43.06 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.46/43.06 | | | | | | | | | | | | | | | | | | #450.
% 247.46/43.06 | | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | End of split
% 247.46/43.06 | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | End of split
% 247.46/43.06 | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | Case 2:
% 247.46/43.06 | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | (11071) all_54_5 = e1 | all_54_5 = e0
% 247.46/43.06 | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | REF_CLOSE: (268), (10872), (11053), (11071) are inconsistent
% 247.46/43.06 | | | | | | | | | | | | | | | | by sub-proof #1845.
% 247.46/43.06 | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | End of split
% 247.46/43.06 | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | End of split
% 247.46/43.06 | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | Case 2:
% 247.46/43.06 | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | (11072) all_32_2 = e0
% 247.46/43.06 | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | COMBINE_EQS: (314), (11072) imply:
% 247.46/43.06 | | | | | | | | | | | | | | (11073) all_4_2 = e0
% 247.46/43.06 | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | REDUCE: (360), (11073) imply:
% 247.46/43.06 | | | | | | | | | | | | | | (11074) ~ (all_52_13 = e0)
% 247.46/43.06 | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | REDUCE: (36), (11073) imply:
% 247.46/43.06 | | | | | | | | | | | | | | (11075) op(e2, e2) = e0
% 247.46/43.06 | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 247.46/43.06 | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | Case 1:
% 247.46/43.06 | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | (11076) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 247.46/43.06 | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 247.46/43.06 | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | BETA: splitting (11076) gives:
% 247.46/43.06 | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | Case 1:
% 247.46/43.06 | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | (11077) all_56_4 = e0 & op(e3, e1) = e0
% 247.46/43.06 | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | ALPHA: (11077) implies:
% 247.46/43.06 | | | | | | | | | | | | | | | | (11078) all_56_4 = e0
% 247.46/43.06 | | | | | | | | | | | | | | | | (11079) op(e3, e1) = e0
% 247.46/43.06 | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 247.46/43.06 | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | Case 1:
% 247.46/43.06 | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | (11080) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 247.46/43.06 | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 247.46/43.06 | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | BETA: splitting (11080) gives:
% 247.46/43.06 | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | Case 1:
% 247.46/43.06 | | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | | (11081) all_56_0 = e0 & op(e3, e3) = e0
% 247.46/43.06 | | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | | ALPHA: (11081) implies:
% 247.46/43.06 | | | | | | | | | | | | | | | | | | (11082) op(e3, e3) = e0
% 247.46/43.06 | | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11030), (11082), (function-axioms) are
% 247.46/43.06 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1832.
% 247.46/43.06 | | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | Case 2:
% 247.46/43.06 | | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | | (11083) all_56_2 = e0 & op(e2, e3) = e0
% 247.46/43.06 | | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | | ALPHA: (11083) implies:
% 247.46/43.06 | | | | | | | | | | | | | | | | | | (11084) all_56_2 = e0
% 247.46/43.06 | | | | | | | | | | | | | | | | | | (11085) op(e2, e3) = e0
% 247.46/43.06 | | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 247.46/43.06 | | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | | Case 1:
% 247.46/43.06 | | | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | | | (11086) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 247.46/43.06 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 247.46/43.06 | | | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | | | BETA: splitting (11086) gives:
% 247.46/43.06 | | | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | | | Case 1:
% 247.46/43.06 | | | | | | | | | | | | | | | | | | | |
% 247.46/43.06 | | | | | | | | | | | | | | | | | | | | (11087) all_56_6 = e0 & op(e1, e3) = e0
% 247.46/43.06 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.06 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (36), (51), (94), (110), (117), (121),
% 247.47/43.06 | | | | | | | | | | | | | | | | | | | | (125), (128), (133), (134), (135), (139), (140),
% 247.47/43.06 | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (148), (149), (157), (158),
% 247.47/43.06 | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (168),
% 247.47/43.06 | | | | | | | | | | | | | | | | | | | | (169), (170), (190), (191), (192), (197), (198),
% 247.47/43.06 | | | | | | | | | | | | | | | | | | | | (200), (203), (206), (209), (210), (211), (212),
% 247.47/43.06 | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (218), (219), (220),
% 247.47/43.06 | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (226), (227), (230),
% 247.47/43.06 | | | | | | | | | | | | | | | | | | | | (232), (233), (235), (236), (238), (239), (247),
% 247.47/43.06 | | | | | | | | | | | | | | | | | | | | (248), (249), (260), (261), (269), (272), (373),
% 247.47/43.06 | | | | | | | | | | | | | | | | | | | | (10860), (10862), (10863), (10864), (10865),
% 247.47/43.06 | | | | | | | | | | | | | | | | | | | | (10868), (10870), (11020), (11022), (11023),
% 247.47/43.06 | | | | | | | | | | | | | | | | | | | | (11025), (11026), (11027), (11028), (11030),
% 247.47/43.06 | | | | | | | | | | | | | | | | | | | | (11044), (11051), (11074), (11075), (11078),
% 247.47/43.06 | | | | | | | | | | | | | | | | | | | | (11079), (11087), (function-axioms) are
% 247.47/43.06 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #436.
% 247.47/43.06 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.06 | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.06 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.06 | | | | | | | | | | | | | | | | | | | | (11088) all_56_7 = e0 & op(e1, e2) = e0
% 247.47/43.06 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.06 | | | | | | | | | | | | | | | | | | | | ALPHA: (11088) implies:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | (11089) all_56_7 = e0
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | (11090) op(e1, e2) = e0
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (226),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | (227), (228), (373), (11026), (11075), (11089),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | (11090), (function-axioms) are inconsistent by
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | sub-proof #435.
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.07 | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | (11091) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 247.47/43.07 | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | BETA: splitting (11091) gives:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | (11092) all_56_8 = e0 & op(e1, e1) = e0
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | ALPHA: (11092) implies:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | (11093) op(e1, e1) = e0
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (120),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | (125), (126), (133), (135), (136), (143), (148),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (163), (164),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (191), (195),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | (199), (206), (207), (210), (211), (212), (213),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (218), (219), (220), (226),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | (228), (230), (233), (235), (236), (238), (239),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | (248), (258), (268), (349), (352), (354), (358),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | (360), (362), (372), (373), (10868), (10870),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | (10872), (11025), (11026), (11028), (11030),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | (11043), (11045), (11046), (11047), (11084),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | (11085), (11093), (function-axioms) are
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1445.
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | (11094) all_56_11 = e0 & op(e1, e0) = e0
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | ALPHA: (11094) implies:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | (11095) all_56_11 = e0
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | (11096) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11096) gives:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | (11097) all_56_9 = e1 & op(e3, e0) = e1
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11097) implies:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | (11098) op(e3, e0) = e1
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (11028), (11098), (function-axioms) are
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1848.
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | (11099) all_56_10 = e1 & op(e2, e0) = e1
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11099) implies:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | (11100) all_56_10 = e1
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (51), (211), (212),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | (10870), (11051), (11095), (11100),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | #1729.
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | (11101) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (51), (10868), (11095), (11101),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | #1172.
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.07 | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.07 | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | End of split
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | (11102) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 247.47/43.07 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | BETA: splitting (11102) gives:
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.07 | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | (11103) all_56_6 = e0 & op(e1, e3) = e0
% 247.47/43.07 | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (36), (51), (94), (110), (117), (121),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | (125), (128), (133), (134), (135), (139), (140),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | (144), (145), (146), (148), (149), (157), (158),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (168),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | (169), (170), (190), (191), (192), (197), (198),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | (200), (203), (206), (209), (210), (211), (212),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (218), (219), (220),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (226), (227), (230),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | (232), (233), (235), (236), (238), (239), (247),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | (248), (249), (260), (261), (269), (272), (373),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | (10860), (10862), (10863), (10864), (10865),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | (10868), (10870), (11020), (11022), (11023),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | (11025), (11026), (11027), (11028), (11030),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | (11044), (11051), (11074), (11075), (11078),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | (11079), (11103), (function-axioms) are
% 247.47/43.07 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #436.
% 247.47/43.07 | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.07 | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | (11104) all_56_12 = e0 & op(e0, e3) = e0
% 247.47/43.07 | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | ALPHA: (11104) implies:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | (11105) op(e0, e3) = e0
% 247.47/43.07 | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (11043), (11105), (function-axioms) are
% 247.47/43.07 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1830.
% 247.47/43.07 | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | End of split
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | End of split
% 247.47/43.07 | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | Case 2:
% 247.47/43.07 | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | (11106) all_56_5 = e0 & op(e2, e1) = e0
% 247.47/43.07 | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | ALPHA: (11106) implies:
% 247.47/43.07 | | | | | | | | | | | | | | | | (11107) all_56_5 = e0
% 247.47/43.07 | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 247.47/43.07 | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | (11108) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 247.47/43.07 | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 247.47/43.07 | | | | | | | | | | | | | | | | | (11030), (11075), (11108), (function-axioms) are
% 247.47/43.07 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #964.
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | (11109) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 247.47/43.07 | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (223), (224),
% 247.47/43.07 | | | | | | | | | | | | | | | | | (373), (11075), (11107), (11109),
% 247.47/43.07 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.47/43.07 | | | | | | | | | | | | | | | | | #469.
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | End of split
% 247.47/43.07 | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | End of split
% 247.47/43.07 | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | Case 2:
% 247.47/43.07 | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | (11110) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 247.47/43.07 | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 247.47/43.07 | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (10865), (11045), (11110),
% 247.47/43.07 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.47/43.07 | | | | | | | | | | | | | | | #434.
% 247.47/43.07 | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | End of split
% 247.47/43.07 | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | End of split
% 247.47/43.07 | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | End of split
% 247.47/43.07 | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | End of split
% 247.47/43.07 | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | End of split
% 247.47/43.07 | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | Case 2:
% 247.47/43.07 | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | (11111) all_28_2 = e2
% 247.47/43.07 | | | | | | | | | | (11112) ( ~ (all_28_0 = e3) & op(all_28_1, all_28_1) =
% 247.47/43.07 | | | | | | | | | | all_28_0 & op(e2, e0) = all_28_1 & $i(all_28_0)
% 247.47/43.07 | | | | | | | | | | & $i(all_28_1)) | ( ~ (all_28_1 = e1) & op(e2,
% 247.47/43.07 | | | | | | | | | | e0) = all_28_1 & $i(all_28_1))
% 247.47/43.07 | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | COMBINE_EQS: (330), (11111) imply:
% 247.47/43.07 | | | | | | | | | | (11113) all_14_2 = e2
% 247.47/43.07 | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | SIMP: (11113) implies:
% 247.47/43.07 | | | | | | | | | | (11114) all_14_2 = e2
% 247.47/43.07 | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | COMBINE_EQS: (297), (11114) imply:
% 247.47/43.07 | | | | | | | | | | (11115) all_50_2 = e2
% 247.47/43.07 | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | REDUCE: (351), (11114) imply:
% 247.47/43.07 | | | | | | | | | | (11116) ~ (all_52_3 = e2)
% 247.47/43.07 | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | REDUCE: (370), (11114) imply:
% 247.47/43.07 | | | | | | | | | | (11117) ~ (all_52_12 = e2)
% 247.47/43.07 | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | REDUCE: (10870), (11114) imply:
% 247.47/43.07 | | | | | | | | | | (11118) ~ (e3 = e2)
% 247.47/43.07 | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | REDUCE: (51), (11114) imply:
% 247.47/43.07 | | | | | | | | | | (11119) op(e0, e0) = e2
% 247.47/43.07 | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | BETA: splitting (234) gives:
% 247.47/43.07 | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | Case 1:
% 247.47/43.07 | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | (11120) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 247.47/43.07 | | | | | | | | | | | & op(e3, e2) = e2)
% 247.47/43.07 | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | BETA: splitting (11120) gives:
% 247.47/43.07 | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | Case 1:
% 247.47/43.07 | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | (11121) all_56_0 = e2 & op(e3, e3) = e2
% 247.47/43.07 | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | ALPHA: (11121) implies:
% 247.47/43.07 | | | | | | | | | | | | (11122) op(e3, e3) = e2
% 247.47/43.07 | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | REF_CLOSE: (6), (11030), (11122), (function-axioms) are
% 247.47/43.07 | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 247.47/43.07 | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | Case 2:
% 247.47/43.07 | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | (11123) all_56_1 = e2 & op(e3, e2) = e2
% 247.47/43.07 | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | ALPHA: (11123) implies:
% 247.47/43.07 | | | | | | | | | | | | (11124) all_56_1 = e2
% 247.47/43.07 | | | | | | | | | | | | (11125) op(e3, e2) = e2
% 247.47/43.07 | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | BETA: splitting (233) gives:
% 247.47/43.07 | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | Case 1:
% 247.47/43.07 | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | (11126) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 247.47/43.07 | | | | | | | | | | | | | & op(e2, e3) = e2)
% 247.47/43.07 | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | BETA: splitting (11126) gives:
% 247.47/43.07 | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | Case 1:
% 247.47/43.07 | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | (11127) all_56_0 = e2 & op(e3, e3) = e2
% 247.47/43.07 | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | ALPHA: (11127) implies:
% 247.47/43.07 | | | | | | | | | | | | | | (11128) op(e3, e3) = e2
% 247.47/43.07 | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | REF_CLOSE: (6), (11030), (11128), (function-axioms) are
% 247.47/43.07 | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 247.47/43.07 | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | Case 2:
% 247.47/43.07 | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | (11129) all_56_2 = e2 & op(e2, e3) = e2
% 247.47/43.07 | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | ALPHA: (11129) implies:
% 247.47/43.07 | | | | | | | | | | | | | | (11130) op(e2, e3) = e2
% 247.47/43.07 | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 247.47/43.07 | | | | | | | | | | | | | | e3, e2, simplifying with (167), (11130) gives:
% 247.47/43.07 | | | | | | | | | | | | | | (11131) all_52_1 = e2
% 247.47/43.07 | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e2,
% 247.47/43.07 | | | | | | | | | | | | | | e2, e3, simplifying with (170), (11125) gives:
% 247.47/43.07 | | | | | | | | | | | | | | (11132) all_52_4 = e2
% 247.47/43.07 | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | REDUCE: (149), (11131) imply:
% 247.47/43.07 | | | | | | | | | | | | | | (11133) ~ (all_52_2 = e2)
% 247.47/43.07 | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | REDUCE: (146), (11131) imply:
% 247.47/43.07 | | | | | | | | | | | | | | (11134) ~ (all_52_9 = e2)
% 247.47/43.07 | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | REDUCE: (145), (11131) imply:
% 247.47/43.07 | | | | | | | | | | | | | | (11135) ~ (all_52_13 = e2)
% 247.47/43.07 | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | SIMP: (11135) implies:
% 247.47/43.07 | | | | | | | | | | | | | | (11136) ~ (all_52_13 = e2)
% 247.47/43.07 | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | REDUCE: (133), (11132) imply:
% 247.47/43.07 | | | | | | | | | | | | | | (11137) ~ (all_52_12 = e2)
% 247.47/43.07 | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | REDUCE: (352), (11132) imply:
% 247.47/43.07 | | | | | | | | | | | | | | (11138) ~ (all_4_2 = e2)
% 247.47/43.07 | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | SIMP: (11138) implies:
% 247.47/43.07 | | | | | | | | | | | | | | (11139) ~ (all_4_2 = e2)
% 247.47/43.07 | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 247.47/43.07 | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | Case 1:
% 247.47/43.07 | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | (11140) all_54_5 = e3
% 247.47/43.07 | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | COMBINE_EQS: (268), (11140) imply:
% 247.47/43.07 | | | | | | | | | | | | | | | (11141) all_4_2 = e3
% 247.47/43.07 | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | REDUCE: (373), (11141) imply:
% 247.47/43.07 | | | | | | | | | | | | | | | (11142) $false
% 247.47/43.07 | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | CLOSE: (11142) is inconsistent.
% 247.47/43.07 | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | Case 2:
% 247.47/43.07 | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | (11143) ~ (all_54_5 = e3)
% 247.47/43.07 | | | | | | | | | | | | | | | (11144) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 247.47/43.07 | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | BETA: splitting (11144) gives:
% 247.47/43.07 | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | Case 1:
% 247.47/43.07 | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | (11145) all_54_5 = e2
% 247.47/43.07 | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (11145) imply:
% 247.47/43.07 | | | | | | | | | | | | | | | | (11146) all_4_2 = e2
% 247.47/43.07 | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | REDUCE: (11139), (11146) imply:
% 247.47/43.07 | | | | | | | | | | | | | | | | (11147) $false
% 247.47/43.07 | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | CLOSE: (11147) is inconsistent.
% 247.47/43.07 | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | Case 2:
% 247.47/43.07 | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | (11148) ~ (all_54_5 = e2)
% 247.47/43.07 | | | | | | | | | | | | | | | | (11149) all_54_5 = e1 | all_54_5 = e0
% 247.47/43.07 | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | BETA: splitting (11149) gives:
% 247.47/43.07 | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | (11150) all_54_5 = e1
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (11150) imply:
% 247.47/43.07 | | | | | | | | | | | | | | | | | (11151) all_4_2 = e1
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | REDUCE: (10872), (11151) imply:
% 247.47/43.07 | | | | | | | | | | | | | | | | | (11152) $false
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | CLOSE: (11152) is inconsistent.
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | (11153) all_54_5 = e0
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (11153) imply:
% 247.47/43.07 | | | | | | | | | | | | | | | | | (11154) all_4_2 = e0
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (11154) imply:
% 247.47/43.07 | | | | | | | | | | | | | | | | | (11155) all_32_2 = e0
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (11154) imply:
% 247.47/43.07 | | | | | | | | | | | | | | | | | (11156) all_36_2 = e0
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | REDUCE: (356), (11154) imply:
% 247.47/43.07 | | | | | | | | | | | | | | | | | (11157) ~ (all_52_7 = e0)
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | REDUCE: (360), (11154) imply:
% 247.47/43.07 | | | | | | | | | | | | | | | | | (11158) ~ (all_52_13 = e0)
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | REDUCE: (373), (11154) imply:
% 247.47/43.07 | | | | | | | | | | | | | | | | | (11159) ~ (e3 = e0)
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | REDUCE: (11139), (11154) imply:
% 247.47/43.07 | | | | | | | | | | | | | | | | | (11160) ~ (e2 = e0)
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | REDUCE: (10872), (11154) imply:
% 247.47/43.07 | | | | | | | | | | | | | | | | | (11161) ~ (e1 = e0)
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | REDUCE: (36), (11154) imply:
% 247.47/43.07 | | | | | | | | | | | | | | | | | (11162) op(e2, e2) = e0
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 247.47/43.07 | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.07 | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | (11163) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 247.47/43.07 | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 247.47/43.07 | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 247.47/43.07 | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 247.47/43.07 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 247.47/43.07 | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 247.47/43.07 | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 247.47/43.07 | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 247.47/43.07 | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 247.47/43.07 | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 247.47/43.07 | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 247.47/43.07 | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 247.47/43.07 | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 247.47/43.07 | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 247.47/43.07 | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 247.47/43.07 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 247.47/43.07 | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 247.47/43.07 | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 247.47/43.07 | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (164), (206), (373), (11119), (11130),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | (11136), (11162), (11163), (function-axioms) are
% 247.47/43.07 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #460.
% 247.47/43.07 | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.07 | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | (11164) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 247.47/43.07 | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 247.47/43.07 | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 247.47/43.07 | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 247.47/43.07 | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 247.47/43.07 | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 247.47/43.07 | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 247.47/43.07 | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 247.47/43.07 | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 247.47/43.07 | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 247.47/43.07 | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 247.47/43.07 | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 247.47/43.07 | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 247.47/43.07 | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 247.47/43.07 | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 247.47/43.07 | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 247.47/43.07 | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 247.47/43.07 | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 247.47/43.07 | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | BETA: splitting (11164) gives:
% 247.47/43.07 | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | (11165) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 247.47/43.07 | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | ALPHA: (11165) implies:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | (11166) op(e1, e0) = all_57_29
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | (11167) op(e1, e1) = all_57_30
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | (11168) op(e1, e2) = all_57_20
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | (11169) op(e1, e3) = all_57_17
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | (11170) op(e1, all_57_30) = e1
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | (11171) op(e1, all_57_20) = e2
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | (11172) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | $i(all_57_24))
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | (11173) (all_57_28 = e1 & op(e2, e2) = e1) | ( ~
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & op(e2, e1) = all_57_23 &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 247.47/43.07 | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | BETA: splitting (11172) gives:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | (11174) all_57_31 = e1 & op(e0, e0) = e1
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | ALPHA: (11174) implies:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | (11175) op(e0, e0) = e1
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11119), (11175), (function-axioms) are
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | (11176) ~ (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | $i(all_57_24)
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | ALPHA: (11176) implies:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | (11177) ~ (all_57_24 = e0)
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | (11178) op(e0, e1) = all_57_24
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11173) gives:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | (11179) all_57_28 = e1 & op(e2, e2) = e1
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11179) implies:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | (11180) op(e2, e2) = e1
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11162), (11180), (function-axioms) are
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1795.
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | (11181) ~ (all_57_23 = e2) & op(e2, e1) = all_57_23 &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11181) implies:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | (11182) op(e2, e1) = all_57_23
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | all_57_24, e1, e0, simplifying with (157), (11178)
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | gives:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | (11183) all_57_24 = all_52_11
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | all_57_29, e0, e1, simplifying with (160), (11166)
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | gives:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | (11184) all_57_29 = all_52_14
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (10865),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | (11167) gives:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | (11185) all_57_30 = e2
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | all_57_20, e2, e1, simplifying with (162), (11168)
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | gives:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | (11186) all_57_20 = all_52_6
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | all_57_17, e3, e1, simplifying with (163), (11169)
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | gives:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | (11187) all_57_17 = all_52_2
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | all_57_23, e1, e2, simplifying with (165), (11182)
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | gives:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | (11188) all_57_23 = all_52_9
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11177), (11183) imply:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | (11189) ~ (all_52_11 = e0)
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11171), (11186) imply:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | (11190) op(e1, all_52_6) = e2
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11170), (11185) imply:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | (11191) op(e1, e2) = e1
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | (11192) all_56_15 = e0 & op(e0, e0) = e0
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11192) implies:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | (11193) op(e0, e0) = e0
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11119), (11193), (function-axioms) are
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1842.
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | (11194) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11194) implies:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | (11195) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11195) gives:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | (11196) all_56_12 = e0 & op(e0, e3) = e0
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11196) implies:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | (11197) all_56_12 = e0
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | (11198) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (9), (164), (223), (11030),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | (11136), (11162), (11173), (11198),
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | #1136.
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | (11199) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11199) gives:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | (11200) all_56_6 = e3 & op(e1, e3) = e3
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11200) implies:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | (11201) all_56_6 = e3
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (11202) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11202) gives:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11203) all_56_4 = e0 & op(e3, e1) = e0
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11203) implies:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11204) all_56_4 = e0
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11205) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11205) gives:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11206) all_56_0 = e3 & op(e3, e3) = e3
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11206) implies:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11207) op(e3, e3) = e3
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11030), (11207), (function-axioms) are
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1864.
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11208) all_56_1 = e3 & op(e3, e2) = e3
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11208) implies:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11209) all_56_1 = e3
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11124), (11209) imply:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11210) e3 = e2
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (11210) imply:
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11211) $false
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11211) is inconsistent.
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11212) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11212) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11213) all_56_4 = e3 & op(e3, e1) = e3
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11204), (11213) are inconsistent by
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1775.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11214) all_56_9 = e3 & op(e3, e0) = e3
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11214) implies:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11215) all_56_9 = e3
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11216) op(e3, e0) = e3
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11217) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11217) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11218) all_56_6 = e0 & op(e1, e3) = e0
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11201), (11218) are inconsistent by
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #527.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11219) all_56_7 = e0 & op(e1, e2) = e0
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11219) implies:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11220) op(e1, e2) = e0
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11191), (11220), (function-axioms) are
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1719.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11221) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11221) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11222) all_56_8 = e0 & op(e1, e1) = e0
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11222) implies:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11223) op(e1, e1) = e0
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11204), (11223), (function-axioms) are
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1515.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11224) all_56_11 = e0 & op(e1, e0) = e0
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11224) implies:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11225) all_56_11 = e0
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11226) op(e1, e0) = e0
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11227) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11227) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11228) all_56_6 = e1 & op(e1, e3) = e1
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11228) implies:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11229) op(e1, e3) = e1
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (11024), (11229), (function-axioms) are
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1069.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11230) all_56_7 = e1 & op(e1, e2) = e1
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11230) implies:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11231) all_56_7 = e1
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11232) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11232) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11233) all_56_9 = e1 & op(e3, e0) = e1
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11233) implies:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11234) op(e3, e0) = e1
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (11028), (11234), (function-axioms) are
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1848.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11235) all_56_10 = e1 & op(e2, e0) = e1
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11235) implies:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11236) all_56_10 = e1
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11237) op(e2, e0) = e1
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11238) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11238) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11239) all_56_1 = e3 & op(e3, e2) = e3
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11239) implies:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11240) all_56_1 = e3
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11124), (11240) imply:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11241) e3 = e2
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11241) implies:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11242) e3 = e2
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11215), (11242) imply:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11243) all_56_9 = e2
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (168), (206),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (212), (10870), (11028), (11119), (11236),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11243), (function-axioms) are inconsistent by
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1796.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11244) all_56_3 = e3 & op(e2, e2) = e3
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11244) implies:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11245) op(e2, e2) = e3
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (11245), (function-axioms) are
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11246) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11246) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11247) all_56_7 = e3 & op(e1, e2) = e3
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11247) implies:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11248) op(e1, e2) = e3
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (10859), (10872), (11168), (11171),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11173), (11248), (function-axioms) are
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #552.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11249) all_56_13 = e3 & op(e0, e2) = e3
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11249) implies:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11250) all_56_13 = e3
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11251) op(e0, e2) = e3
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11252) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (9), (36), (164), (223), (373), (11136),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11162), (11173), (11252), (function-axioms) are
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1316.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11253) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11253) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11254) all_56_5 = e3 & op(e2, e1) = e3
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11254) implies:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11255) all_56_5 = e3
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11256) op(e2, e1) = e3
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11257) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11257) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11258) all_56_12 = e1 & op(e0, e3) = e1
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11258) implies:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11259) op(e0, e3) = e1
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (11177), (11178), (11195), (11250),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11259), (function-axioms) are inconsistent by
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1070.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11260) all_56_13 = e1 & op(e0, e2) = e1
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11250), (11260) are inconsistent by
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1701.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11261) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11261) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11262) all_56_14 = e1 & op(e0, e1) = e1
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11262) implies:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11263) all_56_14 = e1
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11264) op(e0, e1) = e1
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, e0, simplifying with (157), (11264) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11265) all_52_11 = e1
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e3,
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (11251) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11266) all_52_7 = e3
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (11226) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11267) all_52_14 = e0
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (11191) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11268) all_52_6 = e1
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (164), (11237) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11269) all_52_13 = e1
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e3,
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (11256) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11270) all_52_9 = e3
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (11216) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11271) all_52_12 = e3
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11184), (11267) imply:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11272) all_57_29 = e0
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11273) ~ (all_32_2 = e0)
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11155), (11273) imply:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11274) $false
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11274) is inconsistent.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11275) ( ~ (all_32_0 = e1) & op(all_32_1, all_32_1) =
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_0 & op(e0, e2) = all_32_1 & $i(all_32_0)
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_32_1)) | ( ~ (all_32_1 = e3) & op(e0,
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_32_1 & $i(all_32_1))
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11276) ~ (all_36_2 = e0)
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11156), (11276) imply:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11277) $false
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11277) is inconsistent.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11278) ( ~ (all_36_0 = e3) & op(all_36_1, all_36_1) =
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_36_0 & op(e0, e2) = all_36_1 & $i(all_36_0)
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_36_1)) | ( ~ (all_36_1 = e1) & op(e0,
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_36_1 & $i(all_36_1))
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11279) ~ (all_50_2 = e2)
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11115), (11279) imply:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11280) $false
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11280) is inconsistent.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11281) ( ~ (all_50_0 = e1) & op(all_50_1, all_50_1) =
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0 & op(e2, e0) = all_50_1 & $i(all_50_0)
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_50_1)) | ( ~ (all_50_1 = e3) & op(e2,
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_50_1 & $i(all_50_1))
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11278) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11282) ~ (all_36_0 = e3) & op(all_36_1, all_36_1) =
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_36_0 & op(e0, e2) = all_36_1 & $i(all_36_0) &
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11282) implies:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11283) op(e0, e2) = all_36_1
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (164),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (206), (208), (210), (212), (215), (219),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (226), (235), (238), (373), (10857),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10865), (10870), (10872), (11028), (11030),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11112), (11119), (11124), (11125), (11136),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11162), (11172), (11173), (11182), (11191),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11204), (11215), (11225), (11231), (11236),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11237), (11250), (11251), (11255), (11256),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11263), (11264), (11272), (11275), (11281),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11283), (function-axioms) are inconsistent by
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #431.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11284) ~ (all_36_1 = e1) & op(e0, e2) = all_36_1 &
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11284) implies:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11285) op(e0, e2) = all_36_1
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (164),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (206), (208), (210), (212), (215), (219),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (226), (235), (238), (373), (10857),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10865), (10870), (10872), (11028), (11030),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11112), (11119), (11124), (11125), (11136),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11162), (11172), (11173), (11182), (11191),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11204), (11215), (11225), (11231), (11236),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11237), (11250), (11251), (11255), (11256),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11263), (11264), (11272), (11275), (11281),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11285), (function-axioms) are inconsistent by
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #431.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11286) all_56_15 = e1 & op(e0, e0) = e1
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11286) implies:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11287) op(e0, e0) = e1
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11119), (11287), (function-axioms) are
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1802.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11288) all_56_10 = e3 & op(e2, e0) = e3
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11288) implies:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11289) all_56_10 = e3
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11236), (11289) are inconsistent by
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1812.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11290) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (11119), (11225), (11290),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #430.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11291) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (10865), (11225), (11291),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #429.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11292) all_56_5 = e0 & op(e2, e1) = e0
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11292) implies:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11293) all_56_5 = e0
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (222),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (233), (235), (373), (11030),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11136), (11162), (11197), (11293),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | #428.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (11294) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (10865), (11189), (11294),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | #434.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | (11295) all_56_12 = e3 & op(e0, e3) = e3
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11295) implies:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | (11296) all_56_12 = e3
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11197), (11296) are inconsistent by
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1644.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | (11297) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (11157), (11189), (11297),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | | #635.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | (11298) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 247.47/43.08 | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | ALPHA: (11298) implies:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | (11299) op(e0, all_57_31) = e0
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | (11300) op(e0, all_57_24) = e1
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | (11301) (all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | (11302) (all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | $i(all_57_25))
% 247.47/43.08 | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | BETA: splitting (11301) gives:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | (11303) all_57_30 = e0 & op(e1, e1) = e0
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | ALPHA: (11303) implies:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | (11304) op(e1, e1) = e0
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10865), (11304), (function-axioms) are
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1523.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | (11305) ~ (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | ALPHA: (11305) implies:
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | (11306) ~ (all_57_29 = e1)
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | (11307) op(e1, e0) = all_57_29
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9), (36), (51), (158), (165), (238),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | (373), (10862), (10865), (10870), (10872),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | (11030), (11119), (11125), (11157), (11162),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | (11299), (11300), (11302), (11306), (11307),
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | | #426.
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | (11308) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 247.47/43.08 | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 247.47/43.08 | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | | REF_CLOSE: (159), (163), (10859), (11116), (11308),
% 247.47/43.08 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.47/43.08 | | | | | | | | | | | | | #454.
% 247.47/43.08 | | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | (11309) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 247.47/43.08 | | | | | | | | | | | & op(e3, e0) = e2)
% 247.47/43.08 | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | REF_CLOSE: (168), (169), (10861), (11117), (11309),
% 247.47/43.08 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.47/43.08 | | | | | | | | | | | #424.
% 247.47/43.08 | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | End of split
% 247.47/43.08 | | | | | | | | |
% 247.47/43.08 | | | | | | | | End of split
% 247.47/43.08 | | | | | | | |
% 247.47/43.08 | | | | | | | Case 2:
% 247.47/43.08 | | | | | | | |
% 247.47/43.08 | | | | | | | | (11310) all_24_2 = e1
% 247.47/43.08 | | | | | | | |
% 247.47/43.08 | | | | | | | | COMBINE_EQS: (318), (11310) imply:
% 247.47/43.08 | | | | | | | | (11311) all_4_2 = e1
% 247.47/43.08 | | | | | | | |
% 247.47/43.08 | | | | | | | | REDUCE: (354), (11311) imply:
% 247.47/43.08 | | | | | | | | (11312) ~ (all_52_6 = e1)
% 247.47/43.08 | | | | | | | |
% 247.47/43.08 | | | | | | | | REDUCE: (358), (11311) imply:
% 247.47/43.08 | | | | | | | | (11313) ~ (all_52_9 = e1)
% 247.47/43.08 | | | | | | | |
% 247.47/43.08 | | | | | | | | REDUCE: (360), (11311) imply:
% 247.47/43.08 | | | | | | | | (11314) ~ (all_52_13 = e1)
% 247.47/43.08 | | | | | | | |
% 247.47/43.08 | | | | | | | | REDUCE: (373), (11311) imply:
% 247.47/43.08 | | | | | | | | (11315) ~ (e3 = e1)
% 247.47/43.08 | | | | | | | |
% 247.47/43.08 | | | | | | | | REDUCE: (36), (11311) imply:
% 247.47/43.08 | | | | | | | | (11316) op(e2, e2) = e1
% 247.47/43.08 | | | | | | | |
% 247.47/43.08 | | | | | | | | BETA: splitting (70) gives:
% 247.47/43.08 | | | | | | | |
% 247.47/43.08 | | | | | | | | Case 1:
% 247.47/43.08 | | | | | | | | |
% 247.47/43.08 | | | | | | | | | (11317) ~ (all_26_2 = e1)
% 247.47/43.08 | | | | | | | | |
% 247.47/43.08 | | | | | | | | | REDUCE: (307), (11317) imply:
% 247.47/43.08 | | | | | | | | | (11318) ~ (all_6_2 = e1)
% 247.47/43.08 | | | | | | | | |
% 247.47/43.08 | | | | | | | | | BETA: splitting (204) gives:
% 247.47/43.08 | | | | | | | | |
% 247.47/43.08 | | | | | | | | | Case 1:
% 247.47/43.08 | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | (11319) all_54_0 = e3
% 247.47/43.08 | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | COMBINE_EQS: (279), (11319) imply:
% 247.47/43.08 | | | | | | | | | | (11320) all_6_2 = e3
% 247.47/43.08 | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | SIMP: (11320) implies:
% 247.47/43.08 | | | | | | | | | | (11321) all_6_2 = e3
% 247.47/43.08 | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | REDUCE: (344), (11321) imply:
% 247.47/43.08 | | | | | | | | | | (11322) ~ (all_52_4 = e3)
% 247.47/43.08 | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | REDUCE: (346), (11321) imply:
% 247.47/43.08 | | | | | | | | | | (11323) ~ (all_52_8 = e3)
% 247.47/43.08 | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | REDUCE: (348), (11321) imply:
% 247.47/43.08 | | | | | | | | | | (11324) ~ (all_52_12 = e3)
% 247.47/43.08 | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | REDUCE: (39), (11321) imply:
% 247.47/43.08 | | | | | | | | | | (11325) op(e3, e3) = e3
% 247.47/43.08 | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | BETA: splitting (238) gives:
% 247.47/43.08 | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | Case 1:
% 247.47/43.08 | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | (11326) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.47/43.08 | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.47/43.08 | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.47/43.08 | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.47/43.08 | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.47/43.08 | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.47/43.08 | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.47/43.08 | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.47/43.08 | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 247.47/43.08 | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.47/43.08 | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 247.47/43.08 | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 247.47/43.08 | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 247.47/43.08 | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 247.47/43.08 | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 247.47/43.08 | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 247.47/43.08 | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 247.47/43.08 | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 247.47/43.08 | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 247.47/43.08 | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 247.47/43.08 | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.47/43.08 | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 247.47/43.08 | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 247.47/43.08 | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 247.47/43.08 | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 247.47/43.08 | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 247.47/43.08 | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 247.47/43.08 | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 247.47/43.08 | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 247.47/43.08 | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 247.47/43.08 | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 247.47/43.08 | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 247.47/43.08 | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 247.47/43.08 | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.47/43.08 | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 247.47/43.08 | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.47/43.08 | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 247.47/43.08 | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 247.47/43.08 | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 247.47/43.08 | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | BETA: splitting (11326) gives:
% 247.47/43.08 | | | | | | | | | | |
% 247.47/43.08 | | | | | | | | | | | Case 1:
% 247.47/43.08 | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | (11327) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.47/43.09 | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.47/43.09 | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.47/43.09 | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.47/43.09 | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.47/43.09 | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.47/43.09 | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.47/43.09 | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.47/43.09 | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 247.47/43.09 | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.47/43.09 | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 247.47/43.09 | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 247.47/43.09 | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 247.47/43.09 | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 247.47/43.09 | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 247.47/43.09 | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 247.47/43.09 | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 247.47/43.09 | | | | | | | | | | | | $i(all_57_30))
% 247.47/43.09 | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | BETA: splitting (11327) gives:
% 247.47/43.09 | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | Case 1:
% 247.47/43.09 | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | (11328) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.47/43.09 | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.47/43.09 | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.47/43.09 | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.47/43.09 | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.47/43.09 | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.47/43.09 | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.47/43.09 | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.47/43.09 | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 247.47/43.09 | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | REF_CLOSE: (9), (51), (10865), (10870), (11328),
% 247.47/43.09 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.47/43.09 | | | | | | | | | | | | | #468.
% 247.47/43.09 | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | Case 2:
% 247.47/43.09 | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | (11329) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 247.47/43.09 | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 247.47/43.09 | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 247.47/43.09 | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 247.47/43.09 | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 247.47/43.09 | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 247.47/43.09 | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 247.47/43.09 | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.47/43.09 | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 247.47/43.09 | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | REF_CLOSE: (8), (51), (10870), (11316), (11329),
% 247.47/43.09 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.47/43.09 | | | | | | | | | | | | | #1541.
% 247.47/43.09 | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | End of split
% 247.47/43.09 | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | Case 2:
% 247.47/43.09 | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | (11330) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 247.47/43.09 | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 247.47/43.09 | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 247.47/43.09 | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 247.47/43.09 | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 247.47/43.09 | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 247.47/43.09 | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 247.47/43.09 | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.47/43.09 | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 247.47/43.09 | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 247.47/43.09 | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 247.47/43.09 | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 247.47/43.09 | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 247.47/43.09 | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 247.47/43.09 | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 247.47/43.09 | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 247.47/43.09 | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 247.47/43.09 | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 247.47/43.09 | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 247.47/43.09 | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 247.47/43.09 | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.47/43.09 | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 247.47/43.09 | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | BETA: splitting (11330) gives:
% 247.47/43.09 | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | Case 1:
% 247.47/43.09 | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | (11331) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 247.47/43.09 | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 247.47/43.09 | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 247.47/43.09 | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 247.47/43.09 | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 247.47/43.09 | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 247.47/43.09 | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 247.47/43.09 | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.47/43.09 | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 247.47/43.09 | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | REF_CLOSE: (170), (11322), (11331), (function-axioms) are
% 247.47/43.09 | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 247.47/43.09 | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | Case 2:
% 247.47/43.09 | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | (11332) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 247.47/43.09 | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 247.47/43.09 | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 247.47/43.09 | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 247.47/43.09 | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 247.47/43.09 | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 247.47/43.09 | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 247.47/43.09 | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.47/43.09 | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 247.47/43.09 | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.47/43.09 | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 247.47/43.09 | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 247.47/43.09 | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 247.47/43.09 | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | REF_CLOSE: (162), (169), (11312), (11323), (11332),
% 247.47/43.09 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.47/43.09 | | | | | | | | | | | | | #1540.
% 247.47/43.09 | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | End of split
% 247.47/43.09 | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | End of split
% 247.47/43.09 | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | Case 2:
% 247.47/43.09 | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | (11333) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.47/43.09 | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.47/43.09 | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.47/43.09 | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.47/43.09 | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 247.47/43.09 | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 247.47/43.09 | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.47/43.09 | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 247.47/43.09 | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 247.47/43.09 | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 247.47/43.09 | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 247.47/43.09 | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 247.47/43.09 | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 247.47/43.09 | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 247.47/43.09 | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 247.47/43.09 | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 247.47/43.09 | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 247.47/43.09 | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 247.47/43.09 | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 247.47/43.09 | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 247.47/43.09 | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.47/43.09 | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 247.47/43.09 | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 247.47/43.09 | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 247.47/43.09 | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 247.47/43.09 | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 247.47/43.09 | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 247.47/43.09 | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 247.47/43.09 | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 247.47/43.09 | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 247.47/43.09 | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 247.47/43.09 | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 247.47/43.09 | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 247.47/43.09 | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.47/43.09 | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 247.47/43.09 | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 247.47/43.09 | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 247.47/43.09 | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 247.47/43.09 | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 247.47/43.09 | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 247.47/43.09 | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 247.47/43.09 | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 247.47/43.09 | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 247.47/43.09 | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 247.47/43.09 | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.47/43.09 | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.47/43.09 | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.47/43.09 | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.47/43.09 | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.47/43.09 | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.47/43.09 | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.47/43.09 | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.47/43.09 | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.47/43.09 | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.47/43.09 | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.47/43.09 | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.47/43.09 | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.47/43.09 | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.47/43.09 | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.47/43.09 | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.47/43.09 | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.47/43.09 | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.47/43.09 | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.47/43.09 | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.47/43.09 | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | BETA: splitting (11333) gives:
% 247.47/43.09 | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | Case 1:
% 247.47/43.09 | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | (11334) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.47/43.09 | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.47/43.09 | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.47/43.09 | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.47/43.09 | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 247.47/43.09 | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 247.47/43.09 | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.47/43.09 | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 247.47/43.09 | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 247.47/43.09 | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 247.47/43.09 | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 247.47/43.09 | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 247.47/43.09 | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 247.47/43.09 | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 247.47/43.09 | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 247.47/43.09 | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 247.47/43.09 | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 247.47/43.09 | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 247.47/43.09 | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 247.47/43.09 | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 247.47/43.09 | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.47/43.09 | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 247.47/43.09 | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | BETA: splitting (11334) gives:
% 247.47/43.09 | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | Case 1:
% 247.47/43.09 | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | (11335) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.47/43.09 | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.47/43.09 | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.47/43.09 | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.47/43.09 | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 247.47/43.09 | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 247.47/43.09 | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.47/43.09 | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 247.47/43.09 | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 247.47/43.09 | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | REF_CLOSE: (8), (51), (10868), (11325), (11335),
% 247.47/43.09 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.47/43.09 | | | | | | | | | | | | | #1863.
% 247.47/43.09 | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | Case 2:
% 247.47/43.09 | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | (11336) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 247.47/43.09 | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 247.47/43.09 | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 247.47/43.09 | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.47/43.09 | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 247.47/43.09 | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 247.47/43.09 | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 247.47/43.09 | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 247.47/43.09 | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 247.47/43.09 | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 247.47/43.09 | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 247.47/43.09 | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 247.47/43.09 | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 247.47/43.09 | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | REF_CLOSE: (51), (168), (10868), (11324), (11336),
% 247.47/43.09 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.47/43.09 | | | | | | | | | | | | | #1860.
% 247.47/43.09 | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | End of split
% 247.47/43.09 | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | Case 2:
% 247.47/43.09 | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | (11337) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 247.47/43.09 | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 247.47/43.09 | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 247.47/43.09 | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 247.47/43.09 | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 247.47/43.09 | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 247.47/43.09 | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 247.47/43.09 | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.47/43.09 | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 247.47/43.09 | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 247.47/43.09 | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 247.47/43.09 | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 247.47/43.09 | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 247.47/43.09 | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.47/43.09 | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 247.47/43.09 | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 247.47/43.09 | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 247.47/43.09 | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 247.47/43.09 | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 247.47/43.09 | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 247.47/43.09 | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 247.47/43.09 | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 247.47/43.09 | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.47/43.09 | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.47/43.09 | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.47/43.09 | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.47/43.09 | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.47/43.09 | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.47/43.09 | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.47/43.09 | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.47/43.09 | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.47/43.09 | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.47/43.09 | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.47/43.09 | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.47/43.09 | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.47/43.09 | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.47/43.09 | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.47/43.09 | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.47/43.09 | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.47/43.09 | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.47/43.09 | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.47/43.09 | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.47/43.09 | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | BETA: splitting (11337) gives:
% 247.47/43.09 | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | Case 1:
% 247.47/43.09 | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | (11338) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 247.47/43.09 | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 247.47/43.09 | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 247.47/43.09 | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 247.47/43.09 | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 247.47/43.09 | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 247.47/43.09 | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 247.47/43.09 | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.47/43.09 | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 247.47/43.09 | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | REF_CLOSE: (7), (11325), (11338), (function-axioms) are
% 247.47/43.09 | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 247.47/43.09 | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | Case 2:
% 247.47/43.09 | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | (11339) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 247.47/43.09 | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 247.47/43.09 | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 247.47/43.09 | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 247.47/43.09 | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 247.47/43.09 | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 247.47/43.09 | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 247.47/43.09 | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.47/43.09 | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 247.47/43.09 | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 247.47/43.09 | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.47/43.09 | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 247.47/43.09 | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 247.47/43.09 | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 247.47/43.09 | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 247.47/43.09 | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 247.47/43.09 | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 247.47/43.09 | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.47/43.09 | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.47/43.09 | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.47/43.09 | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.47/43.09 | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.47/43.09 | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.47/43.09 | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.47/43.09 | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.47/43.09 | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.47/43.09 | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.47/43.09 | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.47/43.09 | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.47/43.09 | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.47/43.09 | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.47/43.09 | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.47/43.09 | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.47/43.09 | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | BETA: splitting (11339) gives:
% 247.47/43.09 | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | Case 1:
% 247.47/43.09 | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | (11340) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 247.47/43.09 | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 247.47/43.09 | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 247.47/43.09 | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 247.47/43.09 | | | | | | | | | | | | | | $i(all_57_29)
% 247.47/43.09 | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | ALPHA: (11340) implies:
% 247.47/43.09 | | | | | | | | | | | | | | (11341) all_57_30 = e0
% 247.47/43.09 | | | | | | | | | | | | | | (11342) all_57_27 = e2
% 247.47/43.09 | | | | | | | | | | | | | | (11343) ~ (all_57_29 = e1)
% 247.47/43.09 | | | | | | | | | | | | | | (11344) ~ (all_57_28 = e0)
% 247.47/43.09 | | | | | | | | | | | | | | (11345) op(e1, e0) = all_57_29
% 247.47/43.09 | | | | | | | | | | | | | | (11346) op(e1, e1) = e0
% 247.47/43.09 | | | | | | | | | | | | | | (11347) op(e2, e0) = e2
% 247.47/43.09 | | | | | | | | | | | | | | (11348) op(e2, e2) = all_57_28
% 247.47/43.09 | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | REF_CLOSE: (7), (39), (51), (112), (120), (121), (133),
% 247.47/43.09 | | | | | | | | | | | | | | (157), (160), (162), (164), (168), (169), (170),
% 247.47/43.09 | | | | | | | | | | | | | | (202), (204), (210), (214), (238), (239), (271),
% 247.47/43.09 | | | | | | | | | | | | | | (279), (344), (346), (348), (370), (374), (10867),
% 247.47/43.09 | | | | | | | | | | | | | | (10868), (10870), (11312), (11314), (11316),
% 247.47/43.09 | | | | | | | | | | | | | | (11341), (11342), (11343), (11344), (11345),
% 247.47/43.09 | | | | | | | | | | | | | | (11346), (11347), (11348), (function-axioms) are
% 247.47/43.09 | | | | | | | | | | | | | | inconsistent by sub-proof #1302.
% 247.47/43.09 | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | Case 2:
% 247.47/43.09 | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | (11349) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.47/43.09 | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 247.47/43.09 | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 247.47/43.09 | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 247.47/43.09 | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 247.47/43.09 | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 247.47/43.09 | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 247.47/43.09 | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 247.47/43.09 | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 247.47/43.09 | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.47/43.09 | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.47/43.09 | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.47/43.09 | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.47/43.09 | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.47/43.09 | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.47/43.09 | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.47/43.09 | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.47/43.09 | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.47/43.09 | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.47/43.09 | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.47/43.09 | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.47/43.09 | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.47/43.09 | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.47/43.09 | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.47/43.09 | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.47/43.09 | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.47/43.09 | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.47/43.09 | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.47/43.09 | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.47/43.09 | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | BETA: splitting (11349) gives:
% 247.47/43.09 | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | Case 1:
% 247.47/43.09 | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | (11350) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.47/43.09 | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 247.47/43.09 | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 247.47/43.09 | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 247.47/43.09 | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | ALPHA: (11350) implies:
% 247.47/43.09 | | | | | | | | | | | | | | | (11351) op(e2, e2) = e0
% 247.47/43.09 | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | REF_CLOSE: (4), (11316), (11351), (function-axioms) are
% 247.47/43.09 | | | | | | | | | | | | | | | inconsistent by sub-proof #1795.
% 247.47/43.09 | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | Case 2:
% 247.47/43.09 | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | (11352) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 247.47/43.09 | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 247.47/43.09 | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 247.47/43.09 | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 247.47/43.09 | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 247.47/43.09 | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 247.47/43.09 | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 247.47/43.09 | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 247.47/43.09 | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 247.47/43.09 | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 247.47/43.09 | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 247.47/43.09 | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 247.47/43.09 | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 247.47/43.09 | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 247.47/43.09 | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 247.47/43.09 | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 247.47/43.09 | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 247.47/43.09 | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 247.47/43.09 | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 247.47/43.09 | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 247.47/43.09 | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 247.47/43.09 | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 247.47/43.09 | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | ALPHA: (11352) implies:
% 247.47/43.09 | | | | | | | | | | | | | | | (11353) op(e0, e0) = all_57_31
% 247.47/43.09 | | | | | | | | | | | | | | | (11354) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 247.47/43.09 | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 247.47/43.09 | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 247.47/43.09 | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 247.47/43.09 | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.47/43.09 | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.47/43.09 | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 247.47/43.09 | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 247.47/43.09 | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 247.47/43.09 | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 247.47/43.09 | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 247.47/43.09 | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 247.47/43.09 | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 247.47/43.09 | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 247.47/43.09 | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.47/43.09 | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.47/43.09 | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 247.47/43.09 | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.47/43.09 | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 247.47/43.09 | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 247.47/43.09 | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 247.47/43.09 | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (51), (11353)
% 247.47/43.09 | | | | | | | | | | | | | | | gives:
% 247.47/43.09 | | | | | | | | | | | | | | | (11355) all_57_31 = all_14_2
% 247.47/43.09 | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 247.47/43.09 | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | Case 1:
% 247.47/43.09 | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | (11356) ~ (all_28_2 = e2)
% 247.47/43.09 | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | REDUCE: (330), (11356) imply:
% 247.47/43.09 | | | | | | | | | | | | | | | | (11357) ~ (all_14_2 = e2)
% 247.47/43.09 | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (157), (158), (159), (189), (246),
% 247.47/43.09 | | | | | | | | | | | | | | | | (351), (362), (369), (10868), (10870), (11316),
% 247.47/43.09 | | | | | | | | | | | | | | | | (11325), (11354), (11357), (function-axioms) are
% 247.47/43.09 | | | | | | | | | | | | | | | | inconsistent by sub-proof #423.
% 247.47/43.09 | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | Case 2:
% 247.47/43.09 | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | (11358) all_28_2 = e2
% 247.47/43.09 | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (11358) imply:
% 247.47/43.09 | | | | | | | | | | | | | | | | (11359) all_14_2 = e2
% 247.47/43.09 | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | SIMP: (11359) implies:
% 247.47/43.09 | | | | | | | | | | | | | | | | (11360) all_14_2 = e2
% 247.47/43.09 | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | COMBINE_EQS: (11355), (11360) imply:
% 247.47/43.09 | | | | | | | | | | | | | | | | (11361) all_57_31 = e2
% 247.47/43.09 | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | REDUCE: (351), (11360) imply:
% 247.47/43.09 | | | | | | | | | | | | | | | | (11362) ~ (all_52_3 = e2)
% 247.47/43.09 | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | REDUCE: (10870), (11360) imply:
% 247.47/43.09 | | | | | | | | | | | | | | | | (11363) ~ (e3 = e2)
% 247.47/43.09 | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | REDUCE: (51), (11360) imply:
% 247.47/43.09 | | | | | | | | | | | | | | | | (11364) op(e0, e0) = e2
% 247.47/43.09 | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 247.47/43.09 | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.09 | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | (11365) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 247.47/43.09 | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 247.47/43.09 | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | BETA: splitting (11365) gives:
% 247.47/43.09 | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.09 | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | (11366) all_56_0 = e2 & op(e3, e3) = e2
% 247.47/43.09 | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | ALPHA: (11366) implies:
% 247.47/43.09 | | | | | | | | | | | | | | | | | | (11367) op(e3, e3) = e2
% 247.47/43.09 | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11325), (11367), (function-axioms) are
% 247.47/43.09 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 247.47/43.09 | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.09 | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | (11368) all_56_2 = e2 & op(e2, e3) = e2
% 247.47/43.09 | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | ALPHA: (11368) implies:
% 247.47/43.09 | | | | | | | | | | | | | | | | | | (11369) op(e2, e3) = e2
% 247.47/43.09 | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | BETA: splitting (11354) gives:
% 247.47/43.09 | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.09 | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | (11370) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 247.47/43.09 | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | BETA: splitting (11370) gives:
% 247.47/43.09 | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | (11371) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | ALPHA: (11371) implies:
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | (11372) op(e2, e2) = e3
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11316), (11372), (function-axioms) are
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | (11373) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10865), (11325), (11373), (function-axioms)
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #422.
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.09 | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.09 | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | (11374) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 247.47/43.09 | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | BETA: splitting (11374) gives:
% 247.47/43.09 | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | (11375) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | ALPHA: (11375) implies:
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | (11376) ~ (all_57_31 = e2)
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11353), (11364), (11376), (function-axioms) are
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #787.
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | (11377) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11377) gives:
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | | (11378) all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11378) implies:
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | | (11379) op(e3, e3) = e1
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11325), (11379), (function-axioms) are
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1864.
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | | (11380) all_57_24 = e0 & all_57_28 = e1 & ~ (all_57_23 =
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e1) & op(e2, e2) = e1 &
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & op(e0, e1) = e0 &
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11380) implies:
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | | (11381) all_57_28 = e1
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | | (11382) all_57_24 = e0
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | | (11383) ~ (all_57_31 = e1)
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | | (11384) ~ (all_57_23 = e2)
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | | (11385) op(e0, e1) = e0
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (36), (239), (373), (11316), (11364),
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | | (11369), (11381), (11382), (11383), (11384),
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | | (11385), (function-axioms) are inconsistent by
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | | sub-proof #421.
% 247.47/43.09 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.10 | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | End of split
% 247.47/43.10 | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | End of split
% 247.47/43.10 | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.10 | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | (11386) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 247.47/43.10 | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 247.47/43.10 | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (10859), (11362), (11386),
% 247.47/43.10 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.47/43.10 | | | | | | | | | | | | | | | | | #454.
% 247.47/43.10 | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | End of split
% 247.47/43.10 | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | End of split
% 247.47/43.10 | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | End of split
% 247.47/43.10 | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | End of split
% 247.47/43.10 | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | End of split
% 247.47/43.10 | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | End of split
% 247.47/43.10 | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | End of split
% 247.47/43.10 | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | Case 2:
% 247.47/43.10 | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | (11387) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 247.47/43.10 | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | REF_CLOSE: (279), (374), (10867), (11318), (11387) are
% 247.47/43.10 | | | | | | | | | | inconsistent by sub-proof #1850.
% 247.47/43.10 | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | End of split
% 247.47/43.10 | | | | | | | | |
% 247.47/43.10 | | | | | | | | Case 2:
% 247.47/43.10 | | | | | | | | |
% 247.47/43.10 | | | | | | | | | (11388) all_26_2 = e1
% 247.47/43.10 | | | | | | | | |
% 247.47/43.10 | | | | | | | | | COMBINE_EQS: (307), (11388) imply:
% 247.47/43.10 | | | | | | | | | (11389) all_6_2 = e1
% 247.47/43.10 | | | | | | | | |
% 247.47/43.10 | | | | | | | | | SIMP: (11389) implies:
% 247.47/43.10 | | | | | | | | | (11390) all_6_2 = e1
% 247.47/43.10 | | | | | | | | |
% 247.47/43.10 | | | | | | | | | REDUCE: (344), (11390) imply:
% 247.47/43.10 | | | | | | | | | (11391) ~ (all_52_4 = e1)
% 247.47/43.10 | | | | | | | | |
% 247.47/43.10 | | | | | | | | | REDUCE: (346), (11390) imply:
% 247.47/43.10 | | | | | | | | | (11392) ~ (all_52_8 = e1)
% 247.47/43.10 | | | | | | | | |
% 247.47/43.10 | | | | | | | | | REDUCE: (348), (11390) imply:
% 247.47/43.10 | | | | | | | | | (11393) ~ (all_52_12 = e1)
% 247.47/43.10 | | | | | | | | |
% 247.47/43.10 | | | | | | | | | REDUCE: (10867), (11390) imply:
% 247.47/43.10 | | | | | | | | | (11394) ~ (e2 = e1)
% 247.47/43.10 | | | | | | | | |
% 247.47/43.10 | | | | | | | | | REDUCE: (39), (11390) imply:
% 247.47/43.10 | | | | | | | | | (11395) op(e3, e3) = e1
% 247.47/43.10 | | | | | | | | |
% 247.47/43.10 | | | | | | | | | BETA: splitting (210) gives:
% 247.47/43.10 | | | | | | | | |
% 247.47/43.10 | | | | | | | | | Case 1:
% 247.47/43.10 | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | (11396) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 247.47/43.10 | | | | | | | | | | e1 & op(e2, e0) = e1)
% 247.47/43.10 | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | REF_CLOSE: (164), (168), (11314), (11393), (11396),
% 247.47/43.10 | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.47/43.10 | | | | | | | | | | #1298.
% 247.47/43.10 | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | Case 2:
% 247.47/43.10 | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | (11397) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 247.47/43.10 | | | | | | | | | | e1 & op(e0, e0) = e1)
% 247.47/43.10 | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | BETA: splitting (11397) gives:
% 247.47/43.10 | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | Case 1:
% 247.47/43.10 | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | (11398) all_56_11 = e1 & op(e1, e0) = e1
% 247.47/43.10 | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | ALPHA: (11398) implies:
% 247.47/43.10 | | | | | | | | | | | (11399) op(e1, e0) = e1
% 247.47/43.10 | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | BETA: splitting (218) gives:
% 247.47/43.10 | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | Case 1:
% 247.47/43.10 | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | (11400) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 247.47/43.10 | | | | | | | | | | | | & op(e2, e1) = e1)
% 247.47/43.10 | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | REF_CLOSE: (165), (169), (11313), (11392), (11400),
% 247.47/43.10 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.47/43.10 | | | | | | | | | | | | #932.
% 247.47/43.10 | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | Case 2:
% 247.47/43.10 | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | (11401) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 247.47/43.10 | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 247.47/43.10 | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | BETA: splitting (11401) gives:
% 247.47/43.10 | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | Case 1:
% 247.47/43.10 | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | (11402) all_56_8 = e1 & op(e1, e1) = e1
% 247.47/43.10 | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | ALPHA: (11402) implies:
% 247.47/43.10 | | | | | | | | | | | | | (11403) op(e1, e1) = e1
% 247.47/43.10 | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | REF_CLOSE: (6), (10865), (11403), (function-axioms) are
% 247.47/43.10 | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 247.47/43.10 | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | Case 2:
% 247.47/43.10 | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | (11404) all_56_14 = e1 & op(e0, e1) = e1
% 247.47/43.10 | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | ALPHA: (11404) implies:
% 247.47/43.10 | | | | | | | | | | | | | (11405) all_56_14 = e1
% 247.47/43.10 | | | | | | | | | | | | | (11406) op(e0, e1) = e1
% 247.47/43.10 | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 247.47/43.10 | | | | | | | | | | | | | e1, e1, e0, simplifying with (157), (11406) gives:
% 247.47/43.10 | | | | | | | | | | | | | (11407) all_52_11 = e1
% 247.47/43.10 | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 247.47/43.10 | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (11399) gives:
% 247.47/43.10 | | | | | | | | | | | | | (11408) all_52_14 = e1
% 247.47/43.10 | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | REDUCE: (125), (11407) imply:
% 247.47/43.10 | | | | | | | | | | | | | (11409) ~ (all_52_7 = e1)
% 247.47/43.10 | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | REDUCE: (372), (11408) imply:
% 247.47/43.10 | | | | | | | | | | | | | (11410) ~ (all_14_2 = e1)
% 247.47/43.10 | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | BETA: splitting (239) gives:
% 247.47/43.10 | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | Case 1:
% 247.47/43.10 | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | (11411) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 247.47/43.10 | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 247.47/43.10 | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 247.47/43.10 | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 247.47/43.10 | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 247.47/43.10 | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 247.47/43.10 | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 247.47/43.10 | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 247.47/43.10 | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 247.47/43.10 | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 247.47/43.10 | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 247.47/43.10 | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 247.47/43.10 | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 247.47/43.10 | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 247.47/43.10 | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 247.47/43.10 | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 247.47/43.10 | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 247.47/43.10 | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 247.47/43.10 | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 247.47/43.10 | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 247.47/43.10 | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 247.47/43.10 | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 247.47/43.10 | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 247.47/43.10 | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 247.47/43.10 | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 247.47/43.10 | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 247.47/43.10 | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 247.47/43.10 | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 247.47/43.10 | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 247.47/43.10 | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | BETA: splitting (11411) gives:
% 247.47/43.10 | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | Case 1:
% 247.47/43.10 | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | (11412) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 247.47/43.10 | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 247.47/43.10 | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 247.47/43.10 | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 247.47/43.10 | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 247.47/43.10 | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 247.47/43.10 | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 247.47/43.10 | | | | | | | | | | | | | | | ((all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 247.47/43.10 | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 247.47/43.10 | | | | | | | | | | | | | | | $i(all_57_16))) & ((all_57_30 = e3 & op(e1,
% 247.47/43.10 | | | | | | | | | | | | | | | e1) = e3) | ( ~ (all_57_17 = e1) & op(e1,
% 247.47/43.10 | | | | | | | | | | | | | | | e3) = all_57_17 & $i(all_57_17))) &
% 247.47/43.10 | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 247.47/43.10 | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 247.47/43.10 | | | | | | | | | | | | | | | $i(all_57_18)))
% 247.47/43.10 | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | ALPHA: (11412) implies:
% 247.47/43.10 | | | | | | | | | | | | | | | (11413) op(e3, e0) = all_57_25
% 247.47/43.10 | | | | | | | | | | | | | | | (11414) op(e3, e1) = all_57_22
% 247.47/43.10 | | | | | | | | | | | | | | | (11415) op(e3, e2) = all_57_19
% 247.47/43.10 | | | | | | | | | | | | | | | (11416) op(e3, e3) = all_57_26
% 247.47/43.10 | | | | | | | | | | | | | | | (11417) op(e3, all_57_26) = e3
% 247.47/43.10 | | | | | | | | | | | | | | | (11418) (all_57_30 = e3 & op(e1, e1) = e3) | ( ~
% 247.47/43.10 | | | | | | | | | | | | | | | (all_57_17 = e1) & op(e1, e3) = all_57_17 &
% 247.47/43.10 | | | | | | | | | | | | | | | $i(all_57_17))
% 247.47/43.10 | | | | | | | | | | | | | | | (11419) (all_57_28 = e3 & op(e2, e2) = e3) | ( ~
% 247.47/43.10 | | | | | | | | | | | | | | | (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 247.47/43.10 | | | | | | | | | | | | | | | $i(all_57_16))
% 247.47/43.10 | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | BETA: splitting (11418) gives:
% 247.47/43.10 | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | Case 1:
% 247.47/43.10 | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | (11420) all_57_30 = e3 & op(e1, e1) = e3
% 247.47/43.10 | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | ALPHA: (11420) implies:
% 247.47/43.10 | | | | | | | | | | | | | | | | (11421) op(e1, e1) = e3
% 247.47/43.10 | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10865), (11421), (function-axioms) are
% 247.47/43.10 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 247.47/43.10 | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | Case 2:
% 247.47/43.10 | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | (11422) ~ (all_57_17 = e1) & op(e1, e3) = all_57_17 &
% 247.47/43.10 | | | | | | | | | | | | | | | | $i(all_57_17)
% 247.47/43.10 | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | ALPHA: (11422) implies:
% 247.47/43.10 | | | | | | | | | | | | | | | | (11423) op(e1, e3) = all_57_17
% 247.47/43.10 | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | BETA: splitting (11419) gives:
% 247.47/43.10 | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.10 | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | (11424) all_57_28 = e3 & op(e2, e2) = e3
% 247.47/43.10 | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | ALPHA: (11424) implies:
% 247.47/43.10 | | | | | | | | | | | | | | | | | (11425) op(e2, e2) = e3
% 247.47/43.10 | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11316), (11425), (function-axioms) are
% 247.47/43.10 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 247.47/43.10 | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.10 | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | (11426) ~ (all_57_16 = e2) & op(e2, e3) = all_57_16 &
% 247.47/43.10 | | | | | | | | | | | | | | | | | $i(all_57_16)
% 247.47/43.10 | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | ALPHA: (11426) implies:
% 247.47/43.10 | | | | | | | | | | | | | | | | | (11427) ~ (all_57_16 = e2)
% 247.47/43.10 | | | | | | | | | | | | | | | | | (11428) op(e2, e3) = all_57_16
% 247.47/43.10 | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 247.47/43.10 | | | | | | | | | | | | | | | | | all_57_17, e3, e1, simplifying with (163), (11423)
% 247.47/43.10 | | | | | | | | | | | | | | | | | gives:
% 247.47/43.10 | | | | | | | | | | | | | | | | | (11429) all_57_17 = all_52_2
% 247.47/43.10 | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 247.47/43.10 | | | | | | | | | | | | | | | | | all_57_16, e3, e2, simplifying with (167), (11428)
% 247.47/43.10 | | | | | | | | | | | | | | | | | gives:
% 247.47/43.10 | | | | | | | | | | | | | | | | | (11430) all_57_16 = all_52_1
% 247.47/43.10 | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 247.47/43.10 | | | | | | | | | | | | | | | | | all_57_25, e0, e3, simplifying with (168), (11413)
% 247.47/43.10 | | | | | | | | | | | | | | | | | gives:
% 247.47/43.10 | | | | | | | | | | | | | | | | | (11431) all_57_25 = all_52_12
% 247.47/43.10 | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 247.47/43.10 | | | | | | | | | | | | | | | | | all_57_22, e1, e3, simplifying with (169), (11414)
% 247.47/43.10 | | | | | | | | | | | | | | | | | gives:
% 247.47/43.10 | | | | | | | | | | | | | | | | | (11432) all_57_22 = all_52_8
% 247.47/43.10 | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 247.47/43.10 | | | | | | | | | | | | | | | | | all_57_19, e2, e3, simplifying with (170), (11415)
% 247.47/43.10 | | | | | | | | | | | | | | | | | gives:
% 247.47/43.10 | | | | | | | | | | | | | | | | | (11433) all_57_19 = all_52_4
% 247.47/43.10 | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 247.47/43.10 | | | | | | | | | | | | | | | | | all_57_26, e3, e3, simplifying with (11395),
% 247.47/43.10 | | | | | | | | | | | | | | | | | (11416) gives:
% 247.47/43.10 | | | | | | | | | | | | | | | | | (11434) all_57_26 = e1
% 247.47/43.10 | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | REDUCE: (11427), (11430) imply:
% 247.47/43.10 | | | | | | | | | | | | | | | | | (11435) ~ (all_52_1 = e2)
% 247.47/43.10 | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | REDUCE: (11417), (11434) imply:
% 247.47/43.10 | | | | | | | | | | | | | | | | | (11436) op(e3, e1) = e3
% 247.47/43.10 | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 247.47/43.10 | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.10 | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | (11437) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 247.47/43.10 | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 247.47/43.10 | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (11395), (11435), (11437),
% 247.47/43.10 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.47/43.10 | | | | | | | | | | | | | | | | | | #1686.
% 247.47/43.10 | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.10 | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | (11438) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 247.47/43.10 | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 247.47/43.10 | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | BETA: splitting (11438) gives:
% 247.47/43.10 | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | (11439) all_56_6 = e2 & op(e1, e3) = e2
% 247.47/43.10 | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | ALPHA: (11439) implies:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | (11440) op(e1, e3) = e2
% 247.47/43.10 | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10859), (11440), (function-axioms) are
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #806.
% 247.47/43.10 | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | (11441) all_56_12 = e2 & op(e0, e3) = e2
% 247.47/43.10 | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | ALPHA: (11441) implies:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | (11442) all_56_12 = e2
% 247.47/43.10 | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | (11443) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (158), (162), (167), (170), (226), (11312),
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | (11391), (11409), (11435), (11443),
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | #419.
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | (11444) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11444) gives:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | (11445) all_56_5 = e2 & op(e2, e1) = e2
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11445) implies:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | (11446) op(e2, e1) = e2
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10862), (11446), (function-axioms) are
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1838.
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | (11447) all_56_10 = e2 & op(e2, e0) = e2
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11447) implies:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | (11448) all_56_10 = e2
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | (11449) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11449) gives:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | (11450) all_56_9 = e3 & op(e3, e0) = e3
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11450) implies:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | (11451) all_56_9 = e3
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | (11452) op(e3, e0) = e3
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | (11453) all_56_15 = e0 & op(e0, e0) = e0
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11453) implies:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | (11454) op(e0, e0) = e0
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | (11455) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11455) gives:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (11456) all_56_0 = e2 & op(e3, e3) = e2
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11456) implies:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (11457) op(e3, e3) = e2
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11395), (11457), (function-axioms) are
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (11458) all_56_1 = e2 & op(e3, e2) = e2
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11458) implies:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (11459) all_56_1 = e2
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11460) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11460) gives:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.47/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11461) all_56_0 = e0 & op(e3, e3) = e0
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11461) implies:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11462) op(e3, e3) = e0
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11395), (11462), (function-axioms) are
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1832.
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11463) all_56_1 = e0 & op(e3, e2) = e0
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11463) implies:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11464) all_56_1 = e0
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11459), (11464) imply:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11465) e2 = e0
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11465) implies:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11466) e2 = e0
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11448), (11466) imply:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11467) all_56_10 = e0
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11468) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11468) gives:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11469) all_56_9 = e2 & op(e3, e0) = e2
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11451), (11469) are inconsistent by
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1730.
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11447), (11467) are inconsistent by
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1005.
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11470) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11470) gives:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11471) all_56_11 = e2 & op(e1, e0) = e2
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11471) implies:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11472) op(e1, e0) = e2
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (51), (168), (210), (10868), (11393),
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11467), (11472), (function-axioms) are
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1659.
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11473) all_56_15 = e2 & op(e0, e0) = e2
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11473) implies:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11474) op(e0, e0) = e2
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11454), (11474), (function-axioms) are
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1842.
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11475) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11475) gives:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11476) all_56_4 = e0 & op(e3, e1) = e0
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11476) implies:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11477) op(e3, e1) = e0
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11414), (11436), (11477), (function-axioms)
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1793.
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11478) all_56_9 = e0 & op(e3, e0) = e0
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11478) implies:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11479) op(e3, e0) = e0
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11452), (11479), (function-axioms) are
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #531.
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | (11480) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11480) gives:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (11481) all_56_4 = e2 & op(e3, e1) = e2
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11481) implies:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (11482) op(e3, e1) = e2
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (169), (11436), (11482), (function-axioms)
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1722.
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (11483) all_56_9 = e2 & op(e3, e0) = e2
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11483) implies:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (11484) all_56_9 = e2
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11451), (11484) are inconsistent by
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1809.
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | (11485) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11485) implies:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | (11486) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (51), (209), (10870),
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | (11405), (11406), (11442), (11486),
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | | #418.
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | (11487) all_56_10 = e3 & op(e2, e0) = e3
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11487) implies:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | (11488) all_56_10 = e3
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11448), (11488) imply:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | (11489) e3 = e2
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (11489) imply:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | (11490) $false
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11490) is inconsistent.
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | (11491) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11491) gives:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | (11492) all_56_11 = e3 & op(e1, e0) = e3
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (164), (168), (210), (10868), (11314),
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | (11393), (11492), (function-axioms) are
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #417.
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | (11493) all_56_15 = e3 & op(e0, e0) = e3
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11493) implies:
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | (11494) op(e0, e0) = e3
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (10870), (11494), (function-axioms) are
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1874.
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.10 | | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.10 | | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | | End of split
% 247.59/43.10 | | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | | End of split
% 247.59/43.10 | | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | End of split
% 247.59/43.10 | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | Case 2:
% 247.59/43.10 | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | (11495) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 247.59/43.10 | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 247.59/43.10 | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 247.59/43.10 | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 247.59/43.10 | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 247.59/43.10 | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 247.59/43.10 | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 247.59/43.10 | | | | | | | | | | | | | | | ((all_57_26 = e2 & op(e3, e3) = e2) | ( ~
% 247.59/43.10 | | | | | | | | | | | | | | | (all_57_19 = e3) & op(e3, e2) = all_57_19 &
% 247.59/43.10 | | | | | | | | | | | | | | | $i(all_57_19))) & ((all_57_30 = e2 & op(e1,
% 247.59/43.10 | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_20 = e1) & op(e1,
% 247.59/43.10 | | | | | | | | | | | | | | | e2) = all_57_20 & $i(all_57_20))) &
% 247.59/43.10 | | | | | | | | | | | | | | | ((all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 247.59/43.10 | | | | | | | | | | | | | | | (all_57_21 = e0) & op(e0, e2) = all_57_21 &
% 247.59/43.10 | | | | | | | | | | | | | | | $i(all_57_21)))
% 247.59/43.10 | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | ALPHA: (11495) implies:
% 247.59/43.10 | | | | | | | | | | | | | | | (11496) op(e2, e1) = all_57_23
% 247.59/43.10 | | | | | | | | | | | | | | | (11497) op(e2, e2) = all_57_28
% 247.59/43.10 | | | | | | | | | | | | | | | (11498) op(e2, all_57_28) = e2
% 247.59/43.10 | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 247.59/43.10 | | | | | | | | | | | | | | | all_57_23, e1, e2, simplifying with (165), (11496)
% 247.59/43.10 | | | | | | | | | | | | | | | gives:
% 247.59/43.10 | | | | | | | | | | | | | | | (11499) all_57_23 = all_52_9
% 247.59/43.10 | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | REF_CLOSE: (10862), (11316), (11496), (11497), (11498),
% 247.59/43.10 | | | | | | | | | | | | | | | (11499), (function-axioms) are inconsistent by
% 247.59/43.10 | | | | | | | | | | | | | | | sub-proof #416.
% 247.59/43.10 | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | End of split
% 247.59/43.10 | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | Case 2:
% 247.59/43.10 | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | (11500) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 247.59/43.10 | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 247.59/43.10 | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 247.59/43.10 | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 247.59/43.10 | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 247.59/43.10 | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 247.59/43.10 | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 247.59/43.10 | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 247.59/43.10 | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 247.59/43.10 | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 247.59/43.10 | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 247.59/43.10 | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 247.59/43.10 | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 247.59/43.10 | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 247.59/43.10 | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 247.59/43.10 | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 247.59/43.10 | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 247.59/43.10 | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 247.59/43.10 | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 247.59/43.10 | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 247.59/43.10 | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 247.59/43.10 | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 247.59/43.10 | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 247.59/43.10 | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 247.59/43.10 | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 247.59/43.10 | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 247.59/43.10 | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 247.59/43.10 | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 247.59/43.10 | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 247.59/43.10 | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | BETA: splitting (11500) gives:
% 247.59/43.10 | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | Case 1:
% 247.59/43.10 | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | (11501) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 247.59/43.10 | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 247.59/43.10 | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 247.59/43.10 | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 247.59/43.10 | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 247.59/43.10 | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 247.59/43.10 | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 247.59/43.10 | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 247.59/43.10 | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 247.59/43.10 | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 247.59/43.10 | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 247.59/43.10 | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 247.59/43.10 | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 247.59/43.10 | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 247.59/43.10 | | | | | | | | | | | | | | | $i(all_57_24)))
% 247.59/43.10 | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | ALPHA: (11501) implies:
% 247.59/43.10 | | | | | | | | | | | | | | | (11502) op(e1, e1) = all_57_30
% 247.59/43.10 | | | | | | | | | | | | | | | (11503) op(e1, e2) = all_57_20
% 247.59/43.10 | | | | | | | | | | | | | | | (11504) op(e1, all_57_30) = e1
% 247.59/43.10 | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 247.59/43.10 | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (10865),
% 247.59/43.10 | | | | | | | | | | | | | | | (11502) gives:
% 247.59/43.10 | | | | | | | | | | | | | | | (11505) all_57_30 = e2
% 247.59/43.10 | | | | | | | | | | | | | | |
% 247.59/43.10 | | | | | | | | | | | | | | | REF_CLOSE: (162), (11312), (11503), (11504), (11505),
% 247.59/43.10 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.59/43.10 | | | | | | | | | | | | | | | #415.
% 247.59/43.10 | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | Case 2:
% 247.59/43.11 | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | (11506) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 247.59/43.11 | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 247.59/43.11 | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 247.59/43.11 | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 247.59/43.11 | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 247.59/43.11 | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 247.59/43.11 | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 247.59/43.11 | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 247.59/43.11 | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 247.59/43.11 | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 247.59/43.11 | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 247.59/43.11 | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 247.59/43.11 | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 247.59/43.11 | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 247.59/43.11 | | | | | | | | | | | | | | | $i(all_57_29)))
% 247.59/43.11 | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | ALPHA: (11506) implies:
% 247.59/43.11 | | | | | | | | | | | | | | | (11507) (all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 247.59/43.11 | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 247.59/43.11 | | | | | | | | | | | | | | | $i(all_57_29))
% 247.59/43.11 | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | REF_CLOSE: (5), (10865), (11399), (11507), (function-axioms)
% 247.59/43.11 | | | | | | | | | | | | | | | are inconsistent by sub-proof #414.
% 247.59/43.11 | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | End of split
% 247.59/43.11 | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | End of split
% 247.59/43.11 | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | End of split
% 247.59/43.11 | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | End of split
% 247.59/43.11 | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | Case 2:
% 247.59/43.11 | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | (11508) all_56_15 = e1 & op(e0, e0) = e1
% 247.59/43.11 | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | ALPHA: (11508) implies:
% 247.59/43.11 | | | | | | | | | | | (11509) op(e0, e0) = e1
% 247.59/43.11 | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | REF_CLOSE: (51), (10868), (11509), (function-axioms) are
% 247.59/43.11 | | | | | | | | | | | inconsistent by sub-proof #1865.
% 247.59/43.11 | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | End of split
% 247.59/43.11 | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | End of split
% 247.59/43.11 | | | | | | | | |
% 247.59/43.11 | | | | | | | | End of split
% 247.59/43.11 | | | | | | | |
% 247.59/43.11 | | | | | | | End of split
% 247.59/43.11 | | | | | | |
% 247.59/43.11 | | | | | | Case 2:
% 247.59/43.11 | | | | | | |
% 247.59/43.11 | | | | | | | (11510) all_18_2 = e3
% 247.59/43.11 | | | | | | | (11511) ( ~ (all_18_0 = e2) & op(all_18_1, all_18_1) = all_18_0
% 247.59/43.11 | | | | | | | & op(e3, e0) = all_18_1 & $i(all_18_0) &
% 247.59/43.11 | | | | | | | $i(all_18_1)) | ( ~ (all_18_1 = e1) & op(e3, e0) =
% 247.59/43.11 | | | | | | | all_18_1 & $i(all_18_1))
% 247.59/43.11 | | | | | | |
% 247.59/43.11 | | | | | | | COMBINE_EQS: (301), (11510) imply:
% 247.59/43.11 | | | | | | | (11512) all_14_2 = e3
% 247.59/43.11 | | | | | | |
% 247.59/43.11 | | | | | | | SIMP: (11512) implies:
% 247.59/43.11 | | | | | | | (11513) all_14_2 = e3
% 247.59/43.11 | | | | | | |
% 247.59/43.11 | | | | | | | COMBINE_EQS: (299), (11513) imply:
% 247.59/43.11 | | | | | | | (11514) all_48_2 = e3
% 247.59/43.11 | | | | | | |
% 247.59/43.11 | | | | | | | REDUCE: (351), (11513) imply:
% 247.59/43.11 | | | | | | | (11515) ~ (all_52_3 = e3)
% 247.59/43.11 | | | | | | |
% 247.59/43.11 | | | | | | | REDUCE: (362), (11513) imply:
% 247.59/43.11 | | | | | | | (11516) ~ (all_52_7 = e3)
% 247.59/43.11 | | | | | | |
% 247.59/43.11 | | | | | | | REDUCE: (369), (11513) imply:
% 247.59/43.11 | | | | | | | (11517) ~ (all_52_11 = e3)
% 247.59/43.11 | | | | | | |
% 247.59/43.11 | | | | | | | REDUCE: (370), (11513) imply:
% 247.59/43.11 | | | | | | | (11518) ~ (all_52_12 = e3)
% 247.59/43.11 | | | | | | |
% 247.59/43.11 | | | | | | | REDUCE: (371), (11513) imply:
% 247.59/43.11 | | | | | | | (11519) ~ (all_52_13 = e3)
% 247.59/43.11 | | | | | | |
% 247.59/43.11 | | | | | | | REDUCE: (372), (11513) imply:
% 247.59/43.11 | | | | | | | (11520) ~ (all_52_14 = e3)
% 247.59/43.11 | | | | | | |
% 247.59/43.11 | | | | | | | BETA: splitting (212) gives:
% 247.59/43.11 | | | | | | |
% 247.59/43.11 | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | |
% 247.59/43.11 | | | | | | | | (11521) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 &
% 247.59/43.11 | | | | | | | | op(e2, e0) = e3)
% 247.59/43.11 | | | | | | | |
% 247.59/43.11 | | | | | | | | REF_CLOSE: (164), (168), (11518), (11519), (11521),
% 247.59/43.11 | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.59/43.11 | | | | | | | | #1085.
% 247.59/43.11 | | | | | | | |
% 247.59/43.11 | | | | | | | Case 2:
% 247.59/43.11 | | | | | | | |
% 247.59/43.11 | | | | | | | | (11522) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3
% 247.59/43.11 | | | | | | | | & op(e0, e0) = e3)
% 247.59/43.11 | | | | | | | |
% 247.59/43.11 | | | | | | | | BETA: splitting (11522) gives:
% 247.59/43.11 | | | | | | | |
% 247.59/43.11 | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | |
% 247.59/43.11 | | | | | | | | | (11523) all_56_11 = e3 & op(e1, e0) = e3
% 247.59/43.11 | | | | | | | | |
% 247.59/43.11 | | | | | | | | | ALPHA: (11523) implies:
% 247.59/43.11 | | | | | | | | | (11524) op(e1, e0) = e3
% 247.59/43.11 | | | | | | | | |
% 247.59/43.11 | | | | | | | | | REF_CLOSE: (160), (11520), (11524), (function-axioms) are
% 247.59/43.11 | | | | | | | | | inconsistent by sub-proof #1084.
% 247.59/43.11 | | | | | | | | |
% 247.59/43.11 | | | | | | | | Case 2:
% 247.59/43.11 | | | | | | | | |
% 247.59/43.11 | | | | | | | | | (11525) all_56_15 = e3 & op(e0, e0) = e3
% 247.59/43.11 | | | | | | | | |
% 247.59/43.11 | | | | | | | | | ALPHA: (11525) implies:
% 247.59/43.11 | | | | | | | | | (11526) all_56_15 = e3
% 247.59/43.11 | | | | | | | | | (11527) op(e0, e0) = e3
% 247.59/43.11 | | | | | | | | |
% 247.59/43.11 | | | | | | | | | BETA: splitting (67) gives:
% 247.59/43.11 | | | | | | | | |
% 247.59/43.11 | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | (11528) ~ (all_24_2 = e1)
% 247.59/43.11 | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | REDUCE: (318), (11528) imply:
% 247.59/43.11 | | | | | | | | | | (11529) ~ (all_4_2 = e1)
% 247.59/43.11 | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | BETA: splitting (70) gives:
% 247.59/43.11 | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | (11530) ~ (all_26_2 = e1)
% 247.59/43.11 | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | REDUCE: (307), (11530) imply:
% 247.59/43.11 | | | | | | | | | | | (11531) ~ (all_6_2 = e1)
% 247.59/43.11 | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | BETA: splitting (204) gives:
% 247.59/43.11 | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | (11532) all_54_0 = e3
% 247.59/43.11 | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | COMBINE_EQS: (279), (11532) imply:
% 247.59/43.11 | | | | | | | | | | | | (11533) all_6_2 = e3
% 247.59/43.11 | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | SIMP: (11533) implies:
% 247.59/43.11 | | | | | | | | | | | | (11534) all_6_2 = e3
% 247.59/43.11 | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | REDUCE: (340), (11534) imply:
% 247.59/43.11 | | | | | | | | | | | | (11535) ~ (all_52_2 = e3)
% 247.59/43.11 | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | REDUCE: (39), (11534) imply:
% 247.59/43.11 | | | | | | | | | | | | (11536) op(e3, e3) = e3
% 247.59/43.11 | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (79), (82),
% 247.59/43.11 | | | | | | | | | | | | (103), (112), (113), (117), (118), (120), (121),
% 247.59/43.11 | | | | | | | | | | | | (123), (126), (136), (139), (144), (146), (148),
% 247.59/43.11 | | | | | | | | | | | | (149), (157), (158), (159), (160), (162), (163),
% 247.59/43.11 | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (199),
% 247.59/43.11 | | | | | | | | | | | | (200), (206), (207), (208), (211), (213), (214),
% 247.59/43.11 | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (222),
% 247.59/43.11 | | | | | | | | | | | | (223), (224), (225), (227), (228), (229), (230),
% 247.59/43.11 | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (238),
% 247.59/43.11 | | | | | | | | | | | | (239), (268), (269), (314), (352), (356), (358),
% 247.59/43.11 | | | | | | | | | | | | (360), (373), (10857), (10858), (10859), (10860),
% 247.59/43.11 | | | | | | | | | | | | (10861), (10862), (10863), (10864), (10865),
% 247.59/43.11 | | | | | | | | | | | | (11511), (11514), (11518), (11519), (11520),
% 247.59/43.11 | | | | | | | | | | | | (11526), (11527), (11529), (11535), (11536),
% 247.59/43.11 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.59/43.11 | | | | | | | | | | | | #391.
% 247.59/43.11 | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | Case 2:
% 247.59/43.11 | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | (11537) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 247.59/43.11 | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | REF_CLOSE: (279), (374), (10867), (11531), (11537) are
% 247.59/43.11 | | | | | | | | | | | | inconsistent by sub-proof #1850.
% 247.59/43.11 | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | End of split
% 247.59/43.11 | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | Case 2:
% 247.59/43.11 | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | (11538) all_26_2 = e1
% 247.59/43.11 | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | COMBINE_EQS: (307), (11538) imply:
% 247.59/43.11 | | | | | | | | | | | (11539) all_6_2 = e1
% 247.59/43.11 | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | SIMP: (11539) implies:
% 247.59/43.11 | | | | | | | | | | | (11540) all_6_2 = e1
% 247.59/43.11 | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | REDUCE: (338), (11540) imply:
% 247.59/43.11 | | | | | | | | | | | (11541) ~ (all_52_1 = e1)
% 247.59/43.11 | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | REDUCE: (340), (11540) imply:
% 247.59/43.11 | | | | | | | | | | | (11542) ~ (all_52_2 = e1)
% 247.59/43.11 | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | REDUCE: (342), (11540) imply:
% 247.59/43.11 | | | | | | | | | | | (11543) ~ (all_52_3 = e1)
% 247.59/43.11 | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | REDUCE: (344), (11540) imply:
% 247.59/43.11 | | | | | | | | | | | (11544) ~ (all_52_4 = e1)
% 247.59/43.11 | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | REDUCE: (346), (11540) imply:
% 247.59/43.11 | | | | | | | | | | | (11545) ~ (all_52_8 = e1)
% 247.59/43.11 | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | REDUCE: (348), (11540) imply:
% 247.59/43.11 | | | | | | | | | | | (11546) ~ (all_52_12 = e1)
% 247.59/43.11 | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | REDUCE: (39), (11540) imply:
% 247.59/43.11 | | | | | | | | | | | (11547) op(e3, e3) = e1
% 247.59/43.11 | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | BETA: splitting (79) gives:
% 247.59/43.11 | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | (11548) ~ (all_32_2 = e0)
% 247.59/43.11 | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | REDUCE: (314), (11548) imply:
% 247.59/43.11 | | | | | | | | | | | | (11549) ~ (all_4_2 = e0)
% 247.59/43.11 | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | BETA: splitting (199) gives:
% 247.59/43.11 | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | (11550) all_54_5 = e3
% 247.59/43.11 | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | COMBINE_EQS: (268), (11550) imply:
% 247.59/43.11 | | | | | | | | | | | | | (11551) all_4_2 = e3
% 247.59/43.11 | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | REDUCE: (373), (11551) imply:
% 247.59/43.11 | | | | | | | | | | | | | (11552) $false
% 247.59/43.11 | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | CLOSE: (11552) is inconsistent.
% 247.59/43.11 | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | Case 2:
% 247.59/43.11 | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | (11553) ~ (all_54_5 = e3)
% 247.59/43.11 | | | | | | | | | | | | | (11554) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 247.59/43.11 | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | BETA: splitting (11554) gives:
% 247.59/43.11 | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | (11555) all_54_5 = e2
% 247.59/43.11 | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | COMBINE_EQS: (268), (11555) imply:
% 247.59/43.11 | | | | | | | | | | | | | | (11556) all_4_2 = e2
% 247.59/43.11 | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | REDUCE: (349), (11556) imply:
% 247.59/43.11 | | | | | | | | | | | | | | (11557) ~ (all_52_1 = e2)
% 247.59/43.11 | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | REDUCE: (352), (11556) imply:
% 247.59/43.11 | | | | | | | | | | | | | | (11558) ~ (all_52_4 = e2)
% 247.59/43.11 | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | REDUCE: (360), (11556) imply:
% 247.59/43.11 | | | | | | | | | | | | | | (11559) ~ (all_52_13 = e2)
% 247.59/43.11 | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | REDUCE: (373), (11556) imply:
% 247.59/43.11 | | | | | | | | | | | | | | (11560) ~ (e3 = e2)
% 247.59/43.11 | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 247.59/43.11 | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | (11561) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 247.59/43.11 | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 247.59/43.11 | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (268), (349), (11529), (11547),
% 247.59/43.11 | | | | | | | | | | | | | | | (11549), (11554), (11561), (function-axioms) are
% 247.59/43.11 | | | | | | | | | | | | | | | inconsistent by sub-proof #1480.
% 247.59/43.11 | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | Case 2:
% 247.59/43.11 | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | (11562) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 247.59/43.11 | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 247.59/43.11 | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | BETA: splitting (11562) gives:
% 247.59/43.11 | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | (11563) all_56_6 = e2 & op(e1, e3) = e2
% 247.59/43.11 | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | ALPHA: (11563) implies:
% 247.59/43.11 | | | | | | | | | | | | | | | | (11564) op(e1, e3) = e2
% 247.59/43.11 | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10859), (11564), (function-axioms) are
% 247.59/43.11 | | | | | | | | | | | | | | | | inconsistent by sub-proof #806.
% 247.59/43.11 | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | Case 2:
% 247.59/43.11 | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | (11565) all_56_12 = e2 & op(e0, e3) = e2
% 247.59/43.11 | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | ALPHA: (11565) implies:
% 247.59/43.11 | | | | | | | | | | | | | | | | (11566) op(e0, e3) = e2
% 247.59/43.11 | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | (11567) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 247.59/43.11 | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 247.59/43.11 | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | BETA: splitting (11567) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | (11568) all_56_9 = e2 & op(e3, e0) = e2
% 247.59/43.11 | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | ALPHA: (11568) implies:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | (11569) all_56_9 = e2
% 247.59/43.11 | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | (11570) all_54_14 = e3
% 247.59/43.11 | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (11570) imply:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | (11571) all_52_11 = e3
% 247.59/43.11 | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | REDUCE: (11517), (11571) imply:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | (11572) $false
% 247.59/43.11 | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | CLOSE: (11572) is inconsistent.
% 247.59/43.11 | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | (11573) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 247.59/43.11 | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | (11574) all_54_1 = e3
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (11574) imply:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | (11575) all_52_4 = e3
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | SIMP: (11575) implies:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | (11576) all_52_4 = e3
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (11576) imply:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | (11577) ~ (all_52_8 = e3)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | SIMP: (11577) implies:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | (11578) ~ (all_52_8 = e3)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (11576) imply:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | (11579) op(e3, e2) = e3
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | (11580) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_28 = e3 & op(e2, e2) =
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_16 = e2) & op(e2, e3) =
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | all_57_16 & $i(all_57_16))) & ((all_57_30 =
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = e3) | ( ~ (all_57_17 = e1)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_17 & $i(all_57_17))) &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0) & op(e0, e3) = all_57_18 &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)))) | (all_57_4 = e3 & all_57_5
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_26 = e2
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2) | ( ~ (all_57_19 = e3) &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & $i(all_57_19))) &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e2 & op(e1, e1) = e2) | ( ~
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & op(e1, e2) = all_57_20 &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))) & ((all_57_31 = e2 & op(e0,
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_21 = e0) & op(e0,
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_21 & $i(all_57_21))))
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (169), (373), (11547), (11578),
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | (11579), (11580), (function-axioms) are
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1143.
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | (11581) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_26 = e1 & op(e3, e3) =
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_22 = e3) & op(e3, e1) =
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | all_57_22 & $i(all_57_22))) & ((all_57_28 =
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1) | ( ~ (all_57_23 = e2)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_23 & $i(all_57_23))) &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))) | (all_57_12 = e3 &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_26 = e0
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0) | ( ~ (all_57_25 = e3) &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_25))) &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | ((all_57_28 = e0 & op(e2, e2) = e0) | ( ~
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2) & op(e2, e0) = all_57_27 &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))) & ((all_57_30 = e0 & op(e1,
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_29 = e1) & op(e1,
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_29 & $i(all_57_29))))
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11581) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | (11582) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e1 & op(e3, e3) = e1) | ( ~
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & op(e3, e1) = all_57_22 &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))) & ((all_57_28 = e1 & op(e2,
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_23 = e2) & op(e2,
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_23))) &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | ((all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)))
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11582) implies:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | (11583) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0) & op(e0, e1) = all_57_24 &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24))
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | (11584) (all_57_28 = e1 & op(e2, e2) = e1) | ( ~
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & op(e2, e1) = all_57_23 &
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | (11585) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11585) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | (11586) all_56_0 = e3 & op(e3, e3) = e3
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11586) implies:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | (11587) op(e3, e3) = e3
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11547), (11587), (function-axioms) are
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1864.
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | (11588) all_56_1 = e3 & op(e3, e2) = e3
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11588) implies:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | (11589) all_56_1 = e3
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | (11590) all_54_2 = e3
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (11578), (11590) are inconsistent by
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1617.
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | (11591) ~ (all_54_2 = e3)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | (11592) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11592) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (11593) all_54_2 = e2
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (10861), (11593) are inconsistent by
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1596.
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (11594) ~ (all_54_2 = e2)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (11595) all_54_2 = e1 | all_54_2 = e0
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11595) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11596) all_54_2 = e1
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (11545), (11596) are inconsistent by
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1615.
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11597) all_54_2 = e0
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (11597) imply:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11598) all_52_8 = e0
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11598) implies:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11599) all_52_8 = e0
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (11599) imply:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11600) ~ (all_52_9 = e0)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11600) implies:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11601) ~ (all_52_9 = e0)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (11599) imply:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11602) ~ (all_52_11 = e0)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11602) implies:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11603) ~ (all_52_11 = e0)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11578), (11599) imply:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11604) ~ (e3 = e0)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10861), (11599) imply:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11605) ~ (e2 = e0)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11545), (11599) imply:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11606) ~ (e1 = e0)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11607) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11607) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11608) all_56_0 = e0 & op(e3, e3) = e0
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11608) implies:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11609) op(e3, e3) = e0
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11547), (11609), (function-axioms) are
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1832.
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11610) all_56_1 = e0 & op(e3, e2) = e0
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11589), (11610) are inconsistent by
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1724.
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11611) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11611) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11612) all_56_4 = e0 & op(e3, e1) = e0
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11612) implies:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11613) all_56_4 = e0
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11614) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11614) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11615) all_56_2 = e1 & op(e2, e3) = e1
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11615) implies:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11616) all_56_2 = e1
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11617) op(e2, e3) = e1
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (232), (233),
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (11569), (11589), (11613), (11616),
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11617), (function-axioms) are inconsistent by
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #559.
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11618) all_56_3 = e1 & op(e2, e2) = e1
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11618) implies:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11619) op(e2, e2) = e1
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (11529), (11619), (function-axioms) are
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1867.
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11620) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11620) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11621) all_56_5 = e1 & op(e2, e1) = e1
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11621) implies:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11622) op(e2, e1) = e1
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (165), (247), (10863), (11573), (11603),
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11622), (function-axioms) are inconsistent by
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1197.
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11623) all_56_10 = e1 & op(e2, e0) = e1
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11623) implies:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11624) op(e2, e0) = e1
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11573) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11625) all_54_14 = e2
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (11625) imply:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11626) all_52_11 = e2
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10863), (11626) imply:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11627) $false
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11627) is inconsistent.
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11628) all_54_14 = e1 | all_54_14 = e0
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11628) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11629) all_54_14 = e1
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (11629) imply:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11630) all_52_11 = e1
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11630) implies:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11631) all_52_11 = e1
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (11631) imply:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11632) ~ (all_52_7 = e1)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11633) all_54_6 = e3
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (11633) imply:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11634) all_52_9 = e3
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11634) implies:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11635) all_52_9 = e3
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (11635) imply:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11636) ~ (all_52_1 = e3)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (11635) imply:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11637) ~ (all_52_13 = e3)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11638) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (11529), (11544), (11638),
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1476.
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11639) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11639) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11640) all_56_7 = e1 & op(e1, e2) = e1
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11640) implies:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11641) op(e1, e2) = e1
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11642) all_54_4 = e3
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (11636), (11642) are inconsistent by
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1696.
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11643) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11643) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11644) all_54_4 = e2
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (11557), (11644) are inconsistent by
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1695.
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11645) all_54_4 = e1 | all_54_4 = e0
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11645) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11646) all_54_4 = e1
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (11541), (11646) are inconsistent by
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1694.
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11647) all_54_4 = e0
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (11647) imply:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11648) all_52_1 = e0
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11648) implies:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11649) all_52_1 = e0
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (11649) imply:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11650) ~ (all_52_13 = e0)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11650) implies:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11651) ~ (all_52_13 = e0)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11652) all_54_7 = e3
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (11519), (11652) are inconsistent by
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1420.
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11653) ~ (all_54_7 = e3)
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11654) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11654) gives:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11655) all_54_7 = e2
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (11559), (11655) are inconsistent by
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1419.
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11656) ~ (all_54_7 = e2)
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11657) all_54_7 = e1 | all_54_7 = e0
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11657) gives:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11658) all_54_7 = e1
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (11658) imply:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11659) all_52_13 = e1
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11659) implies:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11660) all_52_13 = e1
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (11660) imply:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11661) ~ (all_52_14 = e1)
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11661) implies:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11662) ~ (all_52_14 = e1)
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11519), (11660) imply:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11663) ~ (e3 = e1)
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11664) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11664) gives:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11665) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11665) gives:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11666) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (268), (349), (11529), (11549), (11554),
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11666), (function-axioms) are inconsistent by
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1843.
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11667) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (373), (11542), (11667),
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1068.
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11668) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11668) gives:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11669) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11527), (11641), (11669), (function-axioms)
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #915.
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11670) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (10865), (11529), (11670), (function-axioms)
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #462.
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11671) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11671) gives:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11672) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11672) gives:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11673) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11673) gives:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11674) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11674) implies:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11675) op(e0, e0) = e1
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11527), (11675), (function-axioms) are
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11676) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11676) implies:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11677) all_57_23 = e2
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11678) ~ (all_57_28 = e1)
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11584), (11677), (11678) are inconsistent by
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1717.
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11679) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (11518), (11527), (11679),
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1066.
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11680) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11680) gives:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11681) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11547), (11681), (function-axioms) are
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1831.
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11682) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11682) gives:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11683) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11683) implies:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11684) op(e2, e0) = e2
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (11559), (11684), (function-axioms) are
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1493.
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11685) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11685) gives:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11686) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11686) implies:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11687) op(e1, e0) = e1
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (11662), (11687), (function-axioms) are
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1856.
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11688) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11688) implies:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11689) op(e0, e0) = all_57_31
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11690) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11690) gives:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11691) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11527), (11579), (11689), (11691),
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #678.
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11692) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11692) gives:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11693) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11693) implies:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11694) ~ (all_57_20 = e1)
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11695) op(e1, e2) = all_57_20
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11641), (11694), (11695), (function-axioms) are
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1497.
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11696) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (11529), (11583), (11689), (11696),
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1710.
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11697) all_54_7 = e0
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (11651), (11697) are inconsistent by
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1373.
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11698) all_56_13 = e1 & op(e0, e2) = e1
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11698) implies:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11699) op(e0, e2) = e1
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (11632), (11699), (function-axioms) are
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1378.
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11700) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11700) gives:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11701) all_54_6 = e2
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (10862), (11701) are inconsistent by
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1432.
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11702) all_54_6 = e1 | all_54_6 = e0
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (261), (11601), (11624), (11702),
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1430.
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11703) all_54_14 = e0
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (11603), (11703) are inconsistent by
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1786.
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11704) all_56_9 = e0 & op(e3, e0) = e0
% 247.59/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11569), (11704) are inconsistent by
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1811.
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | (11705) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (11518), (11578), (11705),
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | #1058.
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | (11706) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | ((all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))) & ((all_57_28 = e0 & op(e2,
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_27 = e2) & op(e2,
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_27 & $i(all_57_27))) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | ((all_57_30 = e0 & op(e1, e1) = e0) | ( ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e1, e0) = all_57_29 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11706) implies:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | (11707) op(e0, e2) = all_57_21
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | (11708) op(e0, e3) = all_57_18
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | (11709) op(e0, all_57_18) = e3
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | (11710) (all_57_26 = e0 & op(e3, e3) = e0) | ( ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3) & op(e3, e0) = all_57_25 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (135), (158), (170), (11547), (11566),
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | (11579), (11707), (11708), (11709), (11710),
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | #452.
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | (11711) ~ (all_54_1 = e3)
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | (11712) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | REDUCE: (272), (11711) imply:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | (11713) ~ (all_52_4 = e3)
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11712) gives:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | (11714) all_54_1 = e2
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (11558), (11714) are inconsistent by
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | sub-proof #1152.
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | (11715) all_54_1 = e1 | all_54_1 = e0
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11715) gives:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | (11716) all_54_1 = e1
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (11544), (11716) are inconsistent by
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1592.
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | (11717) all_54_1 = e0
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (11717) imply:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | (11718) all_52_4 = e0
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | SIMP: (11718) implies:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | (11719) all_52_4 = e0
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (11719) imply:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | (11720) ~ (all_52_7 = e0)
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | SIMP: (11720) implies:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | (11721) ~ (all_52_7 = e0)
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (11719) imply:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | (11722) ~ (all_52_8 = e0)
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | SIMP: (11722) implies:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | (11723) ~ (all_52_8 = e0)
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11544), (11719) imply:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | (11724) ~ (e1 = e0)
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (11719) imply:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | (11725) op(e3, e2) = e0
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | (11726) all_54_2 = e3
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (11726) imply:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | (11727) all_52_8 = e3
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (11727) imply:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | (11728) op(e3, e1) = e3
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | (11729) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11729) gives:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | (11730) all_56_1 = e0 & op(e3, e2) = e0
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11730) implies:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | (11731) all_56_1 = e0
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (11732) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11732) gives:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11733) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11733) gives:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11734) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (268), (349), (11529), (11549), (11554),
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11734), (function-axioms) are inconsistent by
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1843.
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11735) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (373), (11542), (11735),
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1068.
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11736) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (170), (10865), (11527), (11529),
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11713), (11736), (function-axioms) are
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #409.
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (11737) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11737) gives:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11738) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11738) gives:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11739) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (169), (11527), (11728), (11739),
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1045.
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11740) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (11518), (11527), (11740),
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1066.
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11741) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11741) gives:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11742) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11547), (11742), (function-axioms) are
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1831.
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11743) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11743) gives:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11744) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11744) implies:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11745) op(e2, e0) = e2
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (11559), (11745), (function-axioms) are
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1493.
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.59/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11746) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11746) gives:
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11747) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11747) implies:
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11748) op(e2, e2) = e0
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (352), (11725), (11748),
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1507.
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11749) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11749) implies:
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11750) op(e0, e0) = all_57_31
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11751) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11751) gives:
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11752) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11752) gives:
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11753) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11753) implies:
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11754) ~ (all_57_31 = e3)
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11527), (11750), (11754), (function-axioms) are
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #683.
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11755) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11755) gives:
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11756) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11756) implies:
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11757) ~ (all_57_31 = e3)
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11527), (11750), (11757), (function-axioms) are
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #683.
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11758) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11758) implies:
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11759) op(e3, e3) = e2
% 247.70/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (11569), (11728), (11731),
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11759), (function-axioms) are inconsistent by
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #752.
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11760) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11760) gives:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11761) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11761) implies:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11762) op(e0, e2) = e0
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (11721), (11762), (function-axioms) are
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #802.
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11763) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11763) gives:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11764) all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11764) implies:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11765) ~ (all_57_22 = e3)
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11766) op(e3, e1) = all_57_22
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (11728), (11765), (11766),
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1059.
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11767) all_57_24 = e0 & all_57_28 = e1 & ~ (all_57_23 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e1) & op(e2, e2) = e1 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & op(e0, e1) = e0 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11767) implies:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11768) op(e2, e2) = e1
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (11529), (11768), (function-axioms) are
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1867.
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11769) all_56_3 = e0 & op(e2, e2) = e0
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11769) implies:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11770) op(e2, e2) = e0
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (352), (11725), (11770),
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | #1507.
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | (11771) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11771) gives:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11772) all_56_7 = e0 & op(e1, e2) = e0
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11772) implies:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11773) all_56_7 = e0
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (158), (170), (228), (373), (11516),
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11713), (11773), (function-axioms) are
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #389.
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11774) all_56_13 = e0 & op(e0, e2) = e0
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11774) implies:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11775) op(e0, e2) = e0
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (11721), (11775), (function-axioms) are
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #802.
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | (11776) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (10861), (11545), (11723), (11776) are
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #576.
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | (11777) all_56_10 = e2 & op(e2, e0) = e2
% 247.70/43.14 | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | ALPHA: (11777) implies:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | (11778) op(e2, e0) = e2
% 247.70/43.14 | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (11559), (11778), (function-axioms) are
% 247.70/43.14 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1493.
% 247.70/43.14 | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | (11779) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 247.70/43.14 | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (10864), (11527), (11779),
% 247.70/43.14 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.70/43.14 | | | | | | | | | | | | | | | | | #395.
% 247.70/43.14 | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | (11780) all_54_5 = e1 | all_54_5 = e0
% 247.70/43.14 | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | REF_CLOSE: (268), (11529), (11549), (11780) are inconsistent
% 247.70/43.14 | | | | | | | | | | | | | | by sub-proof #1845.
% 247.70/43.14 | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | (11781) all_32_2 = e0
% 247.70/43.14 | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | COMBINE_EQS: (314), (11781) imply:
% 247.70/43.14 | | | | | | | | | | | | (11782) all_4_2 = e0
% 247.70/43.14 | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | SIMP: (11782) implies:
% 247.70/43.14 | | | | | | | | | | | | (11783) all_4_2 = e0
% 247.70/43.14 | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | REDUCE: (352), (11783) imply:
% 247.70/43.14 | | | | | | | | | | | | (11784) ~ (all_52_4 = e0)
% 247.70/43.14 | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | REDUCE: (358), (11783) imply:
% 247.70/43.14 | | | | | | | | | | | | (11785) ~ (all_52_9 = e0)
% 247.70/43.14 | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | REDUCE: (360), (11783) imply:
% 247.70/43.14 | | | | | | | | | | | | (11786) ~ (all_52_13 = e0)
% 247.70/43.14 | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | REDUCE: (36), (11783) imply:
% 247.70/43.14 | | | | | | | | | | | | (11787) op(e2, e2) = e0
% 247.70/43.14 | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | BETA: splitting (190) gives:
% 247.70/43.14 | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | (11788) all_54_14 = e3
% 247.70/43.14 | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | COMBINE_EQS: (247), (11788) imply:
% 247.70/43.14 | | | | | | | | | | | | | (11789) all_52_11 = e3
% 247.70/43.14 | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | REDUCE: (11517), (11789) imply:
% 247.70/43.14 | | | | | | | | | | | | | (11790) $false
% 247.70/43.14 | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | CLOSE: (11790) is inconsistent.
% 247.70/43.14 | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | (11791) ~ (all_54_14 = e3)
% 247.70/43.14 | | | | | | | | | | | | | (11792) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 247.70/43.14 | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | BETA: splitting (202) gives:
% 247.70/43.14 | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | (11793) all_54_2 = e3
% 247.70/43.14 | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | COMBINE_EQS: (271), (11793) imply:
% 247.70/43.14 | | | | | | | | | | | | | | (11794) all_52_8 = e3
% 247.70/43.14 | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | SIMP: (11794) implies:
% 247.70/43.14 | | | | | | | | | | | | | | (11795) all_52_8 = e3
% 247.70/43.14 | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | REDUCE: (134), (11795) imply:
% 247.70/43.14 | | | | | | | | | | | | | | (11796) ~ (all_52_4 = e3)
% 247.70/43.14 | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | REDUCE: (123), (11795) imply:
% 247.70/43.14 | | | | | | | | | | | | | | (11797) ~ (all_52_9 = e3)
% 247.70/43.14 | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | SIMP: (11797) implies:
% 247.70/43.14 | | | | | | | | | | | | | | (11798) ~ (all_52_9 = e3)
% 247.70/43.14 | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | REDUCE: (121), (11795) imply:
% 247.70/43.14 | | | | | | | | | | | | | | (11799) ~ (all_52_11 = e3)
% 247.70/43.14 | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | REDUCE: (120), (11795) imply:
% 247.70/43.14 | | | | | | | | | | | | | | (11800) ~ (all_52_12 = e3)
% 247.70/43.14 | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | REDUCE: (169), (11795) imply:
% 247.70/43.14 | | | | | | | | | | | | | | (11801) op(e3, e1) = e3
% 247.70/43.14 | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 247.70/43.14 | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | (11802) all_54_1 = e3
% 247.70/43.14 | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | REF_CLOSE: (272), (11796), (11802) are inconsistent by
% 247.70/43.14 | | | | | | | | | | | | | | | sub-proof #1600.
% 247.70/43.14 | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | (11803) ~ (all_54_1 = e3)
% 247.70/43.14 | | | | | | | | | | | | | | | (11804) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 247.70/43.14 | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | BETA: splitting (11804) gives:
% 247.70/43.14 | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | (11805) all_54_1 = e2
% 247.70/43.14 | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (11805) imply:
% 247.70/43.14 | | | | | | | | | | | | | | | | (11806) all_52_4 = e2
% 247.70/43.14 | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | SIMP: (11806) implies:
% 247.70/43.14 | | | | | | | | | | | | | | | | (11807) all_52_4 = e2
% 247.70/43.14 | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | REDUCE: (133), (11807) imply:
% 247.70/43.14 | | | | | | | | | | | | | | | | (11808) ~ (all_52_12 = e2)
% 247.70/43.14 | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | SIMP: (11808) implies:
% 247.70/43.14 | | | | | | | | | | | | | | | | (11809) ~ (all_52_12 = e2)
% 247.70/43.14 | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | REDUCE: (11796), (11807) imply:
% 247.70/43.14 | | | | | | | | | | | | | | | | (11810) ~ (e3 = e2)
% 247.70/43.14 | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 247.70/43.14 | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | (11811) all_54_6 = e3
% 247.70/43.14 | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (11798), (11811) are inconsistent by
% 247.70/43.14 | | | | | | | | | | | | | | | | | sub-proof #1595.
% 247.70/43.14 | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | (11812) ~ (all_54_6 = e3)
% 247.70/43.14 | | | | | | | | | | | | | | | | | (11813) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 247.70/43.14 | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 247.70/43.14 | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | (11814) all_54_3 = e3
% 247.70/43.14 | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (11518), (11814) are inconsistent by
% 247.70/43.14 | | | | | | | | | | | | | | | | | | sub-proof #1725.
% 247.70/43.14 | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | (11815) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 247.70/43.14 | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 247.70/43.14 | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | (11816) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 247.70/43.14 | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | BETA: splitting (11816) gives:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | (11817) all_56_9 = e2 & op(e3, e0) = e2
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | ALPHA: (11817) implies:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | (11818) op(e3, e0) = e2
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (11809), (11818), (function-axioms) are
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #425.
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | (11819) all_56_10 = e2 & op(e2, e0) = e2
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | ALPHA: (11819) implies:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | (11820) op(e2, e0) = e2
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11813) gives:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | (11821) all_54_6 = e2
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (10862), (11821) are inconsistent by
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | sub-proof #1432.
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | (11822) ~ (all_54_6 = e2)
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | (11823) all_54_6 = e1 | all_54_6 = e0
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | (11824) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (11796), (11824),
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | #1774.
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | (11825) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11825) gives:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | (11826) all_56_7 = e3 & op(e1, e2) = e3
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11826) implies:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | (11827) all_56_7 = e3
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11815) gives:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | (11828) all_54_3 = e2
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (11809), (11828) are inconsistent by
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1707.
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | (11829) all_54_3 = e1 | all_54_3 = e0
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11823) gives:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11830) all_54_6 = e1
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (11830) imply:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11831) all_52_9 = e1
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11831) implies:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11832) all_52_9 = e1
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (11832) imply:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11833) ~ (all_52_11 = e1)
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11833) implies:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11834) ~ (all_52_11 = e1)
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11798), (11832) imply:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11835) ~ (e3 = e1)
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10862), (11832) imply:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11836) ~ (e2 = e1)
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (11837) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11837) gives:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11838) all_56_6 = e1 & op(e1, e3) = e1
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11838) implies:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11839) op(e1, e3) = e1
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (11542), (11839), (function-axioms) are
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1069.
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11840) all_56_7 = e1 & op(e1, e2) = e1
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11827), (11840) are inconsistent by
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1461.
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (11841) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11841) gives:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11842) all_56_8 = e1 & op(e1, e1) = e1
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11842) implies:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11843) op(e1, e1) = e1
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10865), (11843), (function-axioms) are
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11844) all_56_11 = e1 & op(e1, e0) = e1
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11844) implies:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11845) op(e1, e0) = e1
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11829) gives:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11846) all_54_3 = e1
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (11546), (11846) are inconsistent by
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1706.
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11847) all_54_3 = e0
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (11847) imply:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11848) all_52_12 = e0
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11848) implies:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11849) all_52_12 = e0
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (11849) imply:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11850) op(e3, e0) = e0
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11792) gives:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11851) all_54_14 = e2
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (10863), (11851) are inconsistent by
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1788.
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11852) all_54_14 = e1 | all_54_14 = e0
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11852) gives:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11853) all_54_14 = e1
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (11834), (11853) are inconsistent by
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1787.
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11854) all_54_14 = e0
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (11854) imply:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11855) all_52_11 = e0
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11855) implies:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11856) all_52_11 = e0
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (11856) imply:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11857) ~ (all_52_3 = e0)
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (11856) imply:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11858) ~ (all_52_7 = e0)
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11517), (11856) imply:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11859) ~ (e3 = e0)
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11834), (11856) imply:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11860) ~ (e1 = e0)
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11861) all_54_12 = e3
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (11515), (11861) are inconsistent by
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1503.
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11862) ~ (all_54_12 = e3)
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11863) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11863) gives:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11864) all_54_12 = e2
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (11864) imply:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11865) all_52_3 = e2
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11865) implies:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11866) all_52_3 = e2
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (11866) imply:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11867) ~ (all_52_1 = e2)
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11868) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11868) gives:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11869) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11869) gives:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11870) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (11867), (11870), (function-axioms) are
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1721.
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11871) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (373), (11542), (11871),
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1068.
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11872) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11872) gives:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11873) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (11527), (11796), (11873),
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1048.
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11874) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (10865), (11527), (11787), (11874),
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #406.
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11875) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11875) gives:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11876) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11876) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11877) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (169), (11527), (11801), (11877),
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1045.
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11878) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (11527), (11850), (11878),
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #397.
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11879) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11879) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11880) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11547), (11880), (function-axioms) are
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1831.
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11881) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11881) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11882) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11882) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11883) ~ (all_57_29 = e1)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11884) op(e1, e0) = all_57_29
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11845), (11883), (11884), (function-axioms) are
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11885) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11885) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11886) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11886) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11887) ~ (all_57_27 = e2)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11888) op(e2, e0) = all_57_27
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (11820), (11887), (11888),
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #807.
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11889) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11889) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11890) op(e0, e0) = all_57_31
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11891) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (158), (169), (11527), (11547), (11787),
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11801), (11858), (11890), (11891),
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #387.
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11892) all_54_12 = e1 | all_54_12 = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (11543), (11857), (11892) are inconsistent
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1195.
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11893) all_54_6 = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (11785), (11893) are inconsistent by
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1431.
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | (11894) all_56_13 = e3 & op(e0, e2) = e3
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11894) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | (11895) op(e0, e2) = e3
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (11516), (11895), (function-axioms) are
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #669.
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.15 | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | (11896) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (10864), (11527), (11896),
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | #395.
% 247.70/43.15 | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.15 | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | End of split
% 247.70/43.15 | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | End of split
% 247.70/43.15 | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | (11897) all_54_1 = e1 | all_54_1 = e0
% 247.70/43.15 | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | REF_CLOSE: (272), (11544), (11784), (11897) are inconsistent
% 247.70/43.15 | | | | | | | | | | | | | | | | by sub-proof #1590.
% 247.70/43.15 | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | End of split
% 247.70/43.15 | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | End of split
% 247.70/43.15 | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | (11898) ~ (all_54_2 = e3)
% 247.70/43.15 | | | | | | | | | | | | | | (11899) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 247.70/43.15 | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | REDUCE: (271), (11898) imply:
% 247.70/43.15 | | | | | | | | | | | | | | (11900) ~ (all_52_8 = e3)
% 247.70/43.15 | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | BETA: splitting (11899) gives:
% 247.70/43.15 | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | (11901) all_54_2 = e2
% 247.70/43.15 | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | REF_CLOSE: (271), (10861), (11901) are inconsistent by
% 247.70/43.15 | | | | | | | | | | | | | | | sub-proof #1596.
% 247.70/43.15 | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | (11902) all_54_2 = e1 | all_54_2 = e0
% 247.70/43.15 | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | BETA: splitting (11902) gives:
% 247.70/43.15 | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | (11903) all_54_2 = e1
% 247.70/43.15 | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | REF_CLOSE: (271), (11545), (11903) are inconsistent by
% 247.70/43.15 | | | | | | | | | | | | | | | | sub-proof #1615.
% 247.70/43.15 | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | (11904) all_54_2 = e0
% 247.70/43.15 | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (11904) imply:
% 247.70/43.15 | | | | | | | | | | | | | | | | (11905) all_52_8 = e0
% 247.70/43.15 | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | SIMP: (11905) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | (11906) all_52_8 = e0
% 247.70/43.15 | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | REDUCE: (121), (11906) imply:
% 247.70/43.15 | | | | | | | | | | | | | | | | (11907) ~ (all_52_11 = e0)
% 247.70/43.15 | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | SIMP: (11907) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | (11908) ~ (all_52_11 = e0)
% 247.70/43.15 | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | REDUCE: (120), (11906) imply:
% 247.70/43.15 | | | | | | | | | | | | | | | | (11909) ~ (all_52_12 = e0)
% 247.70/43.15 | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | SIMP: (11909) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | (11910) ~ (all_52_12 = e0)
% 247.70/43.15 | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | REDUCE: (11900), (11906) imply:
% 247.70/43.15 | | | | | | | | | | | | | | | | (11911) ~ (e3 = e0)
% 247.70/43.15 | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | REDUCE: (11545), (11906) imply:
% 247.70/43.15 | | | | | | | | | | | | | | | | (11912) ~ (e1 = e0)
% 247.70/43.15 | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | (11913) all_54_3 = e3
% 247.70/43.15 | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (11518), (11913) are inconsistent by
% 247.70/43.15 | | | | | | | | | | | | | | | | | sub-proof #1725.
% 247.70/43.15 | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | (11914) ~ (all_54_3 = e3)
% 247.70/43.15 | | | | | | | | | | | | | | | | | (11915) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | BETA: splitting (11915) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | (11916) all_54_3 = e2
% 247.70/43.15 | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (11916) imply:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | (11917) all_52_12 = e2
% 247.70/43.15 | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | SIMP: (11917) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | (11918) all_52_12 = e2
% 247.70/43.15 | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | REDUCE: (133), (11918) imply:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | (11919) ~ (all_52_4 = e2)
% 247.70/43.15 | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | REDUCE: (113), (11918) imply:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | (11920) ~ (all_52_13 = e2)
% 247.70/43.15 | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | SIMP: (11920) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | (11921) ~ (all_52_13 = e2)
% 247.70/43.15 | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | REDUCE: (112), (11918) imply:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | (11922) ~ (all_52_14 = e2)
% 247.70/43.15 | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | REDUCE: (11518), (11918) imply:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | (11923) ~ (e3 = e2)
% 247.70/43.15 | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | (11924) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | BETA: splitting (11924) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | (11925) all_56_1 = e2 & op(e3, e2) = e2
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (11919), (11925), (function-axioms) are
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #412.
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | (11926) all_56_3 = e2 & op(e2, e2) = e2
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | ALPHA: (11926) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | (11927) op(e2, e2) = e2
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11787), (11927), (function-axioms) are
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1835.
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.15 | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | (11928) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | BETA: splitting (11928) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | (11929) all_56_7 = e2 & op(e1, e2) = e2
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (10860), (11929), (function-axioms) are
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #442.
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | (11930) all_56_13 = e2 & op(e0, e2) = e2
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | ALPHA: (11930) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | (11931) all_56_13 = e2
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | (11932) op(e0, e2) = e2
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | (11933) all_54_7 = e3
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (11519), (11933) are inconsistent by
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | sub-proof #1420.
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | (11934) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | (11935) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11935) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | (11936) all_56_4 = e3 & op(e3, e1) = e3
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11936) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | (11937) op(e3, e1) = e3
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (11900), (11937), (function-axioms) are
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1599.
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | (11938) all_56_5 = e3 & op(e2, e1) = e3
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11938) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | (11939) all_56_5 = e3
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | (11940) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | (11547), (11787), (11940), (function-axioms) are
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #964.
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | (11941) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11941) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11942) all_56_5 = e1 & op(e2, e1) = e1
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11942) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11943) op(e2, e1) = e1
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (165), (247), (10863), (11792), (11908),
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11943), (function-axioms) are inconsistent by
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1197.
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11944) all_56_10 = e1 & op(e2, e0) = e1
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11944) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11945) all_56_10 = e1
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11934) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (11946) all_54_7 = e2
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (11921), (11946) are inconsistent by
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1419.
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (11947) ~ (all_54_7 = e2)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (11948) all_54_7 = e1 | all_54_7 = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11949) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11949) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11950) all_56_2 = e2 & op(e2, e3) = e2
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11950) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11951) all_56_2 = e2
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11952) op(e2, e3) = e2
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11953) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11953) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11954) all_56_4 = e0 & op(e3, e1) = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11954) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11955) all_56_4 = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11948) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11956) all_54_7 = e1
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (11956) imply:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11957) all_52_13 = e1
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11957) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11958) all_52_13 = e1
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (11958) imply:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11959) ~ (all_52_14 = e1)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11959) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11960) ~ (all_52_14 = e1)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11921), (11958) imply:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11961) ~ (e2 = e1)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11962) all_54_1 = e3
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (11962) imply:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11963) all_52_4 = e3
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (11963) imply:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11964) ~ (all_52_7 = e3)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (11963) imply:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11965) op(e3, e2) = e3
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11966) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11966) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11967) all_56_0 = e3 & op(e3, e3) = e3
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11967) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11968) op(e3, e3) = e3
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11547), (11968), (function-axioms) are
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1864.
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11969) all_56_2 = e3 & op(e2, e3) = e3
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11969) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11970) op(e2, e3) = e3
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11952), (11970), (function-axioms) are
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #918.
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11971) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11971) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11972) all_56_6 = e3 & op(e1, e3) = e3
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11972) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11973) all_56_6 = e3
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11974) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11974) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11975) all_56_6 = e1 & op(e1, e3) = e1
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11975) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11976) op(e1, e3) = e1
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (11542), (11976), (function-axioms) are
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1069.
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11977) all_56_7 = e1 & op(e1, e2) = e1
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11977) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11978) all_56_7 = e1
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11979) op(e1, e2) = e1
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11792) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11980) all_54_14 = e2
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (10863), (11980) are inconsistent by
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1788.
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11981) all_54_14 = e1 | all_54_14 = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11982) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (222), (223),
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (373), (11547), (11787), (11945), (11982),
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1052.
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11983) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11983) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11984) all_56_6 = e0 & op(e1, e3) = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11984) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11985) all_56_6 = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11973), (11985) imply:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11986) e3 = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11939), (11986) imply:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11987) all_56_5 = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (218), (219),
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (11517), (11955), (11987),
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #610.
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11988) all_56_12 = e0 & op(e0, e3) = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11988) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11989) all_56_12 = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11990) op(e0, e3) = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11991) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11991) gives:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11992) all_56_6 = e0 & op(e1, e3) = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11992) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11993) all_56_6 = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11973), (11993) imply:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11994) e3 = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11994) implies:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11995) e3 = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11939), (11995) imply:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11996) all_56_5 = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (222),
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (233), (235), (373), (11547),
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11787), (11921), (11989), (11996),
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #428.
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11997) all_56_7 = e0 & op(e1, e2) = e0
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11997) implies:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11998) all_56_7 = e0
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11999) op(e1, e2) = e0
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (226),
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (373), (11516), (11787), (11931),
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11998), (11999), (function-axioms) are
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #384.
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12000) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12000) gives:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12001) all_56_8 = e0 & op(e1, e1) = e0
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12001) implies:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12002) op(e1, e1) = e0
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (163),
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (225), (226), (228), (373), (10859),
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10864), (11931), (12002), (function-axioms) are
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #695.
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12003) all_56_11 = e0 & op(e1, e0) = e0
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12003) implies:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12004) all_56_11 = e0
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12005) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12005) gives:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12006) all_56_4 = e1 & op(e3, e1) = e1
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (11545), (12006), (function-axioms) are
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12007) all_56_5 = e1 & op(e2, e1) = e1
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12007) implies:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12008) op(e2, e1) = e1
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (165), (247), (11908), (11981), (12008),
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1198.
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12009) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12009) gives:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12010) all_56_8 = e1 & op(e1, e1) = e1
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12010) implies:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12011) op(e1, e1) = e1
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10865), (12011), (function-axioms) are
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12012) all_56_14 = e1 & op(e0, e1) = e1
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12012) implies:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12013) op(e0, e1) = e1
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12014) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12014) gives:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12015) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12015) gives:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12016) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12016) gives:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12017) all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_17) & $i(all_57_28)
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12017) implies:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12018) op(e1, e1) = e3
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (215), (11973), (11978), (12004),
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12018), (function-axioms) are inconsistent by
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1135.
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12019) all_57_16 = e2 & all_57_31 = e3 & ~ (all_57_18 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e0, e3) = all_57_18 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_28)
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12019) implies:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12020) ~ (all_57_18 = e0)
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12021) op(e0, e3) = all_57_18
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11990), (12020), (12021), (function-axioms) are
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1332.
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12022) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (11990), (12022), (function-axioms)
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1035.
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12023) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12023) gives:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12024) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11527), (11979), (12024), (function-axioms)
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #915.
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12025) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (10865), (11527), (11787), (12025),
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #406.
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12026) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12026) gives:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12027) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (168), (10862), (11518), (11527),
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12027), (function-axioms) are inconsistent by
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1061.
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12028) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12028) gives:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12029) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11547), (12029), (function-axioms) are
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1831.
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12030) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12030) gives:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12031) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12031) implies:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12032) ~ (all_57_28 = e0)
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12033) op(e2, e2) = all_57_28
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11787), (12032), (12033), (function-axioms) are
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1781.
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12034) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12034) gives:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12035) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 247.70/43.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &